Clique Cover

GPTKB entity

Statements (21)
Predicate Object
gptkbp:instanceOf graph
gptkbp:appliesTo undirected graphs
gptkbp:complexity gptkb:NP-hard
gptkbp:defines A clique cover of a graph is a set of cliques such that every edge of the graph belongs to at least one of the cliques.
gptkbp:field graph theory
https://www.w3.org/2000/01/rdf-schema#label Clique Cover
gptkbp:introducedIn mathematical literature on graph theory
gptkbp:minimumCliqueCover the smallest number of cliques needed to cover all edges of a graph
gptkbp:notation clique cover number (cc(G))
gptkbp:relatedTo gptkb:clique
edge coloring
chromatic number
vertex cover
clique partition
set cover problem
gptkbp:usedIn computational biology
network security
social network analysis
gptkbp:bfsParent gptkb:Karp's_21_NP-complete_problems
gptkb:Reducibility_Among_Combinatorial_Problems_(Karp,_1972)
gptkbp:bfsLayer 6