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Vector Domination in split-indifference graphs

descriptionPublicationkeyboard_double_arrow_right Article 01 Mar 2020Publisher:Elsevier BVJournal:Information Processing Letters, volume 155, page 105,899 (issn: 0020-0190,

Authors: Rodrigo Lamblet Mafort; Fábio Protti;

doi: 10.1016/j.ipl.2019.105899

Vector Domination in split-indifference graphs

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Abstract

Abstract Given a graph G = ( V , E ) and a vector of nonnegative integers R [ u ] u ∈ V (the vertex requirements), a set S ⊆ V is an R-dominating set of G if each u ∈ V ∖ S has at least R [ u ] neighbors in S. The Vector Domination problem aims at finding a minimum R-dominating set S. In this work we describe an O ( n ) -time algorithm to solve Vector Domination in split-indifference graphs.

Related Organizations

Universidade Federal Fluminense
Brazil
Federal Fluminense University
Brazil

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