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mathematics, a universal graph is an infinite graph that contains every finite (or at-most-countable) graph as an induced subgraph. A universal graph of this
Universal_graph
Infinite graph containing all countable graphs
In the mathematical field of graph theory, the Rado graph, Erdős–Rényi graph, or random graph is a countably infinite graph that can be constructed (with
Rado_graph
Class of artificial neural networks
Graph neural networks (GNNs) are artificial neural networks designed for tasks whose inputs are graphs. Because graphs usually do not have a canonical
Graph_neural_network
Cycle graph plus universal vertex
In graph theory, a wheel graph is a graph formed by connecting a single universal vertex to all vertices of a cycle. A wheel graph with n vertices can
Wheel_graph
Appendix:Glossary of graph theory in Wiktionary, the free dictionary. This is a glossary of graph theory. Graph theory is the study of graphs, systems of nodes
Glossary_of_graph_theory
Graph that can be embedded in the plane
In graph theory, a planar graph is a graph that can be embedded in the plane, i.e., it can be drawn on the plane in such a way that its edges intersect
Planar_graph
Graph family made by joining complete graphs at a universal node
copies of the complete graph Kk at a shared universal vertex. That is, it is a 1-clique-sum of these complete graphs. It has n(k − 1) + 1 vertices and nk(k
Windmill_graph
Vertex adjacent to all others in a graph
In graph theory, a universal vertex is a vertex of an undirected graph that is adjacent to all other vertices of the graph. It may also be called a dominating
Universal_vertex
Algorithmically defined graph
In the study of graph algorithms, an implicit graph representation (or more simply implicit graph) is a graph whose vertices or edges are not represented
Implicit_graph
mathematics, especially in the fields of universal algebra and graph theory, a graph algebra is a way of giving a directed graph an algebraic structure. It was
Graph_algebra
Computer science algorithm
computer science, graph traversal (also known as graph search) refers to the process of visiting (checking and/or updating) each vertex in a graph. Such traversals
Graph_traversal
Infinite graph without small cliques
first of these graphs, G3, is also called the homogeneous triangle-free graph or the universal triangle-free graph. To construct these graphs, Henson orders
Henson_graph
Property of artificial neural networks
activation function are used. Universal function approximation on graphs (or rather on graph isomorphism classes) by popular graph convolutional neural networks
Universal approximation theorem
Universal_approximation_theorem
Graph related to another graph by a covering map
In the mathematical discipline of graph theory, a graph C is a covering graph of another graph G if there is a covering map from the vertex set of C to
Covering_graph
decidable? The universality problem for C-free graphs: For which finite sets C of graphs does the class of C-free countable graphs have a universal member under
List of unsolved problems in mathematics
List_of_unsolved_problems_in_mathematics
Graph of triangles with a shared vertex
friendship graph Fn can be constructed by joining n copies of the cycle graph C3 with a common vertex, which becomes a universal vertex for the graph. By construction
Friendship_graph
Primary time standard globally used to regulate clocks and time
Coordinated Universal Time (UTC) is the primary time standard globally used to regulate clocks and time. It establishes a reference for the current time
Coordinated_Universal_Time
Fundamental unit of which graphs are formed
specifically in graph theory, a vertex (plural vertices) or node is the fundamental unit of which graphs are formed: an undirected graph consists of a set
Vertex_(graph_theory)
Type of graph related to pursuit–evasion
order. They include the chordal graphs, and the graphs that contain a universal vertex. Cop-win graphs can be defined by a pursuit–evasion game in which
Cop-win_graph
Binary operation in graph theory
In graph theory, the strong product is a way of combining two graphs to make a larger graph. Two vertices are adjacent in the strong product when they
Strong_product_of_graphs
Any planar graph can be subdivided by removing a few vertices
In graph theory, the planar separator theorem is a form of isoperimetric inequality for planar graphs, that states that any planar graph can be split
Planar_separator_theorem
British mathematician (born 1947)
ISBN 978-0-521-63550-9. Truss, J. K. (September 1985). "The group of the countable universal graph". Mathematical Proceedings of the Cambridge Philosophical Society.
