Inverse secure domination in graphs

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Enrico L. Enriquez, Edward M. Kiunisala

2016 Global Journal of Pure and Applied Mathematics Vol. 12 Issue 1 Article Cited by 2 Quartile

Abstract

In this paper, we show that every integers k, m, and n with 1 ≤ k ≤ m < n is realizable as inverse domination number, inverse secure domination number, and order of G respectively. Further, we give the characterization of the inverse secure dominating set with inverse secure domination number of one and two and give some important results. © Research India Publications.

Affiliations

Department of Mathematics, School of Arts and Sciences, University of San Carlos, Cebu City, 6000, Philippines

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