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ALGORITHMS AND-COMBINATORICS

  • Algorithms and Combinatorics
  • Algorithms and Combinatorics (ISSN 0937-5511) is a book series in mathematics, and particularly in combinatorics and the design and analysis of algorithms

    Algorithms and Combinatorics

    Algorithms_and_Combinatorics

  • Ron Rivest
  • American cryptographer (born 1947)

    cryptographer and computer scientist whose work has spanned the fields of algorithms and combinatorics, cryptography, machine learning, and election integrity

    Ron Rivest

    Ron Rivest

    Ron_Rivest

  • Ramsey's theorem
  • Statement in mathematical combinatorics

    In combinatorics, Ramsey's theorem, in one of its graph-theoretic forms, states that one will find monochromatic cliques in any edge labelling (with colours)

    Ramsey's theorem

    Ramsey's_theorem

  • Combinatorics
  • Branch of discrete mathematics

    oldest and most accessible parts of combinatorics is graph theory, which by itself has numerous natural connections to other areas. Combinatorics is used

    Combinatorics

    Combinatorics

  • Probabilistic analysis of algorithms
  • In analysis of algorithms, probabilistic analysis of algorithms is an approach to estimate the computational complexity of an algorithm or a computational

    Probabilistic analysis of algorithms

    Probabilistic_analysis_of_algorithms

  • ACM SIGACT
  • Association for Computing Machinery (ACM) special interest group

    Workshop on Algorithms and Experiments ANALCO: Workshop on Analytic Algorithms and Combinatorics SPAA: ACM Symposium on Parallelism in Algorithms and Architectures

    ACM SIGACT

    ACM_SIGACT

  • The Strange Logic of Random Graphs
  • 2001 book by Joel Spencer

    written by Joel Spencer and published in 2001 by Springer-Verlag as volume 22 of their book series Algorithms and Combinatorics. The random graphs of the

    The Strange Logic of Random Graphs

    The_Strange_Logic_of_Random_Graphs

  • Robert Sedgewick (computer scientist)
  • American computer scientist

    Algorithmics and Combinatorics (ANALCO), a series of meetings annually held from 2004 to 2019, co-located with the Symposium on Discrete Algorithms (SODA)

    Robert Sedgewick (computer scientist)

    Robert Sedgewick (computer scientist)

    Robert_Sedgewick_(computer_scientist)

  • Algorithmic Combinatorics on Partial Words
  • 2007 mathematics book by Francine Blanchet-Sadri

    Algorithmic Combinatorics on Partial Words is a book in the area of combinatorics on words, and more specifically on partial words. It was written by

    Algorithmic Combinatorics on Partial Words

    Algorithmic_Combinatorics_on_Partial_Words

  • Flajolet Lecture Prize
  • Scientific prize and lecture series

    work in a variety of areas, including analysis of algorithms, analytic combinatorics, combinatorics, communication protocols, complex analysis, computational

    Flajolet Lecture Prize

    Flajolet_Lecture_Prize

  • Hermite normal form
  • Matrix form in linear algebra

    Schrijver, Alexander (1993), Geometric algorithms and combinatorial optimization, Algorithms and Combinatorics, vol. 2 (2nd ed.), Springer-Verlag, Berlin

    Hermite normal form

    Hermite_normal_form

  • Kristina Vušković
  • Serbian mathematician (born 1967)

    Serbian mathematician and theoretical computer scientist working in graph theory. She is Professor in Algorithms and Combinatorics in the School of Computing

    Kristina Vušković

    Kristina_Vušković

  • Combinatorial optimization
  • Subfield of mathematical optimization

    tractable, and so specialized algorithms that quickly rule out large parts of the search space or approximation algorithms must be resorted to instead.

    Combinatorial optimization

    Combinatorial optimization

    Combinatorial_optimization

  • Graph coloring
  • Methodic assignment of colors to elements of a graph

    (2012), "Theorem 3.13", Sparsity: Graphs, Structures, and Algorithms, Algorithms and Combinatorics, vol. 28, Heidelberg: Springer, p. 42, doi:10.1007/978-3-642-27875-4

    Graph coloring

    Graph coloring

    Graph_coloring

  • Bellman–Ford algorithm
  • Algorithm for finding the shortest paths in graphs

    Graph Algorithms". Algorithms in a Nutshell. O'Reilly Media. pp. 160–164. ISBN 978-0-596-51624-6. Kleinberg, Jon; Tardos, Éva (2006). Algorithm Design

    Bellman–Ford algorithm

    Bellman–Ford algorithm

    Bellman–Ford_algorithm

  • Combinatorics on words
  • Branch of mathematical linguistics

    theoretical computer science. Combinatorics on words became useful in the study of algorithms and coding. Combinatorics on words is considered a relatively

    Combinatorics on words

    Combinatorics_on_words

  • Outline of combinatorics
  • Overview of and topical guide to combinatorics

    Algebraic combinatorics Analytic combinatorics Arithmetic combinatorics Combinatorics on words Combinatorial design theory Enumerative combinatorics Extremal

