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Hypergraph

In mathematics, a 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 vertices.

Applications, Cycles & Generalizations of concepts from graphs

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Overview

Applications

Generalizations of concepts from graphs

Hypergraph drawing

Properties of hypergraphs

Related hypergraphs

Incidence matrix

Adjacency matrix

Cycles

Isomorphism, symmetry, and equality

Partitions

Further generalizations

Advanced semantic analysis

Deeper signals for content research, entity SEO and topical coverage. The plain-language headings explain what each technical view is useful for.

Map overview Semantic statistics

Hypergraph

Nodes108
Edges107
Triples151
Avg. degree1.98
Density0.018519
Components1

How this topic connects Entity context

See the strongest relationship patterns around the current topic before diving into the raw triples.

Hypergraph

Top relations

related to References · 34
Hypergraph → Alain, Algorithms, American Mathematical Society, An Introduction, Applications, Berge, Bretto, Claude, Coloring Mixed Hypergraphs, Combinatorics, Creative Commons Attribution/Share-Alike License, Elsevier, EMS Press, Encyclopedia, Fields Institute Monographs, Finite Sets, Graph, Hypergraph Seminar, Hypergraph Theory, Hypergraphs
related to Properties of hypergraphs · 14
Hypergraph → An, Connected, Downward-closed, Empty, Every, In, It, Laminar, Non-simple, Property, Reduced, Simple, The, Two
has application · 13
Hypergraph → Apache Spark, Directed, For, Horn-satisfiability, In, It, Laplacian, Representative, So, Steiner, The, They, Undirected
related to Further generalizations · 12
Hypergraph → Consider, Conversely, For, However, In, Levi, One, Since, So, The, Then, There
see also · 12
Hypergraph → Abstract, BF-graph, Computation, Computational, Function, Generalization, Graph, Model, Net, Set, Symmetric, Type
related to Generalizations of concepts from graphs · 11
Hypergraph → Erdős, Hall-type, Katona, Ko, Kruskal, Line, Many, Matching, Rado, Ramsey's, Vertex
is a · 9
Hypergraph → alternating sequence of distinct vertices and edges, generalization of a graph in which an edge can join any number of vertices, graph with the same vertices of the hypergraph, hypergraph such that all its hyperedges have size k, hypergraph with some edges removed, number of edges in E, pair, partial hypergraph H, reduced hypergraph obtained by removing every hyperedge which is included in another hyperedge.Downward-closed - every subset of an undirected hypergraph's edges is a hyperedge too
related to Tight cycles · 9
Hypergraph → Dirac's, Hamilton, Hamiltonicity, Katona, Kierstead, Ruciński, Rödl, Szemerédi, This
related to α-acyclicity · 9
Hypergraph → Berge-acyclicity, Berge-cyclic, Besides, Graham's, GYO, In, The, This, We
related to Berge cycles · 4
Hypergraph → Berge, Claude Berge, Thus Berge-cyclicity, Under

Important terminology Word statistics

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Important terminology

displaystyle vertices graph edges hypergraphs set called hyperedges vertex edge one every hyperedge number bipartite incidence directed two notion graphs

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Hypergraphis ageneralization of a graph in which an edge can join any number of vertices0.90text
Hypergraphis apair0.90text
Hypergraphis anumber of edges in E0.90text
Hypergraphis ahypergraph such that all its hyperedges have size k0.90text
Hypergraphis areduced hypergraph obtained by removing every hyperedge which is included in another hyperedge.Downward-closed - every subset of an undirected hypergraph's edges is a hyperedge too0.90text
Hypergraphis ahypergraph with some edges removed0.90text
Hypergraphis apartial hypergraph H0.90text
Hypergraphis agraph with the same vertices of the hypergraph0.90text
Hypergraphis aalternating sequence of distinct vertices and edges0.90text
Hypergraphhas applicationUndirected0.60section
Hypergraphhas applicationSteiner0.60section
Hypergraphhas applicationThey0.60section

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