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Set of edges without common vertices
In the mathematical discipline of graph theory, a matching or independent edge set in an undirected graph is a set of edges without common vertices. In
Matching_(graph_theory)
Problem of finding similarity between graphs
Graph matching is the problem of finding a similarity between graphs. Graphs are commonly used to encode structural information in many fields, including
Graph_matching
Unsolved problem in computational complexity theory
known as the exact graph matching problem. In November 2015, László Babai announced a quasi-polynomial time algorithm for all graphs, that is, one with
Graph_isomorphism_problem
Matching which covers every node of the graph
In graph theory, a perfect matching in a graph is a matching that covers every vertex of the graph. More formally, given a graph G with edges E and vertices
Perfect_matching
Graph theory problem: find a matching containing the most edges
In graph theory, a maximum-cardinality matching is a special kind of subgraph useful in many computational contexts. Given a graph G, a matching is a
Maximum-cardinality_matching
Graph divided into two independent sets
bipartite graphs are the crown graphs, formed from complete bipartite graphs by removing the edges of a perfect matching. Hypercube graphs, partial cubes
Bipartite_graph
Graph theory problem
Maximum-weight matching is an optimization problem in graph theory in which the goal is to find a matching of maximum possible total weight in an edge-weighted
Maximum-weight_matching
graph theory, an induced matching or strong matching is a subset of the edges of an undirected graph that do not share any vertices (it is a matching)
Induced_matching
Set of hyperedges where every pair is disjoint
In graph theory, a matching in a hypergraph is a set of hyperedges, in which every two hyperedges are disjoint. It is an extension of the notion of matching
Matching_in_hypergraphs
On bipartite matching and vertex cover
mathematical area of graph theory, Kőnig's theorem, proved by Dénes Kőnig (1931), describes an equivalence between the maximum matching problem and the minimum
Kőnig's theorem (graph theory)
Kőnig's_theorem_(graph_theory)
Algorithm for finding max graph matchings
In graph theory, the blossom algorithm is an algorithm for constructing maximum matchings on graphs. The algorithm was developed by Jack Edmonds in 1961
Blossom_algorithm
the line graph instead of the given graph. For instance, α(G) is the independence number of a graph; α′(G) is the matching number of the graph, which equals
Glossary_of_graph_theory
Graphs formed by a hypercube's edges and vertices
complete graph, and may be decomposed into two copies of Q n − 1 {\displaystyle Q_{n-1}} connected to each other by a perfect matching. Hypercube graphs should
Hypercube_graph
Measure of similarity between two graphs
application of graph edit distance is in inexact graph matching, such as error-tolerant pattern recognition in machine learning. The graph edit distance
Graph_edit_distance
Result in combinatorics and graph theory
number of sets in the subset. The graph theoretic formulation answers whether a finite bipartite graph has a perfect matching—that is, a way to match each
Hall's_marriage_theorem
Shape representing matchings in a graph
In graph theory, the matching polytope of a given graph is a geometric object representing the possible matchings in the graph. It is a convex polytope
Matching_polytope
Partition of a graph into spanning subgraphs
graph into disjoint k-factors. A graph G is said to be k-factorable if it admits a k-factorization. In particular, a 1-factor is a perfect matching,
Graph_factorization
Creating a new graph from an existing graph
rewrite rule is applied to the host graph by searching for an occurrence of the pattern graph (pattern matching, thus solving the subgraph isomorphism
Graph_rewriting
Largest independent set of paired elements
(1976) as a common generalization of graph matching and matroid intersection. It is also known as polymatroid matching, or the matchoid problem. Matroid
Matroid_parity_problem
Graph polynomial generating numbers of matchings
graph theory and combinatorics, a matching polynomial (sometimes called an acyclic polynomial) is a generating function of the numbers of matchings of
Matching_polynomial
Characterization of graphs with perfect matchings
