Generalised colouring sums of graphs

Johan Kok, Sudev Naduvath, K. P. Chithra · Cogent Mathematics · 2016

The notion of the b-chromatic number of a graph attracted much research interests and recently a new concept, namely the b-chromatic sum of a graph, denoted by � (G), has also been introduced.Motivated by the studies on b-chromatic sum of graphs, in this paper we introduce certain new parameters such as -chromatic sum, + -chromatic sum, b + -chromatic sum, -chromatic sum and + -chromatic sum of graphs.We also discuss certain results on these parameters for a selection of standard graphs.

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