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Cop-win graph

In graph theory, a cop-win graph is an undirected graph on which the pursuer (cop) can always win a pursuit–evasion game against a robber, with the players taking alternating turns in which they can choose to move along an edge of a graph or stay put, until the cop lands on the robber's vertex. Finite cop-win graphs are also called dismantlable graphs or…

Related families of graphs, Recognition algorithms & Closure properties

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Definitions

Closure properties

Recognition algorithms

Related families of graphs

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Map overview Semantic statistics

Cop-win graph

Nodes45
Edges44
Triples48
Avg. degree1.96
Density0.044444
Components1

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Cop-win graph

Top relations

related to Closure properties · 13
Cop-win graph → And, Each, For, However, In, It, Nowakowski, On, The, Then, This, Whenever, Winkler
related to Equivalence of cop-win and dismantlability · 8
Cop-win graph → Additionally, By, Conversely, Every, Following, For, It, This
related to history · 8
Cop-win graph → Aigner, Another, Fromme, Gabor, Nowakowski, Quilliot, The, Winkler
related to In infinite graphs · 7
Cop-win graph → Analogously, By Kőnig's, In, Instead, On, The, These
related to Pursuit–evasion · 5
Cop-win graph → Cop-win, If, Next, On, The
related to Related families of graphs · 5
Cop-win graph → Conversely, Every, For, However, Whenever
is a · 2
Cop-win graph → graph with the property that, undirected graph on which the pursuer

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Important terminology

graph cop-win vertex cop graphs vertices algorithm robber game one win dominated adjacent number deficit dismantling every pair move two

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Cop-win graphis aundirected graph on which the pursuer0.90text
Cop-win graphis agraph with the property that0.90text
Cop-win graphrelated to Closure propertiesIn0.60section
Cop-win graphrelated to Closure propertiesEach0.60section
Cop-win graphrelated to Closure propertiesThe0.60section
Cop-win graphrelated to Closure propertiesThen0.60section
Cop-win graphrelated to Closure propertiesFor0.60section
Cop-win graphrelated to Closure propertiesOn0.60section
Cop-win graphrelated to Closure propertiesIt0.60section
Cop-win graphrelated to Closure propertiesHowever0.60section
Cop-win graphrelated to Closure propertiesNowakowski0.60section
Cop-win graphrelated to Closure propertiesWinkler0.60section

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    Min side: 3
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