John_Truss
In mathematics, a fibration of graphs, or graph fibration, is a homomorphism of directed graphs that satisfies a unique lifting property analogous to that
Fibrations_of_graphs
Graph defined from a mathematical group
In mathematics, a Cayley graph, also known as a Cayley color graph, Cayley diagram, group diagram, or color group, is a graph that encodes the abstract
Cayley_graph
Points usable to draw any planar graph
mathematics Do planar graphs have universal point sets of subquadratic size? More unsolved problems in mathematics In graph drawing, a universal point set of order
Universal_point_set
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
Type of graph in mathematics
specifically in graph theory, a polytree (also called directed tree, oriented tree or singly connected network) is a directed acyclic graph whose underlying
Polytree
Directed graph whose edges are labelled invertibly by elements of a group
graph, but it is generally used in topological graph theory as a concise way to specify another graph called the derived graph of the voltage graph.
Voltage_graph
Unsolved problem in graph theory
Sumner's conjecture (also called Sumner's universal tournament conjecture) is a conjecture in extremal graph theory on oriented trees in tournaments. It
Sumner's_conjecture
Graph with same nodes as but complementary connections to another
In the mathematical field of graph theory, the complement or inverse of a graph G is a graph H on the same vertices such that two distinct vertices are
Complement_graph
German mathematician
completed in 1986. His dissertation, Simplicial Decompositions and Universal Graphs, was supervised by Béla Bollobás. He continued at Cambridge as a fellow
Reinhard_Diestel
Spectral graph theory concept
spectral graph theory, a Ramanujan graph is a regular graph whose spectral gap is almost as large as possible (see extremal graph theory). Such graphs are
Ramanujan_graph
Type of diagrammatic notation for propositional logic
An existential graph is a type of diagrammatic or visual notation for logical expressions, created by Charles Sanders Peirce, who wrote on graphical logic
Existential_graph
Graph with tight clique-coloring relation
In graph theory, a perfect graph is a graph in which the chromatic number equals the size of the maximum clique, both in the graph itself and in every
Perfect_graph
Formalism for knowledge representation
A conceptual graph (CG) is a formalism for knowledge representation. In the first published paper on CGs, John F. Sowa used them to represent the conceptual
Conceptual_graph
Singaporean Materials Scientist
first universal machine learning interatomic potential (MLIP) with coverage of 89 elements of the entire periodic table. This Materials 3-body Graph Network
Shyue_Ping_Ong
In mathematics, a graph C*-algebra is a universal C*-algebra constructed from a directed graph. Graph C*-algebras are direct generalizations of the Cuntz
Graph_C*-algebra
Indian-American computer scientist
efficient algorithms for pattern matching, data structure simulations, universal graphs, DNA sequence assembly, derandomization and investigations of immune
S._Rao_Kosaraju
Approximate nearest neighbor search algorithm
datasets. HNSW stores vectors in a graph. Each vector is a node, and links connect it to some nearby vectors. The graph has several layers: upper layers
Hierarchical navigable small world
Hierarchical_navigable_small_world
Assigning directions to the edges of an undirected graph
In graph theory, an orientation of an undirected graph is an assignment of a direction to each edge, turning the initial graph into a directed graph. A
Orientation_(graph_theory)
Graph formed by adding isolated or universal vertices
In graph theory, a threshold graph is a graph that can be constructed from a one-vertex graph by repeated applications of the following two operations:
Threshold_graph
Measurement scale based on orders of magnitude
25). Exponential growth curves are often depicted on a logarithmic scale graph. The markings on slide rules are arranged in a log scale for multiplying
Logarithmic_scale
Graphing calculator software bundled with macOS
Grapher is a computer program bundled with macOS since version 10.4 that is able to create 2D and 3D graphs from simple and complex equations. It includes
Grapher
Database class for storage and retrieval of modeled data
