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Split graph

In graph theory, a branch of mathematics, a split graph is a graph in which the vertices can be partitioned into a clique and an independent set. Split graphs were first studied by Földes and Hammer (1977a, 1977b), and independently introduced by Tyshkevich and Chernyak (1979), where they called these graphs "polar graphs" (Russian: полярные графы).

Art, Relation to other graph families & Algorithmic problems

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Overview

Relation to other graph families

Algorithmic problems

Degree sequences

Counting split graphs

Advanced semantic analysis

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Map overview Semantic statistics

Split graph

Nodes49
Edges48
Triples28
Avg. degree1.96
Density0.040816
Components1

How this topic connects Entity context

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Split graph

Top relations

related to Relation to other graph families · 8
Split graph → Almost, Another, Because, Chudnovsky, From, Just, Strong Perfect Graph Theorem, The
related to Counting split graphs · 7
Split graph → Chernyak, For, Royle, Sperner, This, Tyshkevich, Using
related to Algorithmic problems · 5
Split graph → In, Let, Then, There, Thus
related to Degree sequences · 4
Split graph → If, Let, One, Then
related to Further reading · 3
Split graph → Algorithmic Graph Theory, Martin Charles Golumbic, Perfect Graphs
is a · 1
Split graph → graph in which the vertices can be partitioned into a clique and an independent set

Important terminology Word statistics

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Important terminology

split graphs graph set clique independent vertices one partitioned perfect chordal maximum also vertex case three np-complete families degree cycle

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Split graphis agraph in which the vertices can be partitioned into a clique and an independent set0.90text
Split graphrelated to Algorithmic problemsLet0.60section
Split graphrelated to Algorithmic problemsThen0.60section
Split graphrelated to Algorithmic problemsThus0.60section
Split graphrelated to Algorithmic problemsIn0.60section
Split graphrelated to Algorithmic problemsThere0.60section
Split graphrelated to Counting split graphsRoyle0.60section
Split graphrelated to Counting split graphsSperner0.60section
Split graphrelated to Counting split graphsUsing0.60section
Split graphrelated to Counting split graphsFor0.60section
Split graphrelated to Counting split graphsThis0.60section
Split graphrelated to Counting split graphsTyshkevich0.60section

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    Min side: 3
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