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Property of graphs that depends only on abstract structure
In graph theory, a graph property or graph invariant is a property of graphs that depends only on the abstract structure, not on graph representations
Graph_property
Mathematical model used by graph-oriented databases
A property graph, labeled property graph, or attributed graph is a data model of various graph-oriented databases, where pairs of entities are associated
Property_graph
Query language for property graphs
GQL (Graph Query Language) is a standardized query language for property graphs first described in ISO/IEC 39075, released in April 2024 by ISO/IEC. The
Graph_Query_Language
Representation of a computer program
property graph (CPG) is a computer program representation that captures syntactic structure, control flow, and data dependencies in a property graph.
Code_property_graph
Topic in computer science
the problem. Typically, property testing algorithms are used to determine whether some combinatorial structure S (such as a graph or a boolean function)
Property_testing
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
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
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
Two closely related models for generating random graphs
existence of graphs satisfying various properties, or to provide a rigorous definition of what it means for a property to hold for almost all graphs. There
Erdős–Rényi_model
Graph representing edges of another graph
connected graph G can be recovered completely from its line graph. Many other properties of line graphs follow by translating the properties of the underlying
Line_graph
Property of functions in topology
and topology, closed graph is a property of functions. A real function y = f ( x ) {\displaystyle y=f(x)} is closed if the graph is closed, meaning that
Closed_graph_property
Graph generated by a random process
particular property of the graph is likely to arise. Different random graph models produce different probability distributions on graphs. Most commonly
Random_graph
Subgraph with contracted edges
every graph property preserved by deletions and contractions may be recognized in polynomial time. Other results and conjectures involving graph minors
Graph_minor
Logical formulation of graph properties
mathematical fields of graph theory and finite model theory, the logic of graphs deals with formal specifications of graph properties using sentences of mathematical
Logic_of_graphs
Theorems connecting continuity to closure of graphs
analysis, the closed graph theorem is a result connecting the continuity of a linear operator to a topological property of their graph. Precisely, the theorem
Closed graph theorem (functional analysis)
Closed_graph_theorem_(functional_analysis)
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
Graph representing faces of another graph
embedding of the graph G, so it is a property of plane graphs (graphs that are already embedded in the plane) rather than planar graphs (graphs that may be
Dual_graph
Matrix representation of a graph
functional graph properties. Kirchhoff's theorem can be used to calculate the number of spanning trees for a given graph. The sparsest cut of a graph can be approximated
Laplacian_matrix
Branch of mathematics
3). Several theorems relate properties of the spectrum to other graph properties. As a simple example, a connected graph with diameter D will have at
Algebraic_graph_theory
Graph property
In the mathematical field of graph theory, a distance-regular graph is a regular graph such that for any two vertices v and w, the number of vertices
Distance-regular_graph
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
Influence of local substructure of a graph on global properties
In essence, extremal graph theory studies how global properties of a graph influence local substructure. Results in extremal graph theory deal with quantitative
Extremal_graph_theory
Topics referred to by the same term
Open graph may refer to: A confused version of the Closed graph property The Open Graph Protocol This disambiguation page lists articles associated with
Open_graph
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
Order-zero graph or any edgeless graph
mathematical field of graph theory, the term "null graph" may refer either to the order-zero graph, or alternatively, to any edgeless graph (the latter is sometimes
Null_graph
Graph with oriented edges
In mathematics, and more specifically in graph theory, a directed graph (or digraph) is a graph that is made up of a set of vertices connected by directed
Directed_graph
Equivalence of average-case and expected complexity
the graph is through such tests. Richard M. Karp conjectured that every randomized algorithm for every nontrivial monotone graph property (a property that
Yao's_principle
Graphical representation of a computer program or algorithm
In computer science, a control-flow graph (CFG) is a representation, using graph notation, of all paths that might be traversed through a function during
Control-flow_graph
Topics referred to by the same term
vertices and edges Graph theory, the study of such graphs and their properties Graph (topology), a topological space resembling a graph in the sense of discrete
