OUTER-CLIQUE DOMINATION IN THE CORONA AND CARTESIAN PRODUCT OF GRAPHS

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Published: Aug 24, 2018

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Enrico Limbo Enriquez
University of San Carlos
Valerie Verallo Fernandez
University of San Carlos
Jovita N. Ravina
University of San CarlosP

Abstract

Let G  be a simple graph. A set  S of vertices of a graph G is an outer-clique dominating set if every vertex not in S is adjacent to some vertex in S and the subgraph induced by V(G)\S is clique. In this paper, we give the characterization of the outer-clique dominating sets resulting from the corona and Cartesian product of two graphs and give their corresponding outer-clique domination number.

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How to Cite
Enriquez, E. L., Fernandez, V. V., & Ravina, J. N. (2018). OUTER-CLIQUE DOMINATION IN THE CORONA AND CARTESIAN PRODUCT OF GRAPHS. Journal of Global Research in Mathematical Archives(JGRMA), 5(8), 01–07. Retrieved from https://jgrma.com/index.php/jgrma/article/view/501
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Vol. 5 No. 8 (2018): August-2018
Section
Research Paper
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Author Biographies

Enrico Limbo Enriquez, University of San Carlos

Associate Professor

Mathematics Department

School of Arts and Sciences

University of San Carlos

Philippines

Valerie Verallo Fernandez, University of San Carlos

Full Instructor

Mathematics Department

School of Arts and Sciences

University of San Carlos

Philippines

Jovita N. Ravina, University of San CarlosP

Full Instructor

Mathematics Department

School of Arts and Sciences

University of San Carlos

Philippines

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