databases use a single data structure—such as key–value pairs, wide columns, graphs, or documents—to hold information. Since this non-relational design does
NoSQL
American mathematician
mathematician known for his research in graph theory. He formulated Sumner's conjecture that tournaments are universal graphs for polytrees in 1971, and showed
David_Sumner
Mathematics concept
covering map of Cayley graphs φ ∗ : Γ ( F ) → Γ ( G ) {\displaystyle \varphi ^{*}:\Gamma (F)\to \Gamma (G)} , in fact a universal covering. Hence, the fundamental
Free_group
Algorithm for finding shortest paths
an algorithm for finding the shortest paths between nodes in a weighted graph, which may represent, for example, a road network. It was conceived by computer
Dijkstra's_algorithm
This following is a list of lemmas (or, "lemmata", i.e. minor theorems, or sometimes intermediate technical results factored out of proofs). See also list
List_of_lemmas
Interatomic potentials constructed by machine learning programs
scale model size. Graph Parallelism, introduced by Sriram et al. (ICLR 2022), addressed this by distributing a single input graph across multiple GPUs
Machine-learned interatomic potential
Machine-learned_interatomic_potential
Graphical representation of energy flows in physical systems
A bond graph is a graphical representation of the energy flows though and between physical dynamical systems including those in the electrical, mechanical
Bond_graph
Generalization of graph theory
hypergraph is a generalization of a graph in which an edge can join any number of vertices. In contrast, in an ordinary graph, an edge connects exactly two
Hypergraph
Natural number
In graph theory, all graphs with four or fewer vertices are planar, however, there is a graph with five vertices that is not: K5, the complete graph with
5
Type of graph in mathematics and physics
mathematics and physics, a quantum graph is a linear, network-shaped structure of vertices connected on edges (i.e., a graph) in which each edge is given a
Quantum_graph
American mathematician
areas of spectral graph theory, extremal graph theory and random graphs, in particular in generalizing the Erdős–Rényi model for graphs with general degree
Fan_Chung
Graph of zero divisors of a commutative ring
specifically in combinatorial commutative algebra, a zero-divisor graph is an undirected graph representing the zero divisors of a commutative ring. It has
Zero-divisor_graph
Type of topological space
one generator for each petal. The universal cover is an infinite tree, which can be identified with the Cayley graph of the free group. (This is a special
Rose_(topology)
twin-width of an undirected graph is a natural number associated with the graph, used to study the parameterized complexity of graph algorithms. Intuitively
Twin-width
Structure-preserving correspondence between node-link graphs
In the mathematical field of graph theory, a graph homomorphism is a mapping between two graphs that respects their structure. More concretely, it is a
Graph_homomorphism
Topics referred to by the same term
domain of discourse Universal point set, in graph drawing, a set that can be used for the vertices of drawings of all n-vertex planar graphs Sample space, in
Universal set (disambiguation)
Universal_set_(disambiguation)
graph is called the Gaifman graph or primal constraint graph (or simply primal graph) of the problem. If the primal graph of a problem is acyclic, establishing
Complexity of constraint satisfaction
Complexity_of_constraint_satisfaction
Type of continuous map in topology
covering space. Bethe lattice is the universal cover of a Cayley graph Covering graph, a covering space for an undirected graph, and its special case the bipartite
Covering_space
Subset of a graph's nodes such that all other nodes link to at least one
In graph theory, a dominating set for a graph G is a subset D of its vertices, such that any vertex of G is in D, or has a neighbor in D. The domination
Dominating_set
Theory of algebraic structures in general
in universal algebra. Mathematics portal Equational logic Graph algebra Term algebra Clone Universal algebraic geometry Simple algebra (universal algebra)
Universal_algebra
Node labeling problem in graph theory
In graph theory, the graph bandwidth problem may be visualized as placing the vertices of a given graph at distinct integer positions along the number
Graph_bandwidth
Unconditional social welfare proposal