discipline of graph theory, the Tutte theorem, named after William Thomas Tutte, is a characterization of finite undirected graphs with perfect matchings. It is
Tutte's theorem on perfect matchings
Tutte's_theorem_on_perfect_matchings
Problem of grouping into triples
mathematical discipline of graph theory, a 3-dimensional matching is a generalization of bipartite matching (also known as 2-dimensional matching) to 3-partite hypergraphs
3-dimensional_matching
Functional programming construct
Pattern language — metaphoric, drawn from architecture Graph matching Two-dimensional pattern matching The Mathematica Book, chapter Section 2.3: Patterns
Pattern_matching
Topics referred to by the same term
Look up matching in Wiktionary, the free dictionary. Matching may refer to: Matching, Essex, England Matching Green Matching Tye Matching (graph theory)
Matching
Topics referred to by the same term
matchings. Matching (graph theory) - a mathematical theory studying the properties and computation of matchings in networks (graphs). This disambiguation
Matching_theory
Database using graph structures for queries
A graph database (GDB) is a database that uses graph structures for semantic queries with nodes, edges, and properties to represent and store data. A key
Graph_database
Graph of n vertices with a perfect matching for every subgraph of n-1 vertices
results in a graph with a perfect matching, a way of grouping the remaining vertices into adjacent pairs. A matching of all but one vertex of a graph is called
Factor-critical_graph
Type of graph in mathematics and physics
functions on the edges of the graph and specifying matching conditions at the vertices. The trivial example of matching conditions that make the operator
Quantum_graph
Query language for property graphs
property graph may have a set of labels and a set of properties that are associated with the graph as a whole. GQL queries operate by pattern matching over
Graph_Query_Language
Graph representing edges of another graph
In the mathematical discipline of graph theory, the line graph of an undirected graph G is another graph L(G) that represents the adjacencies between edges
Line_graph
Bipartite graph where each node of 1st set is linked to all nodes of 2nd set
class of sparse graphs defined by avoidance of complete bipartite subgraphs Crown graph, a graph formed by removing a perfect matching from a complete
Complete_bipartite_graph
Field of market economics
bipartite graph. The typical example is men and women, as in the campus Marriage Pact. Hospitals-residends problem - a one-to-many matching between agents
Matching_markets
In graph theory, a fractional matching is a generalization of a matching in which, intuitively, each vertex may be broken into fractions that are matched
Fractional_matching
Algorithm for maximum cardinality matching
algorithm) is an algorithm that takes a bipartite graph as input and produces a maximum-cardinality matching as output — a set of as many edges as possible
Hopcroft–Karp_algorithm
Technique in computer science
Semantic matching is a technique used in computer science to identify information that is semantically related. Given any two graph-like structures, e
Semantic_matching
Directed graph with no directed cycles
In mathematics, particularly graph theory, and computer science, a directed acyclic graph (DAG) is a directed graph with no directed cycles. That is, it
Directed_acyclic_graph
Pairing where no unchosen pair prefers each other over their choice
Envy-free matching – a relaxation of stable matching for many-to-one matching problems Rainbow matching for edge colored graphs Stable matching polytope
Stable_matching_problem
Robustness of graph perfect matchings
In graph theory, a branch of mathematics, the matching preclusion number of a graph G {\displaystyle G} , denoted m p ( G ) {\displaystyle \mathrm {mp}
Matching_preclusion
Graph with tight clique-coloring relation
theorem on matchings, and the Erdős–Szekeres theorem on monotonic sequences, can be expressed in terms of the perfection of certain associated graphs. The perfect
Perfect_graph
Combinatorial optimization problem
describing the problem using graph theory: The assignment problem consists of finding, in a weighted bipartite graph, a matching of maximum size, in which
Assignment_problem
Edge-colored graph matching where all edges have distinct colors
of graph theory, a rainbow matching in an edge-colored graph is a matching in which all the edges have distinct colors. Given an edge-colored graph G =
