Dominating Vertex Covers: The Vertex-Edge Domination Problem

The vertex-edge domination number of a graph, γve(G), is defined to be the cardinality of a smallest set D such that there exists a vertex cover C of G such that each vertex in C is dominated by a vertex in D. This is motivated by the problem of determining how many guards are needed in a graph so t...

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Bibliographic Details
Main Authors: Klostermeyer William F., Messinger Margaret-Ellen, Yeo Anders
Format: Article
Language:English
Published: Sciendo 2021-02-01
Series:Discussiones Mathematicae Graph Theory
Subjects:
Online Access:https://doi.org/10.7151/dmgt.2175