Unified spectral hamiltonian results of balanced bipartite graphs and complementary graphs
Combinatorics
2020-05-11 v3
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.
Keywords
Cite
@article{arxiv.1809.03283,
title = {Unified spectral hamiltonian results of balanced bipartite graphs and complementary graphs},
author = {Muhuo Liu and Yang Wu and Hong-Jian Lai},
journal= {arXiv preprint arXiv:1809.03283},
year = {2020}
}
Comments
We find some problem in the result of it