Berge graph

GPTKB entity

Statements (17)
Predicate Object
gptkbp:instanceOf graph
gptkbp:characterizedBy absence of odd cycles of length at least five and their complements as induced subgraphs
gptkbp:definedIn a graph in which every odd cycle of length at least five has a chord
gptkbp:firstDefined 1960s
https://www.w3.org/2000/01/rdf-schema#label Berge graph
gptkbp:importantFor graph coloring
Strong Perfect Graph Conjecture
clique problems
gptkbp:namedAfter gptkb:Claude_Berge
gptkbp:property contains no odd hole or odd antihole
every induced subgraph is also a Berge graph
gptkbp:relatedTo gptkb:Strong_Perfect_Graph_Theorem
perfect graph
gptkbp:usedIn theoretical computer science
combinatorics
gptkbp:bfsParent gptkb:Claude_Berge
gptkbp:bfsLayer 7