Graph
Type of knowledge base
knowledge graph is a knowledge base that uses a graph-structured data model or topology to represent and operate on data. Knowledge graphs are often used
Knowledge_graph
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
Linear operator whose graph is closed
linear operator whose graph is closed (see closed graph property). It is a basic example of an unbounded operator. The closed graph theorem says a linear
Closed_linear_operator
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
Linear algebra aspects of graph theory
In mathematics, spectral graph theory is the study of the properties of a graph in relationship to the characteristic polynomial, eigenvalues, and eigenvectors
Spectral_graph_theory
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
On bipartite matching and vertex cover
In the mathematical area of graph theory, Kőnig's theorem, proved by Dénes Kőnig (1931), describes an equivalence between the maximum matching problem
Kőnig's theorem (graph theory)
Kőnig's_theorem_(graph_theory)
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
Adjacent subset of an undirected graph
In graph theory, a clique (/ˈkliːk/ or /ˈklɪk/) is a subset of vertices of an undirected graph such that every two distinct vertices in the clique are
Clique_(graph_theory)
Generalization of depth-first search trees
monadic second-order logic of graphs allows graph properties involving orientations to be recognized efficiently for graphs of bounded treewidth using Courcelle's
Trémaux_tree
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
Class of simple graphs defined from vector spaces
Grassmann graphs are q-analogs of the parameters of Johnson graphs, and Grassmann graphs have several of the same graph properties as Johnson graphs. Jq(n
Grassmann_graph
Graph of numbers differing by a square
quadratic residues, and have interesting properties that make them useful in graph theory more generally. Paley graphs are named after Raymond Paley. They
Paley_graph
Vertices connected in pairs by edges
In discrete mathematics, particularly in graph theory, a graph is a structure consisting of a set of objects where some pairs of the objects are in some
Graph_(discrete_mathematics)
Bijection between the vertex set of two graphs
"graph isomorphism" allows us to distinguish graph properties inherent to the structures of graphs themselves from properties associated with graph representations:
Graph_isomorphism
Graph divided into two independent sets
In the mathematical field of graph theory, a bipartite graph (or bigraph) is a graph whose vertices can be divided into two disjoint and independent sets
Bipartite_graph
Type of graph
biconnected graph has no articulation vertices. The property of being 2-connected is equivalent to biconnectivity, except that the complete graph of two vertices
Biconnected_graph
Unsolved problem on graph query complexity
properties, no algorithm can guarantee that it will be able to skip any questions: any algorithm for determining whether the graph has the property,
Aanderaa–Karp–Rosenberg conjecture
Aanderaa–Karp–Rosenberg_conjecture
Property of objects inherited by all their subobjects
context. These properties are particularly considered in topology and graph theory, but also in set theory. In topology, a topological property is said to
Hereditary_property
Derived graph of higher chromatic number
In the mathematical area of graph theory, the Mycielskian or Mycielski graph of an undirected graph is a larger graph formed from it by a construction
Mycielskian
Theorem relating continuity to graphs
mathematics, the closed graph theorem may refer to one of several basic results characterizing continuous functions in terms of their graphs. Each gives conditions
Closed_graph_theorem
Concept in game theory
of points on the graph converges, its limit point must also belong to the graph. This concept, related to the closed graph property in functional analysis
Graph_continuous_function
Graph database implemented in Java
development of the Graph Query Language (GQL), an ISO-standardized query language for property graphs, and is a founding member of the GraphQL Foundation,
Neo4j
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
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
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
Task of computing complete subgraphs
vertices, all adjacent to each other, also called complete subgraphs) in a graph. It has several different formulations depending on which cliques, and what
Clique_problem
Undirected graph with no non-trivial symmetries
nontrivial symmetries. Formally, an automorphism of a graph is a permutation p of its vertices with the property that any two vertices u and v are adjacent if
Asymmetric_graph
Graphs formed by a hypercube's edges and vertices
In graph theory, the hypercube graph Q n {\displaystyle Q_{n}} is the edge graph of the n {\displaystyle n} -dimensional hypercube, that is, it is the
Hypercube_graph
Bivariegated graph Cage (graph theory) Cayley graph Circle graph Clique graph Cograph Common graph Complement of a graph Complete graph Cubic graph Cycle graph De
List_of_graph_theory_topics
Theorem in graph theory
also has applications to property testing. Let H {\displaystyle H} be a graph with h {\displaystyle h} vertices. The graph removal lemma states that