    Outline of combinatorics

    Outline_of_combinatorics

  • Linear programming
  • Method to solve optimization problems

    Borgwardt, Karl-Heinz (1987). The Simplex Algorithm: A Probabilistic Analysis. Algorithms and Combinatorics. Vol. 1. Springer-Verlag. (Average behavior

    Linear programming

    Linear programming

    Linear_programming

  • Shortest path problem
  • Computational problem of graph theory

    (2004). Combinatorial Optimization — Polyhedra and Efficiency. Algorithms and Combinatorics. Vol. 24. Springer. vol.A, sect.7.5b, p. 103. ISBN 978-3-540-20456-5

    Shortest path problem

    Shortest path problem

    Shortest_path_problem

  • Comparability graph
  • Graph linking pairs of comparable elements in a partial order

    Reed, Bruce A.; Sales, Cláudia L. (eds.), Recent Advances in Algorithms and Combinatorics, CMS Books in Mathematics, vol. 11, Springer-Verlag, pp. 65–84

    Comparability graph

    Comparability_graph

  • Algorithm
  • Sequence of operations for a task

    perform a computation. Algorithms are used as specifications for performing calculations and data processing. More advanced algorithms can use conditionals

    Algorithm

    Algorithm

    Algorithm

  • IMU Abacus Medal
  • Mathematics award

    of algorithms, cryptography, computer vision, pattern recognition, information processing and modelling of intelligence. Scientific computing and numerical

    IMU Abacus Medal

    IMU Abacus Medal

    IMU_Abacus_Medal

  • Mohammad Hajiaghayi
  • Computer scientist

    "Bidimensional Structures: Algorithms, Combinatorics and Logic". 2013. "FOCS 2013 Workshop on Bidimensional Structures: Algorithms and Combinatorics". 2013. "CS Team

    Mohammad Hajiaghayi

    Mohammad Hajiaghayi

    Mohammad_Hajiaghayi

  • Lovász number
  • Upper bound on a graph's Shannon capacity

    Schrijver, Alexander (1993), Geometric algorithms and combinatorial optimization, Algorithms and Combinatorics, vol. 2 (2nd ed.), Springer-Verlag, Berlin

    Lovász number

    Lovász_number

  • Induced path
  • Graph path which is an induced subgraph

    "Chapter 6. Bounded height trees and tree-depth". Sparsity: Graphs, Structures, and Algorithms. Algorithms and Combinatorics. Vol. 28. Heidelberg: Springer

    Induced path

    Induced path

    Induced_path

  • Dense graph
  • Graph with almost the max amount of edges

    Mendez, Patrice (2012), Sparsity: Graphs, Structures, and Algorithms, Algorithms and Combinatorics, vol. 28, Heidelberg: Springer, doi:10.1007/978-3-642-27875-4

    Dense graph

    Dense graph

    Dense_graph

  • Turing machine
  • Computation model defining an abstract machine

    Schrijver, Alexander (1993). Geometric algorithms and combinatorial optimization. Algorithms and Combinatorics. Vol. 2 (2nd ed.). Berlin: Springer-Verlag

    Turing machine

    Turing machine

    Turing_machine

  • László Lovász
  • Hungarian mathematician (born 1948)

    Schrijver, Alexander (1993), Geometric algorithms and combinatorial optimization, Algorithms and Combinatorics, vol. 2 (2nd ed.), Springer-Verlag, Berlin

    László Lovász

    László Lovász

    László_Lovász

  • Simplex algorithm
  • Algorithm for linear programming

    (1987). The simplex method: A probabilistic analysis. Algorithms and Combinatorics (Study and Research Texts). Vol. 1. Berlin: Springer-Verlag. pp. xii+268

    Simplex algorithm

    Simplex algorithm

    Simplex_algorithm

  • Minimum spanning tree
  • Least-weight tree connecting graph vertices

    Schrijver, Alexander (1993), Geometric algorithms and combinatorial optimization, Algorithms and Combinatorics, vol. 2 (2nd ed.), Springer-Verlag, Berlin

    Minimum spanning tree

    Minimum spanning tree

    Minimum_spanning_tree

  • Polyhedron
  • Flat-sided three-dimensional shape

    Schrijver, Alexander (1993), Geometric algorithms and combinatorial optimization, Algorithms and Combinatorics, vol. 2 (2nd ed.), Berlin: Springer-Verlag

    Polyhedron

    Polyhedron

    Polyhedron

  • Necklace (combinatorics)
  • Equivalence class in mathematics

    In combinatorics, a k-ary necklace of length n is an equivalence class of n-character strings over an alphabet of size k, taking all rotations as equivalent

    Necklace (combinatorics)

    Necklace (combinatorics)

    Necklace_(combinatorics)

  • Topological combinatorics
  • Mathematical subject

    discipline of topological combinatorics is the application of topological and algebro-topological methods to solving problems in combinatorics. The discipline of

