Table of Contents
ISRN Combinatorics
Volume 2013 (2013), Article ID 792743, 4 pages
http://dx.doi.org/10.1155/2013/792743
Research Article

Extended Chain of Domination Parameters in Graphs

1Department of Mathematics, The Madura College, Madurai 625 011, India
2Department of Mathematics, St. Xavier’s College, Palayamkottai 627 002, India

Received 30 June 2013; Accepted 14 August 2013

Academic Editors: B. Alspach, S. Hu, and H. Hua

Copyright © 2013 I. Sahul Hamid and S. Balamurugan. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

A subset of the vertex set of a graph is called an isolate set if the subgraph induced by has an isolated vertex. The subset is called an isolate dominating set if it is both isolate and dominating. Also, is called an isolate irredundant set if it is both isolate and irredundant. In this paper, we establish a chain connecting various isolate parameters with the existing domination parameters and discuss equality among the parameters in the extended chain.