Graph_removal_lemma
Second-smallest eigenvalue of a graph Laplacian
points to be assigned to the sign-based partition. Connectivity (graph theory) Graph property Weisstein, Eric W. "Algebraic Connectivity." From MathWorld--A
Algebraic_connectivity
Directed graph representing dependencies
mathematics, computer science and digital electronics, a dependency graph is a directed graph representing dependencies of several objects towards each other
Dependency_graph
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
Declarative graph query language
Cypher is a declarative graph query language that allows for expressive and efficient data querying in a property graph. Cypher was largely an invention
Cypher_(query_language)
Least-weight tree connecting graph vertices
tree is a subset of the edges of a connected, edge-weighted undirected graph that connects all the vertices together, without any cycles and with the
Minimum_spanning_tree
Graph of triangles with a shared vertex
the mathematical field of graph theory, the friendship graph (or Dutch windmill graph or n-fan) Fn is a planar, undirected graph with 2n + 1 vertices and
Friendship_graph
Graph whose maximal clique hypergraph is a hypertree
Unlike for chordal graphs, the property of being dually chordal is not hereditary, i.e., induced subgraphs of a dually chordal graph are not necessarily
Dually_chordal_graph
Square matrix used to represent a graph or network
In graph theory and computer science, an adjacency matrix is a square matrix used to represent a finite graph. The elements of the matrix indicate whether
Adjacency_matrix
Representation of a mathematical function
In mathematics, the graph of a function f {\displaystyle f} is the set of ordered pairs ( x , y ) {\displaystyle (x,y)} , where f ( x ) = y . {\displaystyle
Graph_of_a_function
Graph representing intersections between given sets
In graph theory, an intersection graph is a graph that represents the pattern of intersections of a family of sets. Any graph can be represented as an
Intersection_graph
Data query language developed by Facebook
or modified. A GraphQL server can process a client query using data from separate sources and present the results in a unified graph. The language is
GraphQL
Graph partition into regular subgraphs
shows that certain properties of random graphs can be applied to dense graphs like counting the copies of a given subgraph within graphs. Endre Szemerédi
Szemerédi_regularity_lemma
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
Describing a family of graphs by excluding certain (sub)graphs
In graph theory, a branch of mathematics, many important families of graphs can be described by a finite set of individual graphs that do not belong to
Forbidden graph characterization
Forbidden_graph_characterization
Graph of chess rook moves
In graph theory, a rook's graph is an undirected graph that represents all legal moves of the rook chess piece on a chessboard. Each vertex of a rook's
Rook's_graph
Path in a graph that visits each vertex exactly once
the mathematical field of graph theory, a Hamiltonian path (or traceable path) is a path in an undirected or directed graph that visits each vertex exactly
Hamiltonian_path
Graph formed by complementation and disjoint union
In graph theory, a cograph, or complement-reducible graph, or P4-free graph, is a graph that can be generated from the single-vertex graph K1 by complementation
Cograph
Intersection graph for curves in the plane
graph theory, a string graph is an intersection graph of curves in the plane; each curve is called a "string". Given a graph G, G is a string graph if
String_graph
Graph property
Colin de Verdière's invariant is a graph parameter μ ( G ) {\displaystyle \mu (G)} for any graph G, introduced by Yves Colin de Verdière in 1990. It was
Colin de Verdière graph invariant
Colin_de_Verdière_graph_invariant
Graph whose biconnected components are all cliques
In graph theory, a branch of combinatorial mathematics, a block graph or clique tree is a type of undirected graph in which every biconnected component
Block_graph
Partition of a graph whose components are reachable from all vertices
connected component of a directed graph G is a subgraph that is strongly connected, and is maximal with this property: no set of additional edges or vertices
Strongly_connected_component
Partition of the vertices of a graph
the graph. Tibor Gallai and Jack Edmonds independently discovered it and proved its key properties. The Gallai–Edmonds decomposition of a graph can be
Gallai–Edmonds_decomposition
theory. Krackhardt introduced the graph in 1990 to distinguish different concepts of centrality. It has the property that the vertex with maximum degree
Krackhardt_kite_graph
Trail in a graph that visits each edge once
In graph theory, an Eulerian trail (or Eulerian path) is a trail in a finite graph that visits every edge exactly once (allowing for revisiting vertices)
Eulerian_path
Trail in which only the first and last vertices are equal
In graph theory, a cycle in a graph is a non-empty trail in which only the first and last vertices are equal. A directed cycle in a directed graph is
Cycle_(graph_theory)
Undirected graph acted on by a vertex-transitive cyclic group of symmetries
