Abstract:Abstract:We recall that the minimum number of colors that allow a proper coloring of graph G is called the chromatic number of G and denoted χ(G). Motivated by the introduction of the concept of the b-chromatic sum of a graph the concept of χ -chromatic sum and χ + -chromatic sum are introduced in this paper. The extended graph G x of a graph G was recently introduced for certain regular graphs. This paper furthers the concepts of χ -chromatic sum and χ + -chromatic sum to extended paths and cycles. Bipartite … Show more
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