On Certain Colouring Parameters of Mycielski Graphs of Some Graphs

K. P. Chithra; N. K. Sudev; S. Satheesh; K. A. Germina; Johan Kok

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arXiv · 1708.01700

On Certain Colouring Parameters of Mycielski Graphs of Some Graphs

K. P. Chithra·N. K. Sudev·S. Satheesh·K. A. Germina·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 $G$. The concepts of mean and variance, two important statistical measures, have also been introduced to the theory of graph colouring and determined the values of these parameters for a number of standard graphs. In this paper, we discuss the colouring parameters of the Mycielskian of certain standard graphs.

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K. P. Chithra, N. K. Sudev, S. Satheesh, K. A. Germina, Johan Kok. 2017-08-05. On Certain Colouring Parameters of Mycielski Graphs of Some Graphs. https://arxiv.org/abs/1708.01700

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