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arXiv · 1404.1698

The Sum and Product of Chromatic Numbers of Graphs and their Line Graphs

Sunny Joseph Kalayathankal·Susanth C
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Abstract

A Nordhaus-Gaddum-type result is a (tight) lower or upper bound on the sum or product of a parameter of a graph and its complement. In this paper some variations are considered. First, recall their theorem, which gives bounds on the sum and the product of the chromatic number of a graph with that of its complement. In this paper, we provide a new characterization of the other class of graphs.

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Sunny Joseph Kalayathankal, Susanth C. 2014-09-20. The Sum and Product of Chromatic Numbers of Graphs and their Line Graphs. https://arxiv.org/abs/1404.1698

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