A note on global alliances in trees

For a graph \(G=(V,E)\), a set \(S\subseteq V\) is a dominating set if every vertex in \(V-S\) has at least a neighbor in \(S\). A dominating set \(S\) is a global offensive (respectively, defensive) alliance if for each vertex in \(V-S\) (respectively, in \(S\)) at least half the vertices from the...

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Bibliographic Details
Main Authors: Mohamed Bouzefrane, Mustapha Chellali
Format: Article
Language:English
Published: AGH Univeristy of Science and Technology Press 2011-01-01
Series:Opuscula Mathematica
Subjects:
Online Access:http://www.opuscula.agh.edu.pl/vol31/2/art/opuscula_math_3111.pdf