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arXiv · 1509.05476

On Extension of Regular Graphs

Anirban Banerjee·Saptarshi Bej
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Abstract

In this article, we discuss when one can extend an r-regular graph to an r + 1 regular by adding edges. Different conditions on the num- ber of vertices n and regularity r are developed. We derive an upper bound of r, depending on n, for which, every regular graph G(n, r) can be extended to an r + 1-regular graph with n vertices. Presence of induced complete bipartite subgraph and complete subgraph is dis- cussed, separately, for the extension of regularity.

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Anirban Banerjee, Saptarshi Bej. 2015-09-17. On Extension of Regular Graphs. https://arxiv.org/abs/1509.05476

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