A note on the p-domination number of trees

Let \(p\) be a positive integer and \(G =(V(G),E(G))\) a graph. A \(p\)-dominating set of \(G\) is a subset \(S\) of \(V(G)\) such that every vertex not in \(S\) is dominated by at least \(p\) vertices in \(S\). The \(p\)-domination number \(\gamma_p(G)\) is the minimum cardinality among the \(p\)-d...

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Bibliographic Details
Main Authors: You Lu, Xinmin Hou, Jun-Ming Xu
Format: Article
Language:English
Published: AGH Univeristy of Science and Technology Press 2009-01-01
Series:Opuscula Mathematica
Subjects:
Online Access:http://www.opuscula.agh.edu.pl/vol29/2/art/opuscula_math_2914.pdf