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Intersection graph

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, but some important special classes of graphs can be defined by the types of sets that are used to form an intersection representation of them.

Classes of intersection graphs, All graphs are intersection graphs & Related concepts

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Classes of intersection graphs

Interval graphPath graphIndifference graphCircular arc graphArcs on a circle
31 related topics

All graphs are intersection graphs

If and only ifČulík (1964)Intersection number
3 related topics

Related concepts

Order-theoreticInclusion ordersPoset
3 related topics

Formal definition

Undirected graphNonempty
2 related topics

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Overview

Formal definition

All graphs are intersection graphs

Classes of intersection graphs

Related concepts

Advanced semantic analysis

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Map overview Semantic statistics

Intersection graph

Nodes49
Edges48
Triples95
Avg. degree1.96
Density0.040816
Components1

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Intersection graph

Top relations

related to References · 64
Intersection graph → Academic Press, Algorithmic Graph Theory, Applications, Applied Mathematics, Canadian Journal, Characterizing, Chicago, CJM-1966-014-3, Complexity, Computer Science, Discrete Mathematics, Edward, Erdős, Fund, Golumbic, Goodman, Graph Drawing, Graphs, GS, House Czechoslovak Acad
related to All graphs are intersection graphs · 10
Intersection graph → Any, Erdős, For, Goodman, Pósa, Si, Szpilrajn-Marczewski, The, Therefore, They
related to Classes of intersection graphs · 8
Intersection graph → An, However, Many, One, Schaefer, Scheinerman's, The, They
related to External links · 5
Intersection graph → Intersection Graph County, Jan Kratochvíl, Journey, June, Prisner
related to Further reading · 3
Intersection graph → For, McKee, McMorris
related to Formal definition · 2
Intersection graph → Formally, Si
related to Related concepts · 2
Intersection graph → An, In
is a · 1
Intersection graph → graph that represents the pattern of intersections of a family of sets

Important terminology Word statistics

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Important terminology

graph intersection graphs sets set family defined classes theory mr also doi vertices line every represented representation vertex si two

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Intersection graphis agraph that represents the pattern of intersections of a family of sets0.90text
Intersection graphrelated to All graphs are intersection graphsAny0.60section
Intersection graphrelated to All graphs are intersection graphsFor0.60section
Intersection graphrelated to All graphs are intersection graphsSi0.60section
Intersection graphrelated to All graphs are intersection graphsTherefore0.60section
Intersection graphrelated to All graphs are intersection graphsErdős0.60section
Intersection graphrelated to All graphs are intersection graphsGoodman0.60section
Intersection graphrelated to All graphs are intersection graphsPósa0.60section
Intersection graphrelated to All graphs are intersection graphsThey0.60section
Intersection graphrelated to All graphs are intersection graphsSzpilrajn-Marczewski0.60section
Intersection graphrelated to All graphs are intersection graphsThe0.60section
Intersection graphrelated to Classes of intersection graphsMany0.60section

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