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On ordering bicyclic graphs with respect to the Laplacian spectral radius

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成果类型:
期刊论文
作者:
Li, Shuchao;Simic, Slobodan K.*;Tosic, Dejan V.;Zhao, Qin
通讯作者:
Simic, Slobodan K.
作者机构:
[Li, Shuchao; Zhao, Qin] Cent China Normal Univ, Fac Math & Stat, Wuhan 430079, Peoples R China.
[Simic, Slobodan K.] SANU, Math Inst, Belgrade 11000, Serbia.
[Tosic, Dejan V.] Univ Belgrade, Sch Elect Engn, Belgrade 11000, Serbia.
[Simic, Slobodan K.] SANU, Math Inst, Kneza Mihaila 36, Belgrade 11000, Serbia.
通讯机构:
[Simic, Slobodan K.] S
SANU, Math Inst, Kneza Mihaila 36, Belgrade 11000, Serbia.
语种:
英文
关键词:
Bicyclic graph;Laplacian spectral radius;Spectral ordering
期刊:
Applied Mathematics Letters
ISSN:
0893-9659
年:
2011
卷:
24
期:
12
页码:
2186-2192
基金类别:
Financially supported by self-determined research funds of CCNU from the colleges’ basic research and operation of MOE ( CCNU09Y01005 ), Hubei Key Laboratory of Mathematical Sciences and the Serbian Ministry for Science (grant 144015G ).
机构署名:
本校为第一机构
院系归属:
数学与统计学学院
摘要:
A connected graph of order n is bicyclic if it has n+1 edges. He et al. [C.X. He, J.Y. Shao, J.L. He, On the Laplacian spectral radii of bicyclic graphs, Discrete Math. 308 (2008) 59815995] determined, among the n-vertex bicyclic graphs, the first four largest Laplacian spectral radii together with the corresponding graphs (six in total). It turns that all these graphs have the spectral radius greater than n-1. In this paper, we first identify the remaining n-vertex bicyclic graphs (five in total) whose Laplacian spectral radius is greater than...

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