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arXiv · 1705.01683

Spectral Radius and Hamiltonicity of graphs

Guidong Yu·Yi Fang·Yizheng Fan·Gaixiang Cai
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Abstract

In this paper, we study the Hamiltonicity of graphs with large minimum degree. Firstly, we present some conditions for a simple graph to be Hamilton-connected and traceable from every vertex in terms of the spectral radius of the graph or its complement respectively. Secondly, we give the conditions for a nearly balanced bipartite graph to be traceable in terms of spectral radius, signless Laplacian spectral radius of the graph or its quasi-complement respectively.

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Guidong Yu, Yi Fang, Yizheng Fan, Gaixiang Cai. 2017-11-28. Spectral Radius and Hamiltonicity of graphs. https://arxiv.org/abs/1705.01683

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