    Topological combinatorics

    Topological_combinatorics

  • Blossom algorithm
  • Algorithm for finding max graph matchings

    Alexander (2003). Combinatorial Optimization: Polyhedra and Efficiency. Algorithms and Combinatorics. Berlin Heidelberg: Springer-Verlag. ISBN 9783540443896

    Blossom algorithm

    Blossom_algorithm

  • Dinic's algorithm
  • Algorithm for computing the maximal flow of a network

    "8.4 Blocking Flows and Fujishige's Algorithm". Combinatorial Optimization: Theory and Algorithms (Algorithms and Combinatorics, 21). Springer Berlin

    Dinic's algorithm

    Dinic's_algorithm

  • Alexander Schrijver
  • Dutch mathematician and computer scientist

    Schrijver, Alexander (1993), Geometric algorithms and combinatorial optimization, Algorithms and Combinatorics, vol. 2 (2nd ed.), Springer-Verlag, Berlin

    Alexander Schrijver

    Alexander Schrijver

    Alexander_Schrijver

  • Graph property
  • Property of graphs that depends only on abstract structure

    10 Graph Parameters", Sparsity: Graphs, Structures, and Algorithms, Algorithms and Combinatorics, vol. 28, Springer, pp. 54–56, doi:10.1007/978-3-642-27875-4

    Graph property

    Graph property

    Graph_property

  • 1-planar graph
  • Graph with at most one crossing per edge

    Mendez, Patrice (2012), Sparsity: Graphs, Structures, and Algorithms, Algorithms and Combinatorics, vol. 28, Springer, Theorem 14.4, p. 321, doi:10.1007/978-3-642-27875-4

    1-planar graph

    1-planar graph

    1-planar_graph

  • Bin packing problem
  • Mathematical and computational problem

    produced with sophisticated algorithms. In addition, many approximation algorithms exist. For example, the first fit algorithm provides a fast but often

    Bin packing problem

    Bin_packing_problem

  • Jaroslav Nešetřil
  • Czech mathematician (born 1946)

    1946) is a Czech mathematician. His research areas include combinatorics (structural combinatorics, Ramsey theory), graph theory (coloring problems, sparse

    Jaroslav Nešetřil

    Jaroslav Nešetřil

    Jaroslav_Nešetřil

  • Lexicographic order
  • Generalised alphabetical order

    variant, widely used in combinatorics, orders subsets of a given finite set by assigning a total order to the finite set, and converting subsets into

    Lexicographic order

    Lexicographic_order

  • Star coloring
  • Graph coloring avoiding 2-colored paths

    and Algorithms, Algorithms and Combinatorics, vol. 28, Springer, doi:10.1007/978-3-642-27875-4, ISBN 978-3-642-27874-7, MR 2920058 Star colorings and

    Star coloring

    Star coloring

    Star_coloring

  • Gram–Schmidt process
  • Orthonormalization of a set of vectors

    Schrijver, Alexander (1993), Geometric algorithms and combinatorial optimization, Algorithms and Combinatorics, vol. 2 (2nd ed.), Springer-Verlag, Berlin

    Gram–Schmidt process

    Gram–Schmidt process

    Gram–Schmidt_process

  • Additive combinatorics
  • Area of combinatorics in mathematics

    Additive combinatorics is an area of combinatorics in mathematics. One major area of study in additive combinatorics are inverse problems: given the size

    Additive combinatorics

    Additive_combinatorics

  • Ellipsoid method
  • Iterative method for minimizing convex functions

    Schrijver, Alexander (1993), Geometric algorithms and combinatorial optimization, Algorithms and Combinatorics, vol. 2 (2nd ed.), Springer-Verlag, Berlin

    Ellipsoid method

    Ellipsoid method

    Ellipsoid_method

  • Core (graph theory)
  • (2012), "Proposition 3.5", Sparsity: Graphs, Structures, and Algorithms, Algorithms and Combinatorics, vol. 28, Heidelberg: Springer, p. 43, doi:10.1007/978-3-642-27875-4

    Core (graph theory)

    Core (graph theory)

    Core_(graph_theory)

  • Orientation (graph theory)
  • Assigning directions to the edges of an undirected graph

    (2012), "Theorem 3.13", Sparsity: Graphs, Structures, and Algorithms, Algorithms and Combinatorics, vol. 28, Heidelberg: Springer, p. 42, doi:10.1007/978-3-642-27875-4

    Orientation (graph theory)

    Orientation (graph theory)

    Orientation_(graph_theory)

  • Grundy number
  • Maximum number of colors in a greedy graph coloring

    Subgraph Isomorphism Problem and Boolean Queries", Sparsity: Graphs, Structures, and Algorithms, Algorithms and Combinatorics, vol. 28, Springer, pp. 400–401

    Grundy number

    Grundy number

    Grundy_number

  • Polyhedral combinatorics
  • Combinitorics of Polyhedra

    Polyhedral combinatorics is a branch of mathematics, within combinatorics and discrete geometry, that studies the problems of counting and describing

    Polyhedral combinatorics

    Polyhedral_combinatorics

  • Almost surely
  • Probability saying

    Two Starting Examples". The Strange Logic of Random Graphs. Algorithms and Combinatorics. Vol. 22. Springer. p. 4. ISBN 978-3540416548. Rogers, L. C.

