Vertex cover

GPTKB entity

Statements (29)
Predicate Object
gptkbp:instanceOf Graph theory concept
gptkbp:application gptkb:Bioinformatics
Network security
Resource allocation
gptkbp:approximation_algorithm 2-approximation exists
gptkbp:complement Maximum independent set
gptkbp:complexity NP-complete
gptkbp:decision_problem Does a graph have a vertex cover of size k?
gptkbp:definedIn A set of vertices such that every edge in the graph is incident to at least one vertex in the set
gptkbp:field gptkb:Graph_theory
Computer science
https://www.w3.org/2000/01/rdf-schema#label Vertex cover
gptkbp:input Undirected graph
gptkbp:König's_theorem In bipartite graphs, size of minimum vertex cover equals size of maximum matching
gptkbp:minimum_vertex_cover Smallest possible vertex cover in a graph
gptkbp:NP-complete Yes
gptkbp:output Set of vertices
gptkbp:parameterized_complexity Fixed-parameter tractable for parameter k
gptkbp:relatedTo gptkb:Clique
Edge cover
Independent set
gptkbp:studiedBy gptkb:King
gptkbp:used_in gptkb:Social_network_analysis
Scheduling
VLSI design
Network design
Facility location
gptkbp:bfsParent gptkb:Hitting_Set
gptkbp:bfsLayer 7