In graph theory, a circulant graph is an undirected graph acted on by a cyclic group of symmetries which takes any vertex to any other vertex. It is sometimes
Circulant_graph
Knowledge base to enhance search results
The Knowledge Graph is a knowledge base from which Google serves relevant information in an infobox beside its search results. This allows the user to
Knowledge_Graph_(Google)
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
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
Graph with nodes connected in a closed chain
In graph theory, a cycle graph or circular graph is a graph that consists of a single cycle, or in other words, some number of vertices (at least 3, if
Cycle_graph
Study of Boolean functions via discrete Fourier analysis
social choice theory, random graphs, and theoretical computer science, especially in hardness of approximation, property testing, and PAC learning. We
Analysis_of_Boolean_functions
Conjecture in graph theory
conjecture, a graph property is called recognizable if one can determine the property from the deck of a graph. The following properties of graphs are recognizable:
Reconstruction_conjecture
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
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
Graph with a list of distinguished cycles
G. (A "linear class" is a class of circles that satisfies the theta-graph property mentioned above.) A subgraph or edge set whose circles are all in B
Biased_graph
Sex-specific adaptations
parameters (e.g., minimum bipartition width, edge number, the expander graph property, minimum vertex cover), the structural connectome of women are significantly
Sexual_dimorphism
Family of symmetric graphs which generalize the Petersen graph
odd graphs have high odd girth, meaning that they contain long odd-length cycles but no short ones. However their name comes not from this property, but
Odd_graph
Solid with 12 equal pentagonal faces
regular dodecahedron can be represented as the graph called the dodecahedral graph, a Platonic graph. Its property of the Hamiltonian, a path that visits all
Regular_dodecahedron
combinatorial properties of topological graphs, in particular, with the crossing patterns of their edges. It is closely related to graph drawing, a field
Topological_graph
Physical simulation to visualize graphs
Force-directed graph drawing algorithms are a class of algorithms for drawing graphs in an aesthetically-pleasing way. Their purpose is to position the
Force-directed_graph_drawing
GRAPH PROPERTY
GRAPH PROPERTY
Boy/Male
Afghan, Hebrew, Indian, Parsi, Sanskrit
Grape Presser; World; Song
Girl/Female
Hindu
Grape, Belonging to kashmir
Boy/Male
Hindu, Indian, Punjabi, Sikh
From Kashmir; Grape
Boy/Male
Biblical
A grape, a knot.
Girl/Female
Afghan, Arabic, Hebrew, Indian, Muslim, Parsi, Sanskrit
Grape Presser; World; Song; Universe
Boy/Male
Arabic, Modern
Grape
Boy/Male
Biblical
A grape, a knot.
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
Girl/Female
Indian
Grape like
Girl/Female
Indian
Grape vine
Girl/Female
Muslim
Grape vine
Boy/Male
Indian
Grape
Boy/Male
African, Arabic
Grape Vines
Girl/Female
Muslim
Grape like
Girl/Female
Arabic, Assamese, Hindu, Indian, Kannada, Malayalam, Marathi, Muslim, Telugu
Grape
Biblical
a grape; a knot
Boy/Male
Hebrew, Hindu, Indian, Marathi
Grape Cluster
Female
Thai/Siamese
Thai name A-GUN means "grape."
Boy/Male
Muslim
Grape
GRAPH PROPERTY
GRAPH PROPERTY
Male
English
Anglicized form of Hebrew Adiynow, ADINO means "soft, delicate" or "his ornament." In the bible, this is the name of one of King David's warriors.
Girl/Female
Australian, British, English, French, German
Wealthy
Male
Greek
(á¼ÎºÏ„ωÏ) Greek name derived from the word ekhein, HEKTOR means "defend; hold fast." In mythology, this is the name of the Trojan champion who killed Patroklos and was himself later killed by Achilles.Â
Girl/Female
Hindu, Indian
Twinkling of an Eye
Girl/Female
Australian, French, Hebrew, Latin
Gold
Boy/Male
Indian, Malayalam
Music Note
Boy/Male
Indian, Punjabi, Sikh
Remembering Righteous Path
Boy/Male
Hindu
Supreme godhead
Girl/Female
Arabic, Muslim
Modesty; Very Beautiful; A Heart of Gold; Trustworthy; An Angel; Perfect
Surname or Lastname
English (chiefly West Midlands)
English (chiefly West Midlands) : habitational name from any of the various places so called, from Old English sūð ‘south’ + halh ‘nook’, ‘recess’. The distribution of the surname in Britain makes a Midlands origin likely: places called Southall in Doverdale, Worcestershire, and Billingsley, Shropshire, are possible sources.
GRAPH PROPERTY
GRAPH PROPERTY
GRAPH PROPERTY
GRAPH PROPERTY
GRAPH PROPERTY
a.
Composed of, or resembling, grapes.
n.
A mangy tumor on the leg of a horse.
n.
The plant which bears this fruit; the grapevine.
a.
Resembling a grape.
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 white grape, esteemed for the table.
n.
A grape of many varieties and colors.
n.
The cultivation of the vine; grape growing.
n.
A sort of grape.
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.
n.
A grape dried in the sun; a raisin.
n.
A variety of shaddock, called also grape fruit.
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.
Grapeshot.
n.
A plant of the genus Muscari; grape hyacinth.
n.
A seed of the grape.
n.
A grape, or a bunch of grapes.