Strong and weak vertex-edge mixed domination on s - valued graphs
International Journal of Development Research
Strong and weak vertex-edge mixed domination on s - valued graphs
Received 09th July, 2017; Received in revised form 24th August, 2017; Accepted 27th September, 2017; Published online 10th October, 2017
Copyright ©2017, Kiruthiga Deepa and Chandramouleeswaran. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
In (Kiruthiga Deepa, 2016) we have defined the terms ev−weight m−dominating set, in which we have considered the weight of edges which dominates the weight of the vertices belonging to the spanning sub graph of NS(e). If we include the condition on the degrees of the edges and vertices belonging to the ev−weight m−dominating set, we obtain the notion of strong and weak ev−weight m−dominating set in GS. AMS Classification: 05C25, 16Y60
