Edge Cover

GPTKB entity

Statements (19)
Predicate Object
gptkbp:instanceOf Graph theory concept
gptkbp:appliesTo Directed graphs
Undirected graphs
gptkbp:definedIn A set of edges in a graph such that every vertex is incident to at least one edge in the set
https://www.w3.org/2000/01/rdf-schema#label Edge Cover
gptkbp:minimumEdgeCover An edge cover of smallest possible size
gptkbp:minimumEdgeCoverProblem Finding a minimum edge cover is a polynomial-time problem
gptkbp:property A minimum edge cover can be found using maximum matching
The size of a minimum edge cover plus the size of a maximum matching equals the number of vertices in a graph without isolated vertices
Every connected graph with at least two vertices has an edge cover
gptkbp:relatedTo gptkb:Vertex_Cover
Matching (graph theory)
gptkbp:usedIn Scheduling
Resource allocation
Network design
gptkbp:wikipediaArticle https://en.wikipedia.org/wiki/Edge_cover
gptkbp:bfsParent gptkb:Vertex_Cover
gptkb:Node_Cover
gptkbp:bfsLayer 7