Secure convex dominating sets in products of graphs

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Enrico L. Enriquez, Sergio R. Canoy

2015 Applied Mathematical Sciences Vol. 9 Issue 53-56 Article Cited by 2 Quartile

Abstract

In this paper, we characterize the secure convex dominating sets in the lexicographic and Cartesian products of two connected graphs and then determine the corresponding secure convex domination numbers of these graphs. © 2015 Enrico L. Enriquez and Sergio R. Canoy, Jr.

Affiliations

Department of Mathematics, College of Arts and Sciences, University of San Carlos, Cebu City, 6000, Philippines; Department of Mathematics and Statistics, Mindanao State University, Iligan Institute of Technology, Tibanga Highway, Iligan City, 9200, Philippines