Rainbow_matching
Graph without four-vertex star subgraphs
order have perfect matchings, the discovery of polynomial time algorithms for finding maximum independent sets in claw-free graphs, and the characterization
Claw-free_graph
Undirected graph with 14 vertices
distance-transitive graph (see the Foster census) and therefore distance regular. There are 24 perfect matchings in the Heawood graph; for each matching, the set
Heawood_graph
Unrelated vertices in graphs
In graph theory, an independent set, stable set, coclique or anticlique is a set of vertices in a graph, no two of which are adjacent. That is, it is a
Independent set (graph theory)
Independent_set_(graph_theory)
Graph generated by a random process
In mathematics, random graph is the general term to refer to probability distributions over graphs. Random graphs may be described simply by a probability
Random_graph
Graph data structure
preserve the e-graph invariants. The last operation, e-matching, is described below. An e-graph can also be formulated as a bipartite graph G = ( N ⊎ i d
E-graph
Branch of the mathematical field of graph theory
topological graph theory is a branch of graph theory. It studies the embedding of graphs in surfaces, spatial embeddings of graphs, and graphs as topological
Topological_graph_theory
Greek and American computer scientist
machine learning and data mining to graph-theoretic data, including the use of graph neural networks and graph matching, and applications to anomaly detection
Danai_Koutra
Cubic graph with 10 vertices and 15 edges
bridgeless graph has a cycle-continuous mapping to the Petersen graph. More unsolved problems in mathematics In the mathematical field of graph theory, the
Petersen_graph
On chains and antichains in partial orders
combinatorics, Dilworth's theorem is equivalent to Kőnig's theorem on bipartite graph matching and several other related theorems including Hall's marriage theorem
Dilworth's_theorem
In graph theory, Berge's theorem states that a matching M in a graph G is maximum (contains the largest possible number of edges) if and only if there
Berge's_theorem
Graph matching with max number of high-priority vertices
In graph theory, a priority matching (also called: maximum priority matching) is a matching that maximizes the number of high-priority vertices that participate
Priority_matching
Pattern recognition technique
Elastic matching is one of the pattern recognition techniques in computer science. Elastic matching (EM) is also known as deformable template, flexible
Elastic_matching
Area of discrete mathematics
computer science, graph theory is the study of graphs, which are mathematical structures used to model pairwise relations between objects. A graph in this context
Graph_theory
Mathematical graph theorem
Petersen's Theorem. Every cubic, bridgeless graph contains a perfect matching. In other words, if a graph has exactly three edges at each vertex, and
Petersen's_theorem
Partition of the vertices of a graph
subsets which provides information on the structure of maximum matchings in the graph. Tibor Gallai and Jack Edmonds independently discovered it and proved
Gallai–Edmonds_decomposition
Number of matchings in a graph
of a graph is the total number of matchings in it. The Hosoya index is always at least one, because the empty set of edges is counted as a matching for
Hosoya_index
British computer scientist (1956–2024)
performed using data in the form of graphs, trees and strings. He was best known for his work on graph matching and spectral graph theory. He also worked on physics
Edwin_Hancock
Characterization of the size of a maximum matching in a graph
mathematical discipline of graph theory the Tutte–Berge formula is a characterization of the size of a maximum matching in a graph. It is a generalization
Tutte–Berge_formula
Sparse graph with strong connectivity
In graph theory, an expander graph is a sparse graph that has strong connectivity properties, quantified using vertex, edge or spectral expansion. Expander
Expander_graph
Searching for patterns in text
Clifford. Sequence alignment Graph matching Pattern matching Compressed pattern matching Matching wildcards Approximate string matching Full-text search Two-dimensional
String-searching_algorithm
Generalizations in graph theory
condition guaranteeing that a bipartite graph (X + Y, E) admits a perfect matching, or - more generally - a matching that saturates all vertices of Y. The
Hall-type theorems for hypergraphs
