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Interval graph

In graph theory, an interval graph is an undirected graph formed from a set of intervals on the real line, with a vertex for each interval and an edge between vertices whose intervals intersect. It is the intersection graph of the intervals.

Characters, Applications & Measurement

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Explore the main themes, entities and connections around Interval graph. Start with the topic map, then use the sections below for research and deeper semantic analysis.

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Overview

Characterizations

Efficient recognition algorithm

Related families of graphs

Applications

Interval completions and pathwidth

Combinatorial enumeration

Advanced semantic analysis

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Map overview Semantic statistics

Interval graph

Nodes70
Edges69
Triples56
Avg. degree1.97
Density0.028571
Components1

How this topic connects Entity context

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

Interval graph

Top relations

has application · 13
Interval graph → Alan, Cohen, Delbert Fulkerson, Fishburn, In, Interval, Joel, Peter, RAND Corporation's, See, The, Tucker, Victor Klee
related to Efficient recognition algorithm · 11
Interval graph → Booth, Corneil, Determining, Habib, LexBFS, Lueker, Many, Olariu, PQ, Stewart, The
related to External links · 6
Interval graph → Eric, Graph Classes, InclusionsWeisstein, Information System, Interval, MathWorld
related to Proper interval graphs · 6
Interval graph → An, Every, However, Not, Proper, This
is a · 5
Interval graph → claw-free graph, proper interval graph, undirected graph formed from a set of intervals on the real line, undirected graph G formed from a family of intervals S i, unit interval graph
related to Characterizations · 4
Interval graph → AT, AT-free, The, Three
related to Related families of graphs · 4
Interval graph → AT-free, By, From, Their
related to Definition · 3
Interval graph → An, Si, That
related to Combinatorial enumeration · 2
Interval graph → The, Without
related to Interval completions and pathwidth · 2
Interval graph → If, The

Important terminology Word statistics

Use these terms to understand the vocabulary surrounding the topic, not as a checklist for keyword stuffing.

Important terminology

interval graphs graph intervals displaystyle proper set time chordal vertices applications also representation vertex intersection unit two contains one include

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Interval graphis aundirected graph formed from a set of intervals on the real line0.90text
Interval graphis aundirected graph G formed from a family of intervals S i0.90text
Interval graphis aunit interval graph0.90text
Interval graphis aclaw-free graph0.90text
Interval graphis aproper interval graph0.90text
Interval graphhas applicationThe0.60section
Interval graphhas applicationRAND Corporation's0.60section
Interval graphhas applicationPeter0.60section
Interval graphhas applicationFishburn0.60section
Interval graphhas applicationAlan0.60section
Interval graphhas applicationTucker0.60section
Interval graphhas applicationJoel0.60section

Related concept clusters Concept neighborhoods

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    Connections between topic areas Semantic bridges

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    Min side: 3
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