    Almost surely

    Almost_surely

  • Clique problem
  • Task of computing complete subgraphs

    4 Coloring Perfect Graphs", Geometric Algorithms and Combinatorial Optimization, Algorithms and Combinatorics, vol. 2, Springer-Verlag, pp. 296–298,

    Clique problem

    Clique problem

    Clique_problem

  • Cut (graph theory)
  • Partition of a graph's nodes into 2 disjoint subsets

    Gomory–Hu Trees", Combinatorial Optimization: Theory and Algorithms, Algorithms and Combinatorics, vol. 21, Springer, pp. 180–186, ISBN 978-3-540-71844-4

    Cut (graph theory)

    Cut_(graph_theory)

  • Dominating set
  • Subset of a graph's nodes such that all other nodes link to at least one

    efficient algorithm that can compute γ(G) for all graphs G. However, there are efficient approximation algorithms, as well as efficient exact algorithms for

    Dominating set

    Dominating set

    Dominating_set

  • Hadwiger–Nelson problem
  • Mathematical problem

    Sharir, Micha (eds.), Discrete and Computational Geometry: The Goodman–Pollack Festschrift (PDF), Algorithms and Combinatorics, vol. 25, Berlin: Springer

    Hadwiger–Nelson problem

    Hadwiger–Nelson problem

    Hadwiger–Nelson_problem

  • Metric space
  • Mathematical space with a notion of distance

    Michel Marie; Laurent, Monique (1997), Geometry of Cuts and Metrics, Algorithms and Combinatorics, vol. 15, Springer-Verlag, Berlin, p. 27, doi:10.1007/978-3-642-04295-9

    Metric space

    Metric space

    Metric_space

  • 1105 (number)
  • Natural number

    Nešetřil, Jaroslav (eds.). The mathematics of Paul Erdős, I. Algorithms and Combinatorics. Vol. 13. Berlin: Springer. pp. 268–275. doi:10.1007/978-3-642-60408-9_21

    1105 (number)

    1105_(number)

  • Transversal (combinatorics)
  • Set that intersects every one of a family of sets

    In mathematics, particularly in combinatorics, given a family of sets, here called a collection C, a transversal (also called a cross-section) is a set

    Transversal (combinatorics)

    Transversal_(combinatorics)

  • Discrete mathematics
  • Study of discrete mathematical structures

    analytic combinatorics aims at obtaining asymptotic formulae. Topological combinatorics concerns the use of techniques from topology and algebraic

    Discrete mathematics

    Discrete mathematics

    Discrete_mathematics

  • Independent set (graph theory)
  • Unrelated vertices in graphs

    Schrijver, Alexander (1993), Geometric algorithms and combinatorial optimization, Algorithms and Combinatorics, vol. 2 (2nd ed.), Springer-Verlag, Berlin

    Independent set (graph theory)

    Independent set (graph theory)

    Independent_set_(graph_theory)

  • Strongly-polynomial time
  • Measure of algorithmic complexity

    Schrijver, Alexander (1993), Geometric algorithms and combinatorial optimization, Algorithms and Combinatorics, vol. 2 (2nd ed.), Springer-Verlag, Berlin

    Strongly-polynomial time

    Strongly-polynomial_time

  • Analytic combinatorics
  • Field of combinatorics using complex analysis

    Analytic combinatorics uses techniques from complex analysis to solve problems in enumerative combinatorics, specifically to find asymptotic estimates

    Analytic combinatorics

    Analytic_combinatorics

  • Jiří Matoušek (mathematician)
  • Czech mathematician (1963–2015)

    Loebl, Robin Thomas, and Pavel Valtr). Springer-Verlag, Algorithms and Combinatorics 26, 2006. ISBN 978-3-540-33698-3. Understanding and Using Linear Programming

    Jiří Matoušek (mathematician)

    Jiří Matoušek (mathematician)

    Jiří_Matoušek_(mathematician)

  • Dilworth's theorem
  • On chains and antichains in partial orders

    (2012), "Theorem 3.13", Sparsity: Graphs, Structures, and Algorithms, Algorithms and Combinatorics, vol. 28, Heidelberg: Springer, p. 42, doi:10.1007/978-3-642-27875-4

    Dilworth's theorem

    Dilworth's_theorem

  • Analytic Combinatorics (book)
  • 2009 book on combinatorial enumeration

    material is contemporary and riveting", and he recommends the book to anyone "learning or working in combinatorics". Analytic Combinatorics won the Leroy P. Steele

    Analytic Combinatorics (book)

    Analytic_Combinatorics_(book)