Universal basic income (UBI) is a social welfare proposal in which all members of a given population regularly receive a minimum income in the form of
Universal_basic_income
Reasoning by means of visual representations
variables in CLIF. A universal quantifier, represented @every*z in CGIF, would be represented forall (z) in CLIF. An entitative graph is an element of the
Diagrammatic_reasoning
Graph where every connected induced subgraph has a universal vertex
cycle graph as induced subgraphs. They are the graphs in which every connected induced subgraph contains a universal vertex. They are the graphs that can
Trivially_perfect_graph
Multiple states under one central authority, usually created by conquest
successor states. The Empire of Bronze Age Egypt is not included in the graph. Established by Narmer circa 3000 BC, it lasted as long as China until it
Empire
Plot using the dispersal of scattered dots to show the relationship between variables
A scatter plot, also called a scatterplot, scatter graph, scatter chart, scattergram, or scatter diagram, is a type of plot or mathematical diagram using
Scatter_plot
Device performing a Boolean function
gates (such as NAND gates, NOR gates, or AND and OR gates). And-inverter graph Boolean algebra topics Boolean function Depletion-load NMOS logic Digital
Logic_gate
Natural number
{\displaystyle N-1} is a prime number. The four-color theorem states that a planar graph (or, equivalently, a flat map of two-dimensional regions such as countries)
4
define a graph with vertices and edges the disjoint union of all coset spaces Γ/Gx and Γ/Gy respectively. This graph is a tree, called the universal covering
Graph_of_groups
Search engine from Google
words. In 2012, Google introduced a semantic search feature named Knowledge Graph. Analysis of the frequency of search terms may indicate economic, social
Google_Search
Apple multi-architecture binary files
The universal binary format is a format for executable files that run natively either on both PowerPC-based and x86-based Macs or on both Intel 64-based
Universal_binary
American mathematician
1995. Her dissertation, supervised by Jim Stasheff, was A unique, universal graph polynomial and its Hopf algebraic properties, with applications to
Jo_Ellis-Monaghan
Graph with at most one cycle per component
In graph theory, a pseudoforest is an undirected graph in which every connected component has at most one cycle. That is, it is a system of vertices and
Pseudoforest
Topics referred to by the same term
the minimization of states in a state machine Implication graph, a skew-symmetric directed graph used for analyzing complex Boolean expressions Implication
Implication
Subgraph of planar graph with Hamiltonian cycle
In graph theory and graph drawing, a subhamiltonian graph is a subgraph of a planar Hamiltonian graph. A graph G is subhamiltonian if G is a subgraph
Subhamiltonian_graph
Branch of mathematics
contrast, does not solve the equation and is therefore not part of the graph. The graph encompasses the totality of ( x , y ) {\displaystyle (x,y)} -pairs
Algebra
Mathematical proposition
or more recently the Park-Pham Theorem, was a conjecture in the field of graph theory and statistical mechanics, proposed by Jeff Kahn and Gil Kalai in
Kahn–Kalai_conjecture
Marina Acciaio coastal submarine 864 3 January 1942 Sunk 9 November 1942 Graph Royal Navy Type VIIC submarine 857 15 May 1941 Former German U-570, captured
List of submarines of World War II
List_of_submarines_of_World_War_II
Process of generalization
they are not abstract in the sense of the objects in graph 1 below. We might look at other graphs, in a progression from cat to mammal to animal, and see
Abstraction
On linear-time algorithms for graph logic
study of graph algorithms, Courcelle's theorem is the statement that every graph property definable in the monadic second-order logic of graphs can be decided
Courcelle's_theorem
Maxim of logic formulated by Charles Sanders Peirce
Peirce's law Entitative graph in Qualitative logic Existential graph Functional completeness Logic gate Logic of information Logical graph Logical NOR Second-order
Pragmatic_maxim
1983 legal case
seek damages, and so Universal would pay Nintendo $1.8 million for "legal fees, photocopying expenses, costs incurred creating graphs and charts, and lost
Universal City Studios, Inc. v. Nintendo Co., Ltd.