Hall-type_theorems_for_hypergraphs
Graph with all vertices of degree 3
of graph theory, a cubic graph is a graph in which all vertices have degree three. In other words, a cubic graph is a 3-regular graph. Cubic graphs are
Cubic_graph
Methodic assignment of colors to elements of a graph
In graph theory, graph coloring is a methodic assignment of labels traditionally called "colors" to elements of a graph. The assignment is subject to certain
Graph_coloring
Subset of a graph's vertices, including at least one endpoint of every edge
in cubic graphs and even in planar graphs of degree at most 3. For bipartite graphs, the equivalence between vertex cover and maximum matching described
Vertex_cover
Subset of a graph's edges
In graph theory, an edge cover of a graph is a set of edges such that every vertex of the graph is an endpoint of at least one edge of the set. In computer
Edge_cover
Problem in theoretical computer science
electronic circuits. Subgraph matching is also a substep in graph rewriting (the most runtime-intensive), and thus offered by graph rewrite tools. The problem
Subgraph_isomorphism_problem
Assignment of colors to edges of a graph
the multigraph case. A matching in a graph G is a set of edges, no two of which are adjacent; a perfect matching is a matching that includes edges touching
Edge_coloring
Graph in which every two vertices are adjacent
In the mathematical field of graph theory, a complete graph is a simple undirected graph in which every pair of distinct vertices is connected by a unique
Complete_graph
Index of articles associated with the same name
corresponding to certain closed walks in a graph. The Martin polynomial, used by Pierre Martin to study Euler tours The matching polynomials, several different polynomials
Graph_polynomial
Abstract data type in computer science
science, a graph is an abstract data type that is meant to implement the undirected graph and directed graph concepts from the field of graph theory within
Graph_(abstract_data_type)
Number of edges touching a vertex in a graph
In graph theory, the degree (or valency) of a vertex of a graph is the number of edges that are incident to the vertex; in a multigraph, a loop contributes
Degree_(graph_theory)
Statistical matching technique
statistical analysis of observational data, propensity score matching (PSM) is a statistical matching technique that attempts to estimate the effect of a treatment
Propensity_score_matching
Technology capable of matching a face from an image against a database of faces
his research team at the University of Bochum developed Elastic Bunch Graph Matching in the mid-1990s to extract a face out of an image using skin segmentation
Facial_recognition_system
Form of pattern recognition
as in face recognition. A graph matching algorithm will yield the optimal correspondence. Grammar induction String matching Hopcroft–Karp algorithm Structural
Syntactic_pattern_recognition
Directed graph isomorphic to its own transpose graph
finding matchings in graphs, in testing whether a still life pattern in Conway's Game of Life may be partitioned into simpler components, in graph drawing
Skew-symmetric_graph
Planar, undirected graph with 2n vertices and 3n-2 edges
mathematical field of graph theory, the ladder graph Ln is a planar, undirected graph with 2n vertices and 3n − 2 edges. The ladder graph can be obtained as
Ladder_graph
Data query language developed by Facebook
the GraphQL server will return data matching the shape defined by the mutation. { "data": { "createUser": { "name": "Han Solo", "age": 42 } } } GraphQL
GraphQL
Bipartite graph partition with special property
perfect matching of the graph. It is named after A. L. Dulmage and Nathan Mendelsohn, who published it in 1958. A generalization to any graph is the Edmonds–Gallai
Dulmage–Mendelsohn decomposition
Dulmage–Mendelsohn_decomposition
Polytope
polytope of doubly stochastic matrices, or the perfect matching polytope of the complete bipartite graph K n , n {\displaystyle K_{n,n}} . The Birkhoff polytope
Birkhoff_polytope
number of edges in a balanced bipartite graph whose edges can be partitioned into a linear number of induced matchings, or the maximum number of triples one
Ruzsa–Szemerédi_problem
Set in graph theory
subgraph has a perfect matching is necessarily a total dominating set, the following chain of inequalities holds for any graph G {\displaystyle G} without
Paired_dominating_set
American computer scientist