  • Geometry of numbers
  • Application of geometry in number theory

    Schrijver, Alexander (1993), Geometric algorithms and combinatorial optimization, Algorithms and Combinatorics, vol. 2 (2nd ed.), Springer-Verlag, Berlin

    Geometry of numbers

    Geometry of numbers

    Geometry_of_numbers

  • Approximation error
  • Mathematical concept

    (1993), Geometric algorithms and combinatorial optimization, Algorithms and Combinatorics, vol. 2 (2nd ed.), Springer-Verlag, Berlin, doi:10.1007/978-3-642-78240-4

    Approximation error

    Approximation error

    Approximation_error

  • Ellipsoid
  • Quadric surface that looks like a deformed sphere

    Schrijver, Alexander (1993), Geometric algorithms and combinatorial optimization, Algorithms and Combinatorics, vol. 2 (2nd ed.), Springer-Verlag, Berlin

    Ellipsoid

    Ellipsoid

    Ellipsoid

  • Almost all
  • In mathematics, with negligible exceptions

    Spencer, Joel (9 August 2001). The Strange Logic of Random Graphs. Algorithms and Combinatorics. Vol. 22. Springer. pp. 3–4. ISBN 978-3-540-41654-8. Bollobás

    Almost all

    Almost_all

  • Rado graph
  • Infinite graph containing all countable graphs

    (1997), "The random graph", The mathematics of Paul Erdős, II, Algorithms and Combinatorics, vol. 14, Berlin: Springer, pp. 333–351, arXiv:1301.7544, Bibcode:2013arXiv1301

    Rado graph

    Rado graph

    Rado_graph

  • Gomory–Hu tree
  • Weighted tree representing s-t cuts of a graph

    Gomory–Hu Trees". Combinatorial Optimization: Theory and Algorithms (Algorithms and Combinatorics, 21). Springer Berlin Heidelberg. pp. 180–186. ISBN 978-3-540-71844-4

    Gomory–Hu tree

    Gomory–Hu_tree

  • Gale–Shapley algorithm
  • Procedure for finding a stable matching

    Claire (2018). "College admission algorithms in the real world" (Invited lecture at the European Symposium of Algorithms). Aalto University. Floréen, Patrik;

    Gale–Shapley algorithm

    Gale–Shapley_algorithm

  • Gaussian elimination
  • Algorithm for solving systems of linear equations

    Schrijver, Alexander (1993), Geometric algorithms and combinatorial optimization, Algorithms and Combinatorics, vol. 2 (2nd ed.), Springer-Verlag, Berlin

    Gaussian elimination

    Gaussian elimination

    Gaussian_elimination

  • Factor-critical graph
  • Graph of n vertices with a perfect matching for every subgraph of n-1 vertices

    Factor-Critical Graphs", Combinatorial Optimization: Theory and Algorithms, Algorithms and Combinatorics, vol. 21 (4th ed.), Springer-Verlag, pp. 235–241,

    Factor-critical graph

    Factor-critical graph

    Factor-critical_graph

  • Matroid
  • Abstraction of linear independence of vectors

    In combinatorics, a matroid /ˈmeɪtrɔɪd/ is a structure that abstracts and generalizes the notion of linear independence in vector spaces. There are many

    Matroid

    Matroid

  • Graph minor
  • Subgraph with contracted edges

    Mendez, Patrice (2012), Sparsity: Graphs, Structures, and Algorithms, Algorithms and Combinatorics, vol. 28, Springer, pp. 62–65, doi:10.1007/978-3-642-27875-4

    Graph minor

    Graph_minor

  • Robinson–Schensted correspondence
  • Bijective correspondence in mathematics

    algorithmic nature, it has many remarkable properties, and it has applications in combinatorics and other areas such as representation theory. The correspondence

    Robinson–Schensted correspondence

    Robinson–Schensted_correspondence

  • Continuous knapsack problem
  • Algorithmic problem in computer science

    "17.1 Fractional Knapsack and Weighted Median", Combinatorial Optimization: Theory and Algorithms, Algorithms and Combinatorics, vol. 21, Springer, pp. 459–461

    Continuous knapsack problem

    Continuous_knapsack_problem

  • Dual polyhedron
  • Polyhedron associated with another by swapping vertices for faces

    Sharir, Micha (eds.), Discrete and Computational Geometry: The Goodman–Pollack Festschrift, Algorithms and Combinatorics, vol. 25, Berlin: Springer, pp

    Dual polyhedron

    Dual polyhedron

    Dual_polyhedron

  • Greedy coloring
  • One-by-one assignment of colors to graph vertices

    extremal problem in recursive combinatorics", Proceedings of the Twelfth Southeastern Conference on Combinatorics, Graph Theory and Computing, Vol. II (Baton

    Greedy coloring

    Greedy coloring

    Greedy_coloring

  • Linear separability
  • Geometric property of a pair of sets of points in Euclidean geometry