Universal_City_Studios,_Inc._v._Nintendo_Co.,_Ltd.
OrientDB Sones GraphDB Sparksee TerminusDB TigerGraph TypeDB Vadalog DynamoDB FoundationDB Rasdaman SciDB SequoiaDB TimescaleDB Virtuoso Universal Server VoltDB
List of NoSQL software and tools
List_of_NoSQL_software_and_tools
Test of a specified bit in a binary number
1016/0022-0000(90)90022-D. MR 1079468. Rado, Richard (1964). "Universal graphs and universal functions" (PDF). Acta Arith. 9 (4): 331–340. doi:10.4064/aa-9-4-331-340
BIT_predicate
Machine learning algorithm
marginalization in general graphs. In essence, it entails performing belief propagation on a modified graph called a junction tree. The graph is called a tree because
Junction_tree_algorithm
Measure of a graph's centrality, based on shortest paths
In graph theory, betweenness centrality is a measure of centrality in a graph based on shortest paths. Betweenness centrality measures how frequently a
Betweenness_centrality
Subject matter of phenomenology
Peirce's law Entitative graph in Qualitative logic Existential graph Functional completeness Logic gate Logic of information Logical graph Logical NOR Second-order
Phaneron
Indian American mathematician
originally specialized in universal algebra, but her more recent research concerns graph theory, including graph pebbling and line graphs. She is a professor
Aparna_Higgins
2001 book by Joel Spencer
The Strange Logic of Random Graphs is a book on zero-one laws for random graphs. It was written by Joel Spencer and published in 2001 by Springer-Verlag
The Strange Logic of Random Graphs
The_Strange_Logic_of_Random_Graphs
Topics referred to by the same term
potential energy associated with gravitational force Utility graph, a mathematical graph used in the "water, gas, and electricity" problem Siemens NX
UG
Planar graphs have straight drawings
In the mathematical field of graph theory, Fáry's theorem states that any simple, planar graph can be drawn without crossings so that its edges are straight
Fáry's_theorem
Pay and benefits for upper management
the Dot-com bubble (2002) and housing bubble (2009) respectively. (See graph above.) Time magazine estimates that by 2007 "the median S&P 500 CEO earned
Executive compensation in the United States
Executive_compensation_in_the_United_States
Swiss mathematician (1707–1783)
logician, geographer, music theorist and engineer. He founded the studies of graph theory and topology and made influential discoveries in many other branches
Leonhard_Euler
Problem of finding a cycle through all vertices of a graph
theory and graph theory. It decides if a directed or undirected graph, G, contains a Hamiltonian path, a path that visits every vertex in the graph exactly
Hamiltonian_path_problem
Type of neural network which utilizes recursion
Extensions to graphs include graph neural network (GNN), Neural Network for Graphs (NN4G), and more recently convolutional neural networks for graphs. Goller
Recursive_neural_network
Type of network topology
connected in regular interconnection network such as a de Bruijn graph, a hypercube graph, a hypertree network, a fat tree network, a torus, or cube-connected
Grid_network
The Cuntz algebras, graph C*-algebras and k-graph C*-algebras are universal C*-algebras generated by partial isometries. The universal C*-algebra generated
Universal_C*-algebra
UNIVERSAL GRAPH
UNIVERSAL GRAPH
Girl/Female
Hindu, Indian
Universal
Girl/Female
Arabic, Muslim
Universal
Boy/Male
Hindu, Indian, Sanskrit, Telugu
Universal
Girl/Female
Greek
Universal.
Boy/Male
Slavic
Universal.
