Upper bounds for signless Laplacian Z-spectral radius of uniform hypergraphs
Let H be a k-uniform hypergraph on n vertices with degree sequence Δ= d1≥... ≥dn = δ: In this paper, in terms of degree di; we give some upper bounds for the Z-spectral radius of the signless Laplacian tensor (Q(H)) of H. Some examples are given to show the efficiency of these bounds.
KeywordsHypergraph adjacency tensor signless Laplacian tensor spectral radius
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Jun He was supported by the Science and Technology Foundation of Guizhou Province (Qian Ke He Ji Chu 1161), the Natural Science Foundation of Guizhou Province (Qian Jiao He KY 255), and the Doctoral Scientific Research Foundation of Zunyi Normal College (BS09). Yanmin Liu was supported by the National Natural Science Foundations of China (Grant No. 71461027), the Science and Technology Talent Training Object of Guizhou Province Outstanding Youth (Qian Ke He Ren Zi 06), the Natural Science Foundation of Guizhou Province (Qian Jiao He KY 295), 2013, 2014, and 2015 Zunyi 15851 Talents Elite Project Funding, and the Zunyi Innovative Talent Team (Zunyi KH (2015)38). Junkang Tian was supported by the Natural Science Foundation of Guizhou Province (Qian Jiao He KY 451), and the Science and Technology Foundation of Guizhou Province (Qian Ke He J Zi 2147). Xianghu Liu was supported by the Guizhou Province Department of Education Fund (KY391, 046), the Guizhou Province Department of Education Teaching Reform Project (337), and the Guizhou Province Science and Technology Fund (qian Ke He Ji Chu 1160).