THE b-CHROMATIC NUMBER OF HELM GRAPH

Nadeem Ansari Β· International Journal of Advanced Research in Computer Science Β· 2017

The b-chromatic number πœ‘(𝐺) of a graph 𝐺 is the greatest integer k such that 𝐺 admits a proper k-coloring in which every color class 𝑖 has a vertex realizing color 𝑖 that is proficient to correspond with all the others color classes. The paper estimates the 𝑏-chromatic number of helm graph, central graph of helm graph and middle graph of helm graph which is denoted by Hn, C(Hn) and 𝑀(Hn) respectively.

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