New bound on MIS and MIN-CDS for a unit ball graph

Doost Ali Mojdeh, Maryam Ghanbari, Mehdi Ramezani · ICT Express · 2017

The size of the maximum independent set ( MIS ) in a graph G is called the independence number. The size of the minimum connected dominating set ( MIN-CDS ) in G is called the connected domination number. The aim of this paper is to determine two better upper bounds of the independence number; dependent on the connected domination number for a unit ball graph. Further, we improve the upper bound to obtain the best bound with respect to the upper bounds obtained thus far.

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