Dominating Set

GPTKB entity

Statements (28)
Predicate Object
gptkbp:instanceOf graph
gptkbp:application social network analysis
network design
resource placement
gptkbp:complexity NP-complete
gptkbp:defines A dominating set for a graph G = (V, E) is a subset D of V such that every vertex not in D is adjacent to at least one member of D.
gptkbp:dominationNumber size of minimum dominating set
gptkbp:field discrete mathematics
graph theory
gptkbp:generalizes vertex cover
gptkbp:hasVariant connected dominating set
independent dominating set
total dominating set
weighted dominating set
https://www.w3.org/2000/01/rdf-schema#label Dominating Set
gptkbp:introducedIn graph theory literature
gptkbp:minimumDominatingSet smallest possible dominating set in a graph
gptkbp:notation γ(G) for domination number
gptkbp:NP-complete minimum dominating set problem
gptkbp:relatedTo independent set
vertex cover
minimum dominating set
gptkbp:supportsAlgorithm greedy algorithm
approximation algorithm
gptkbp:usedIn wireless networks
biological networks
gptkbp:bfsParent gptkb:Vertex_Cover
gptkbp:bfsLayer 7