    Stasys (2012). Boolean Function Complexity: Advances and Frontiers. Algorithms and Combinatorics. Berlin, Heidelberg: Springer Berlin Heidelberg. ISBN 978-3-642-24507-7

    Linear separability

    Linear separability

    Linear_separability

  • Subgraph isomorphism problem
  • Problem in theoretical computer science

    subgraph isomorphism problem and Boolean queries", Sparsity: Graphs, Structures, and Algorithms, Algorithms and Combinatorics, vol. 28, Springer, pp. 400–401

    Subgraph isomorphism problem

    Subgraph isomorphism problem

    Subgraph_isomorphism_problem

  • Discrepancy theory
  • Theory of irregularities of distribution

    ISBN 0-521-77093-9. Matousek, Jiri (1999). Geometric Discrepancy: An Illustrated Guide. Algorithms and combinatorics. Vol. 18. Berlin: Springer. ISBN 3-540-65528-X.

    Discrepancy theory

    Discrepancy_theory

  • Cubic graph
  • Graph with all vertices of degree 3

    cycles in bounded degree graphs", Proc. 4th Workshop on Analytic Algorithmics and Combinatorics (ANALCO '08), pp. 241–248, doi:10.1137/1.9781611972986.8, ISBN 9781611972986

    Cubic graph

    Cubic graph

    Cubic_graph

  • Erdős–Faber–Lovász conjecture
  • Conjecture about coloring graphs

    Problems of Paul Erdős and the Asymptotics of Matchings, Covers and Colorings", The Mathematics of Paul Erdös I, Algorithms and Combinatorics, vol. 13, Springer

    Erdős–Faber–Lovász conjecture

    Erdős–Faber–Lovász conjecture

    Erdős–Faber–Lovász_conjecture

  • Conflict-free coloring
  • Generalization of graph coloring to the hypergraph

    Sharir, Micha (eds.), Discrete and Computational Geometry: The Goodman-Pollack Festschrift, Algorithms and Combinatorics, vol. 25, Berlin, Heidelberg:

    Conflict-free coloring

    Conflict-free coloring

    Conflict-free_coloring

  • Graham scan
  • Algorithm for computing convex hulls in a set of points

    Sharir, Micha (eds.). Discrete and Computational Geometry: The Goodman-Pollack Festschrift. Algorithms and Combinatorics. Vol. 25. Berlin: Springer. pp

    Graham scan

    Graham scan

    Graham_scan

  • Longest path problem
  • Problem of finding the longest simple path for a given graph

    Alexander (2003), Combinatorial Optimization: Polyhedra and Efficiency, Volume 1, Algorithms and Combinatorics, vol. 24, Springer, p. 114, ISBN 9783540443896.

    Longest path problem

    Longest path problem

    Longest_path_problem

  • Octagonal tiling
  • Regular tiling of the hyperbolic plane

    Polyhedra the Same as My Polyhedra?" (PDF). Discrete and Computational Geometry. Algorithms and Combinatorics. Vol. 25. pp. 461–488. doi:10.1007/978-3-642-55566-4_21

    Octagonal tiling

    Octagonal tiling

    Octagonal_tiling

  • N-dimensional polyhedron
  • Schrijver, Alexander (1993), Geometric algorithms and combinatorial optimization, Algorithms and Combinatorics, vol. 2 (2nd ed.), Springer-Verlag, Berlin

    N-dimensional polyhedron

    N-dimensional_polyhedron

  • Diophantine approximation
  • Rational-number approximation of a real number

    Schrijver, Alexander (1993), Geometric algorithms and combinatorial optimization, Algorithms and Combinatorics, vol. 2 (2nd ed.), Springer-Verlag, Berlin

    Diophantine approximation

    Diophantine approximation

    Diophantine_approximation

  • Grötzsch's theorem
  • Every triangle-free planar graph is 3-colorable

    Mendez, Patrice (2012), "2.5 Homomorphism Dualities", Sparsity, Algorithms and Combinatorics, vol. 28, Heidelberg: Springer, pp. 15–16, doi:10.1007/978-3-642-27875-4

    Grötzsch's theorem

    Grötzsch's theorem

    Grötzsch's_theorem

  • TC0
  • Complexity class used in circuit complexity

    Stasys (2012). Boolean Function Complexity: Advances and Frontiers. Algorithms and Combinatorics. Berlin, Heidelberg: Springer Berlin Heidelberg. ISBN 978-3-642-24507-7

    TC0

    TC0

  • AofA—International Meeting on Combinatorial, Probabilistic, and Asymptotic Methods in the Analysis of Algorithms
  • Annual meeting in computer science

    on mathematical methods from analytic combinatorics and probability for the study of properties of algorithms and large combinatorial structures. In early

    AofA—International Meeting on Combinatorial, Probabilistic, and Asymptotic Methods in the Analysis of Algorithms

    AofA—International_Meeting_on_Combinatorial,_Probabilistic,_and_Asymptotic_Methods_in_the_Analysis_of_Algorithms

