期刊
LINEAR ALGEBRA AND ITS APPLICATIONS
卷 432, 期 2-3, 页码 505-514出版社
ELSEVIER SCIENCE INC
DOI: 10.1016/j.laa.2009.08.025
关键词
Bounds; Spread; Eigenvalues; Unicyclic graph
资金
- South China Agricultural University [4900-k08225]
- NNSF of China [10771080]
- SRFDP of China [20070574006]
The signiess Laplacian spread of G is defined as SQ(G) = mu(1) (G) - mu(n) (G), where It mu(1) (G) and mu(n) (G) are the maximum and minimum eigenvalues of the signless Laplacian matrix of G, respectively. This paper presents some upper and lower bounds for SQ(G). Moreover, the unique unicyclic graph with maximum signless Laplacian spread among the class of connected unicyclic graphs of order n is determined. (C) 2009 Elsevier Inc. All rights reserved.
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