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Graphs with equal domination and independent domination numbers

Purnima Gupta, Rajesh Singh, S. Arumugam

AKCE International Journal of Graphs and Combinatorics · 2020

doi:10.1080/09728600.2020.1833692 (opens in a new tab)

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Abstract

Let γ(G) and i(G) denote the domination number and independent domination number of a graph G. In this article, we establish a sufficient condition for a graph G to satisfy which yields some of the well known classical theorems as corollaries. Further, we also construct several families of graphs G satisfying γ(G) = i(G) using the sufficient condition.

Abstract licence: CC BY-NC

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