A sharp upper bound on the signless Laplacian spectral radius of graphs

作者：Cui Shu Yu; Tian Gui Xian^*; Guo Jing Jing

来源：Linear Algebra and Its Applications, 2013, 439(8): 2442-2447.

DOI：10.1016/j.laa.2013.06.015

• Graph
• Signless Laplacian matrix
• Spectral radius
• Upper bound

Let G be a simple connected graph of order n with degree sequence d(1), d(2), ... , d(n) in non-increasing order. The signless Laplacian spectral radius rho(Q(G)) of G is the largest eigenvalue of its signless Laplacian matrix Q (G). In this paper, we give a sharp upper bound on the signless Laplacian spectral radius rho(Q(G)) in terms of d(i), which improves and generalizes some known results.

• 出版日期2013-10-15
• 单位浙江师范大学