Movable Independent Dominating Sets in Paths and Cycles

Authors

  • Renario G. Hinampas

Abstract

A nonempty set S ⊆ V (G) is a 1-movable independent dominating set of G if S is an independent dominating set of G and for every v ∈ S,there exists a vertex u ∈ (V (G)\S)∩NG(v) such that (S\{v})∪{u} is an independent dominating set of G.The 1-movable independent domination number of G denoted by γmi 1 (G) is the smallest cardinality of a 1-movable independent dominating of G. This paper characterizes 1-movable independent dominating sets in a path Pn and a cycle Cn.

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Published

2018-07-21

How to Cite

Hinampas, R. G. (2018). Movable Independent Dominating Sets in Paths and Cycles. Journal of Global Research in Mathematical Archives(JGRMA), 5(7), 96–101. Retrieved from https://www.jgrma.com/index.php/jgrma/article/view/500

Issue

Vol. 5 No. 7 (2018): July-2018

Section

Research Paper

License

Open Access: This is an open-access journal. All articles published in the Journal of Global Research in Mathematical Archives(JGRMA) are made immediately and permanently available under the Creative Commons Attribution 4.0 International (CC BY 4.0) License. Authors retain the copyright of their work and grant Journal of Global Research in Mathematical Archives(JGRMA)  the right of first publication. This license permits unrestricted use, distribution, adaptation, and reproduction in any medium or format, including commercial use, provided the original author(s), source, and license are properly acknowledged.

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