  • Inversion (discrete mathematics)
  • Pair of positions in a sequence where two elements are out of sorted order

    (1974). "6.4 Inversions of a permutation of [n]". Advanced combinatorics; the art of finite and infinite expansions. Dordrecht, Boston: D. Reidel Pub. Co

    Inversion (discrete mathematics)

    Inversion (discrete mathematics)

    Inversion_(discrete_mathematics)

  • Well-quasi-ordering
  • Mathematical concept for comparing objects

    (2012). "Lemma 6.13". Sparsity: Graphs, Structures, and Algorithms. Algorithms and Combinatorics. Vol. 28. Heidelberg: Springer. p. 137. doi:10.1007/978-3-642-27875-4

    Well-quasi-ordering

    Well-quasi-ordering

  • Nick Wormald
  • Australian mathematician

    mathematician and professor of mathematics at Monash University. He specializes in probabilistic combinatorics, graph theory, graph algorithms, Steiner trees

    Nick Wormald

    Nick_Wormald

  • Integer factorization
  • Decomposition of a number into a product

    "Recent Progress and Prospects for Integer Factorisation Algorithms", Computing and Combinatorics", 2000, pp. 3–22. download Manindra Agrawal, Neeraj Kayal

    Integer factorization

    Integer_factorization

  • Chordal graph
  • Graph where all long cycles have a chord

    Reed, Bruce A.; Sales, Cláudia L. (eds.), Recent Advances in Algorithms and Combinatorics, CMS Books in Mathematics, vol. 11, Springer-Verlag, pp. 65–84

    Chordal graph

    Chordal graph

    Chordal_graph

  • Factorial
  • Product of numbers from 1 to n

    Victor J. (2013). "Chapter 4: Jewish combinatorics". In Wilson, Robin; Watkins, John J. (eds.). Combinatorics: Ancient & Modern. Oxford University Press

    Factorial

    Factorial

  • Time complexity
  • Estimate of time taken for running an algorithm

    related to property testing and statistics. Other settings where algorithms can run in sublinear time include: Parallel algorithms that have linear or greater

    Time complexity

    Time complexity

    Time_complexity

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  • Rand
  • Surname or Lastname

    English

    Rand

    English : from the Middle English personal name Rand(e), a short form of any of the various Germanic compound personal names with the first element rand ‘(shield) rim’, as for example Randolph.English : topographic name for someone who lived on the margin of a settlement or on the bank of a river (from Old English rand ‘rim’, used in a topographical sense), or a habitational name from a place named with this word, as for example Rand in Lincolnshire and Rand Grange in North Yorkshire.German : from a short form of any of the various compound names formed with rand- ‘rim’. Compare 1.German : topographic name from Middle High German, Middle Low German rand, rant ‘edge’, ‘rim’.

    Rand

  • ANDI
  • Female

    English

    ANDI

    Pet form of English Andrea, ANDI means "man; warrior."

    ANDI

  • Land
  • Surname or Lastname

    English and German

    Land

    English and German : topographic name from Old English land, Middle High German lant, ‘land’, ‘territory’. This had more specialized senses in the Middle Ages, being used to denote the countryside as opposed to a town or an estate.English : topographic name for someone who lived in a forest glade, Middle English, Old French la(u)nde, or a habitational name from Launde in Leicestershire or Laund in West Yorkshire, which are named with this word.Norwegian : habitational name from any of three farmsteads so named, from Old Norse land ‘land’, ‘territory’ (see 1 above).

    Land

  • DAND
  • Male

    Scottish

    DAND

    Pet form of Scottish Aindrea, DAND means "man; warrior."

    DAND

  • Anu
  • Boy/Male

    Hindu

    Anu

    An atom

    Anu

  • ANE
  • Female

    Danish

    ANE

    , compassion, grace; and, prayers.

    ANE

  • Band
  • Surname or Lastname

    English, German, and Jewish (Ashkenazic)

    Band

    English, German, and Jewish (Ashkenazic) : metonymic occupational name for a maker of hoops and bands, etc., from Middle English band, bond, Middle High German, Middle Low German bant, German Band denoting something used for tying or binding: ‘hoop’, ‘metal band’, ‘fetter’, ‘shackle’.Old spelling of the Dutch cognates Bant, Bande, from Middle Dutch bant ‘band’.

    Band

  • ANA
  • Female

    Bulgarian

    ANA

    (Ана), compassion, grace; and, prayers.

    ANA

  • Amd
  • Boy/Male

    German

    Amd

    Power of an eagle.

    Amd

  • ANU
  • Female

    Finnish

    ANU

    Estonian and Finnish pet form of Greek Hanna, ANU means "favor; grace."

    ANU

  • ANDY
  • Male

    English

    ANDY

    Unisex pet form of English Andrew and Andrea, ANDY means "man; warrior."

    ANDY

  • ANA
  • Female

    Arthurian

    ANA

    , ("mother"); a war goddess, mother of the gods, and mother of Gawain.

