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arXiv · 1809.03283

Unified spectral hamiltonian results of balanced bipartite graphs and complementary graphs

Muhuo Liu·Yang Wu·Hong-Jian Lai
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Abstract

There have been researches on sufficient spectral conditions for Hamiltonian properties and path-coverable properties of graphs. Utilizing the Bondy-Chv\'atal closure, we provide a unified approach to study sufficient graph eigenvalue conditions for these properties and sharpen former spectral results in [{\em Linear Algebra Appl.}, 432 (2010), 566-570], [{\em Linear Algebra Appl.}, 432 (2010), 2170-2173], [{\em Appl. Mech. Mater.}, 336-338 (2013), 2329-2334], [{\em Linear Algebra Appl.}, 467 (2015), 254-266], [{\em Linear Multilinear Algebra}, 64 (2016), 2252-2269], and [{\em J. Comb. Optim.}, 35 (2018), 1104-1127], among others.

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Muhuo Liu, Yang Wu, Hong-Jian Lai. 2018-09-10. Unified spectral hamiltonian results of balanced bipartite graphs and complementary graphs. https://arxiv.org/abs/1809.03283

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