The b-chromatic number of some degree splitting graphs

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DOI:

https://doi.org/10.26637/mjm203/010

Abstract

A b-coloring of a graph G is a variant of proper coloring in which each color class contains a vertex that has a neighbor in all the other color classes. We investigate some results on b-coloring in the context of degree splitting graph of Pn,Bn,n,Sn and Gn.

Keywords:

Graph coloring, degree splitting graph, b-coloring , b-vertex

Mathematics Subject Classification:

05C15, 05C76
  • S. K. Vaidya Department of Mathematics, Saurashtra University, Rajkot - 360005, Gujarat, India.
  • Rakhimol V. Isaac Department of Mathematics, Christ College, Rajkot - 360005, Gujarat, India.
  • Pages: 249-253
  • Date Published: 01-07-2014
  • Vol. 2 No. 03 (2014): Malaya Journal of Matematik (MJM)

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Published

01-07-2014

How to Cite

S. K. Vaidya, and Rakhimol V. Isaac. “The b-Chromatic Number of Some Degree Splitting Graphs”. Malaya Journal of Matematik, vol. 2, no. 03, July 2014, pp. 249-53, doi:10.26637/mjm203/010.

Issue

Vol. 2 No. 03 (2014): Malaya Journal of Matematik (MJM)

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Articles

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Copyright (c) 2014 MJM

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This work is licensed under a Creative Commons Attribution 4.0 International License.

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