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arXiv · 1706.02547

On Certain Colouring Parameters of Graphs

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

Colouring the vertices of a graph $G$ according to certain conditions can be considered as a random experiment and a discrete random variable $X$ can be defined as the number of vertices having a particular colour in the proper colouring of $G$. In this paper, we extend the concepts of mean and variance, two important statistical measures, to the theory of graph colouring and determine the values of these parameters for a number of standard graphs.

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N. K. Sudev, S. Satheesh, K. P. Chithra, Johan Kok. 2017-06-03. On Certain Colouring Parameters of Graphs. https://arxiv.org/abs/1706.02547

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