標題: A characterization of strongly regular graphs in terms of the largest signless Laplacian eigenvalues
作者: Fan, Feng-lei
Weng, Chih-wen
應用數學系
Department of Applied Mathematics
關鍵字: Signless Laplacian matrix;Strongly regular graphs
公開日期: 1-Oct-2016
摘要: Let G be a simple graph of order n with maximum degree Delta. Let lambda (resp. mu) denote the maximum number of common neighbors of a pair of adjacent vertices (resp. nonadjacent distinct vertices) of G. Let q(G) denote the largest eigenvalue of the signless Laplacian matrix of G. We show that q(G) <= Delta - mu/4 + root(Delta - mu/4)(2) + (1 + lambda)Delta + mu(n - 1) -Delta(2), with equality if and only if G is a strongly regular graph with parameters (n, Delta, lambda, mu). (C) 2016 Elsevier Inc. All rights
URI: http://dx.doi.org/10.1016/j.laa.2016.05.009
http://hdl.handle.net/11536/134055
ISSN: 0024-3795
DOI: 10.1016/j.laa.2016.05.009
期刊: LINEAR ALGEBRA AND ITS APPLICATIONS
Volume: 506
起始頁: 1
結束頁: 5
Appears in Collections:Articles