Inverse Closed Domination on the Unitary Cayley Graphs

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Published: Jan 23, 2019

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Edward Manseras Kiunisala
Cebu Normal University
Cristopher Salvaor Rosero
Cebu Normal University

Abstract

Let  be a ï¬nite group and e be its identity. Let S be a generating set of G such that and for all . Then the Cayley Graph is deï¬ned by , where  and  denoted by . The Unitary Cayley Graph, is deï¬ned by the additive group of the ring  of integers modulo n and the multiplicative group of  of its units. If we represent the elements ofby the integers, then it is known that . So has a vertex set  and the edge set

 In this paper, the domination in graph is extended to a Unitary Cayley graphs, in particular the inverse closed domination on the Unitary Cayley Graphs.

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How to Cite
Kiunisala, E. M., & Rosero, C. S. (2019). Inverse Closed Domination on the Unitary Cayley Graphs. Journal of Global Research in Mathematical Archives(JGRMA), 6(1), 01–06. Retrieved from https://jgrma.com/index.php/jgrma/article/view/521
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Vol. 6 No. 1 (2019): January-2019
Section
Research Paper
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Author Biographies

Edward Manseras Kiunisala, Cebu Normal University

Professor

Cristopher Salvaor Rosero, Cebu Normal University

Professor

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