Heredity for generalized power domination

In this paper, we study the behaviour of the generalized power domination number of a graph by small changes on the graph, namely edge and vertex deletion and edge contraction. We prove optimal bounds for $\gamma_{p,k}(G-e)$, $\gamma_{p,k}(G/e)$ and for $\gamma_{p,k}(G-v)$ in terms of $\gamma_{p,k}(...

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Bibliographic Details
Main Authors: Paul Dorbec, Seethu Varghese, Ambat Vijayakumar
Format: Article
Language:English
Published: Discrete Mathematics & Theoretical Computer Science 2016-04-01
Series:Discrete Mathematics & Theoretical Computer Science
Subjects:
Online Access:https://dmtcs.episciences.org/1290/pdf