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Advances and Applications in Discrete Mathematics

Advances and Applications in Discrete Mathematics
Volume 19, Issue 3, Pages 213 - 228 (July 2018)
http://dx.doi.org/10.17654/DM019030213

FORCING DOMINATION NUMBERS OF GRAPHS UNDER SOME BINARY OPERATIONS

Cris L. Armada, Sergio R. Canoy, Jr. and Carmelito E. Go

Abstract:

In this paper, we characterize the dominating sets in the join, corona and composition (lexicographic product) of two graphs. Further, we determine the domination number and the forcing domination number of each of these graphs.

Keywords and phrases:

domination, forcing domination, join, corona, composition.

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