environments. Other areas of interest include database tuning and tree and graph matching. After graduating from Yale in 1977, he worked for IBM designing circuits
Dennis_Shasha
Mathematical tree of cycles
property of remaining connected after the removal of a matching. The largest triangular cactus in any graph may be found in polynomial time using an algorithm
Cactus_graph
String-searching algorithm
Alfred V. Aho and Margaret J. Corasick in 1975. It is a kind of dictionary-matching algorithm that locates elements of a finite set of strings (the "dictionary")
Aho–Corasick_algorithm
Item of metadata attached to a document
authors list (link) "Semantic Web Challenge on Tabular Data to Knowledge Graph Matching". www.cs.ox.ac.uk. Retrieved 2022-09-30. "JDK 5.0 Developer's Guide:
Annotation
Maximal subgraph whose vertices can reach each other
perfect matchings characterizing finite graphs that have perfect matchings and the associated Tutte–Berge formula for the size of a maximum matching, and
Component_(graph_theory)
Area of research in mathematics (graph theory)
In graph theory, perfect matching in high-degree hypergraphs is a research avenue trying to find sufficient conditions for existence of a perfect matching
Perfect matching in high-degree hypergraphs
Perfect_matching_in_high-degree_hypergraphs
Matrix with exactly one 1 per row and column
George J. (November 2008). "A dynamical systems approach to weighted graph matching". Automatica. 44 (11): 2817–2824. CiteSeerX 10.1.1.128.6870. doi:10
Permutation_matrix
Refinement of perfect matching theorems
Deficiency is a concept in graph theory that is used to refine various theorems related to perfect matching in graphs, such as Hall's marriage theorem
Deficiency_(graph_theory)
Bijection between the vertex set of two graphs
In graph theory, an isomorphism of graphs G and H is a bijection between the vertex sets of G and H f : V ( G ) → V ( H ) {\displaystyle f\colon V(G)\to
Graph_isomorphism
Graph with all vertices of degree 4
mathematical field of graph theory, a quartic graph is a graph where all vertices have degree 4. In other words, a quartic graph is a 4-regular graph. Several well-known
Quartic_graph
Fewest graph edges whose removal breaks all cycles
In graph theory, a branch of mathematics, the cyclomatic number, circuit rank, cycle rank, corank or nullity of an undirected graph is the minimum number
Cyclomatic_number
Approximation for the travelling salesman problem
in any graph is even (by the handshaking lemma), there is an even number of such vertices. The algorithm finds a minimum-weight perfect matching M among
Christofides_algorithm
Directed graph where edges have a capacity
design, airline scheduling, image segmentation, and the matching problem. A network is a directed graph G = (V, E) with a non-negative capacity function c
Flow_network
Problem in computer science
Maximum Independent Set in claw-free graphs can be seen as a generalization of Maximum k-Set Packing. Graph matching is a special case of set packing in
Set_packing
link matching is a graph-based system for image recognition. It uses wavelet transformations to encode incoming image data. "Dynamic Link Matching"[permanent
Dynamic_link_matching
Graph coloring where graph elements are assigned sets of colors
in a branch of graph theory known as fractional graph theory. It is a generalization of ordinary graph coloring. In a traditional graph coloring, each
Fractional_coloring
Matching of coordinates to physical locations
edges in an existing street graph (network), usually in a sorted list representing the travel of a user or vehicle. Matching observations to a logical model
Map_matching
Polyhedral graph with 26 vertices and 39 edges
In the mathematical field of graph theory, the 26-fullerene graph is a polyhedral graph with V = 26 vertices and E = 39 edges. Its planar embedding has
26-fullerene_graph
GRAPH MATCHING
GRAPH MATCHING
Girl/Female
Tamil
Kaslunira | கஸà¯à®²à¯à®‚நீரா
Grape, Belonging to kashmir
Kaslunira | கஸà¯à®²à¯à®‚நீரா
Boy/Male
Hindu, Indian
Efficient; Conqueror of Miseries; Bond in Affection; Capable; Mysterious; Different than Others; Smart; Most Mysterious Vastu Grah 'Rahu'; Son of Lord Buddha; Son of Goddess Durga; Truth Follower; Best of All
Boy/Male
Hindu, Indian, Punjabi, Sikh
From Kashmir; Grape
Girl/Female
Afghan, Arabic, Hebrew, Indian, Muslim, Parsi, Sanskrit
Grape Presser; World; Song; Universe
Boy/Male
Muslim
Grape
Boy/Male
Biblical
A grape, a knot.