Girl/Female
Tamil
Sarvika | ஸரà¯à®µà®¿à®•à®¾
Universal
Sarvika | ஸரà¯à®µà®¿à®•à®¾
Boy/Male
Tamil
Universal
Girl/Female
Assamese, Hindu, Indian, Kannada, Malayalam, Marathi, Sanskrit, Sindhi, Tamil, Telugu
Universal
Girl/Female
Swedish American Teutonic English German
Universal.
Boy/Male
Hindu
Universal
Boy/Male
Tamil
Vishavam | வீஷாவாம
Universal
Vishavam | வீஷாவாம
Girl/Female
Greek
Universal.
Girl/Female
Indian
Universal
Girl/Female
Indian, Punjabi, Sikh
Universal
Girl/Female
Arabic
Universal
Girl/Female
Greek
Universal.
Girl/Female
Tamil
Arvika | à®…à®°à¯à®µà®¿à®•à®¾
Universal
Arvika | à®…à®°à¯à®µà®¿à®•à®¾
Girl/Female
Greek
Universal.
Boy/Male
Indian, Sanskrit
Universal
Boy/Male
Hindu
Universal
UNIVERSAL GRAPH
UNIVERSAL GRAPH
Boy/Male
Muslim
Reward
Girl/Female
Arabic, Muslim
Heaven
Boy/Male
Muslim Muslim
Old Arabic name. Second Khalifah of Islam. Age. Lifetime. Also a: Life. Long living.
Girl/Female
English French American
Courtyard within castle walls; steward or public official. Surname or given name.
Girl/Female
Hindu
Lamp
Boy/Male
Australian, German, Teutonic
People's Ruler
Male
Hindi/Indian
(शनि) Variant spelling of Hindi Śani, SHANI means "slow (as the planet Saturn)." In mythology, this is the name of a son of Surya. Compare with another form of Shani.
Boy/Male
Tamil
Yajnarup | யஜà¯à®¨à®¾à®°à¯‚ப
Lord Krishna
Boy/Male
American, Arabic, Australian, British, Chinese, English, Finnish, French, Hebrew, Irish, Latin, Swedish
Noble Friend; Elf; Brilliance; Brightness; Height; Exalted; Battle; Sublime; Light Skinned; Fair
Girl/Female
Muslim
To fascinate, To celebrate
UNIVERSAL GRAPH
UNIVERSAL GRAPH
UNIVERSAL GRAPH
UNIVERSAL GRAPH
UNIVERSAL GRAPH
v. t.
To make universal; to generalize.
a.
Adapted or adaptable to all or to various uses, shapes, sizes, etc.; as, a universal milling machine.
a.
Of or pertaining to the universe; extending to, including, or affecting, the whole number, quantity, or space; unlimited; general; all-reaching; all-pervading; as, universal ruin; universal good; universal benevolence or benefice.
n.
A general abstract conception, so called from being universally applicable to, or predicable of, each individual or species contained under it.
a.
Forming the whole of a genus; relatively unlimited in extension; affirmed or denied of the whole of a subject; as, a universal proposition; -- opposed to particular; e. g. (universal affirmative) All men are animals; (universal negative) No men are omniscient.
n.
That species of attraction or force by which all bodies or particles of matter in the universe tend toward each other; called also attraction of gravitation, universal gravitation, and universal gravity. See Attraction, and Weight.
n.
The universal remedy of Paracelsus.
v. t.
To render universal; to enlarge.
n.
Universal measurement.
a.
Constituting or considered as a whole; total; entire; whole; as, the universal world.
adv.
Universally.
adv.
In a universal manner; without exception; as, God's laws are universally binding on his creatures.
n.
Skepticism; universal doubt.
n.
Love; universal benevolence; good will.
a.
Implying universal presence.
n.
A universal proposition. See Universal, a., 4.
n.
The whole; the general system of the universe; the universe.
a.
Universal.
n.
A universal proposition. See Subaltern, 2.