    ANA

  • ANE
  • Female

    Norwegian

    ANE

    Danish and Norwegian form of Greek Hanna, ANE means "favor; grace."

    ANE

  • Land
  • Boy/Male

    German, Spanish

    Land

    Famous Land

    Land

  • Sand
  • Surname or Lastname

    English, Scottish, Danish, Norwegian, Swedish, German, and Jewish (Ashkenazic)

    Sand

    English, Scottish, Danish, Norwegian, Swedish, German, and Jewish (Ashkenazic) : topographic name for someone who lived on patch of sandy soil, from the vocabulary word sand. As a Swedish or Jewish name it was often purely ornamental.Dutch and Belgian : reduced form of Van den Sand(e), Van den Zande, a habitational name from places such as Zande in West Flanders or various minor places named with zand ‘sand’.English and Scottish : from a short form of Alexander.French : from a Germanic personal name, Sando.

    Sand

  • ANN
  • Female

    English

    ANN

    Variant spelling of French Anne, ANN means "favor; grace."

    ANN

  • Ank
  • Girl/Female

    Australian, Dutch

    Ank

    Loving and Musical

    Ank

  • ANA
  • Female

    Serbian

    ANA

    (Bulgarian and Serbian Ана): Bulgarian and Serbian form of Greek Hanna, ANA means "favor; grace."

    ANA

  • ANA
  • Female

    Spanish

    ANA

    Portuguese and Spanish form of Latin Anna, ANA means "favor; grace." Compare with another form of Ana.

    ANA

  • Hand
  • Surname or Lastname

    English and German

    Hand

    English and German : nickname for someone with a deformed hand or who had lost one hand, from Middle English hand, Middle High German hant, found in such appellations as Liebhard mit der Hand (Augsburg 1383).Jewish (Ashkenazic) : nickname from German Hand ‘hand’ (see 1).Irish : Anglicized form of Gaelic Ó Flaithimh (see Guthrie), resulting from an erroneous association of the Gaelic name with the Gaelic word lámh ‘hand’. It is used as an English equivalent for several other names of Gaelic origin too, e.g. Claffey, Glavin, and McClave.Dutch : from a variant of hont ‘dog’, ‘hound’, either a derogatory nickname, or a habitational name for someone living at a house distinguished by the sign of a dog.

    Hand

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ALGORITHMS AND-COMBINATORICS

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ALGORITHMS AND-COMBINATORICS

  • Algorism
  • n.

    Alt. of Algorithm

  • Hand
  • n.

    An agent; a servant, or laborer; a workman, trained or competent for special service or duty; a performer more or less skillful; as, a deck hand; a farm hand; an old hand at speaking.

  • And
  • conj.

    If; though. See An, conj.

  • And
  • conj.

    It is sometimes, in old songs, a mere expletive.

  • Algorithm
  • n.

    The art of calculating by nine figures and zero.

  • End
  • n.

    The object aimed at in any effort considered as the close and effect of exertion; ppurpose; intention; aim; as, to labor for private or public ends.

  • Ano
  • n.

    A black bird of tropical America, the West Indies and Florida (Crotophaga ani), allied to the cuckoos, and remarkable for communistic nesting.

  • Aid
  • v. t.

    An aid-de-camp, so called by abbreviation; as, a general's aid.

  • Land
  • v. t.

    To catch and bring to shore; to capture; as, to land a fish.

  • End
  • v. t.

    To bring to an end or conclusion; to finish; to close; to terminate; as, to end a speech.

  • Galenical
  • an.

    Relating to Galen or to his principles and method of treating diseases.

  • Any
  • adv.

    To any extent; in any degree; at all.

  • Land
  • n.

    Any ground, soil, or earth whatsoever, as meadows, pastures, woods, etc., and everything annexed to it, whether by nature, as trees, water, etc., or by the hand of man, as buildings, fences, etc.; real estate.

  • Sand
  • n.

    Tracts of land consisting of sand, like the deserts of Arabia and Africa; also, extensive tracts of sand exposed by the ebb of the tide.

  • Ana
  • adv.

    Of each; an equal quantity; as, wine and honey, ana (or, contracted, aa), / ij., that is, of wine and honey, each, two ounces.

  • Algorithm
  • n.

    The art of calculating with any species of notation; as, the algorithms of fractions, proportions, surds, etc.

  • And
  • conj.

    A particle which expresses the relation of connection or addition. It is used to conjoin a word with a word, a clause with a clause, or a sentence with a sentence.

  • And
  • conj.

    In order to; -- used instead of the infinitival to, especially after try, come, go.

  • In and an
  • a. & adv.

    Applied to breeding from a male and female of the same parentage. See under Breeding.

  • Land
  • v. t.

    To set down after conveying; to cause to fall, alight, or reach; to bring to the end of a course; as, he landed the quoit near the stake; to be thrown from a horse and landed in the mud; to land one in difficulties or mistakes.