Girl/Female
Indian
Grape vine
Boy/Male
African, Arabic
Grape Vines
Boy/Male
Indian
Grape
Biblical
a grape; a knot
Girl/Female
Hindu
Grape, Belonging to kashmir
Girl/Female
Muslim
Grape like
Boy/Male
Arabic, Modern
Grape
Boy/Male
Biblical
A grape, a knot.
Boy/Male
Afghan, Hebrew, Indian, Parsi, Sanskrit
Grape Presser; World; Song
Girl/Female
Arabic, Assamese, Hindu, Indian, Kannada, Malayalam, Marathi, Muslim, Telugu
Grape
Boy/Male
Hebrew, Hindu, Indian, Marathi
Grape Cluster
Female
Thai/Siamese
Thai name A-GUN means "grape."
Girl/Female
Muslim
Grape vine
Girl/Female
Indian
Grape like
GRAPH MATCHING
GRAPH MATCHING
Biblical
very secret
Girl/Female
Muslim/Islamic
Worthy deserving, capable
Surname or Lastname
English
English : occupational name for a barber, Anglo-Norman French barber, Old French barbier, from Late Latin barbarius, a derivative of barba ‘beard’. In the Middle Ages barbers not only cut hair and shaved beards, but also practised surgery and pulled teeth.Jewish (Ashkenazic) : occupational name from German Barbier ‘barber’.Catalan : occupational name for a barber, barber (see 1).Americanized form of any of numerous cognates of 1 in different languages, for example Spanish Barbero, Portuguese Barbeiro, French Barbier, Italian Barbieri.
Male
Hungarian
Hungarian form of Greek Stephanos, ISTVÃN means "crown."
Boy/Male
Hindu, Indian, Tamil
Bright; Youth; God Name
Boy/Male
Indian
Name of one of the narrators of Hadith
Girl/Female
Tamil
Pakshalika | பகà¯à®·à®¾à®²à®¿à®•ா
On the right path
Boy/Male
Tamil
Complete satisfaction
Girl/Female
Tamil
Boy/Male
Indian, Punjabi, Sikh
Steadfast in Naam
GRAPH MATCHING
GRAPH MATCHING
GRAPH MATCHING
GRAPH MATCHING
GRAPH MATCHING
a.
Composed of, or resembling, grapes.
n.
The Hartford grape, a variety of grape first raised at Hartford, Connecticut, from the Northern fox grape. Its large dark-colored berries ripen earlier than those of most other kinds.
a.
Resembling a grape.
n.
A mangy tumor on the leg of a horse.
n.
A well-known edible berry growing in pendent clusters or bunches on the grapevine. The berries are smooth-skinned, have a juicy pulp, and are cultivated in great quantities for table use and for making wine and raisins.
n.
A seed of the grape.
n.
A grape of many varieties and colors.
n.
A grape, or a bunch of grapes.
n.
The plant which bears this fruit; the grapevine.
n.
The cultivation of the vine; grape growing.
n.
Grapeshot.
n.
A grape dried in the sun; a raisin.
n.
A variety of shaddock, called also grape fruit.
a.
Full of small kernels like a grape.
n.
See Grasshopper, and Frog hopper, Grape hopper, Leaf hopper, Tree hopper, under Frog, Grape, Leaf, and Tree.
n.
A plant of the genus Muscari; grape hyacinth.
n.
A white grape, esteemed for the table.
n.
A sort of grape.