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arXiv · 1707.00140

Some Results on the $b$-Colouring Parameters of Graphs

N. K. Sudev·K. P. Chithra·Johan Kok
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Abstract

A vertex colouring of a given graph $G$ can be considered as a random experiment. A discrete random variable $X$, corresponding to this random experiment, can be defined as the colour of a randomly chosen vertex of $G$ and a probability mass function for this random variable can be defined accordingly. In this paper, we study the concepts of mean and variance corresponding to the $b$-colouring of $G$ and hence determine the values of these parameters for a number of standard graphs.

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N. K. Sudev, K. P. Chithra, Johan Kok. 2017-07-01. Some Results on the $b$-Colouring Parameters of Graphs. https://arxiv.org/abs/1707.00140

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