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arXiv · 1603.01807

On the Number of Cycles in a Graph

Bader F. AlBdaiwi
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Abstract

There is a sizable literature on investigating the minimum and maximum numbers of cycles in a class of graphs. However, the answer is known only for special classes. This paper presents a result on the smallest number of cycles in hamiltonian 3-connected cubic graphs. Further, it describes a proof technique that could improve an upper bound of the largest number of cycles in a hamiltonian graph.

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Bader F. AlBdaiwi. 2016-03-06. On the Number of Cycles in a Graph. https://arxiv.org/abs/1603.01807

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