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The dependence of graph energy on network structure

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成果类型:
期刊论文、会议论文
作者:
Zhu, Y.*;Li, W.;Wang, Q. A.;Cai, X.
通讯作者:
Zhu, Y.
作者机构:
[Wang, Q. A.; Zhu, Y.] LUNAM Univ, ISMANS, F-72000 Le Mans, France.
[Li, W.; Cai, X.; Zhu, Y.] Cent China Normal Univ, Complex Sci Ctr, Wuhan 430079, Peoples R China.
[Li, W.; Cai, X.; Zhu, Y.] Cent China Normal Univ, Inst Particle Phys, Wuhan 430079, Peoples R China.
[Wang, Q. A.; Zhu, Y.] Univ Maine, UMR CNRS 6283, IMMM, F-72085 Le Mans, France.
[Li, W.] Max Planck Inst Math Sci, D-04103 Leipzig, Germany.
通讯机构:
[Zhu, Y.] L
LUNAM Univ, ISMANS, 44 Av Bartholdi, F-72000 Le Mans, France.
语种:
英文
期刊:
Journal of Physics: Conference Series
ISSN:
1742-6588
年:
2015
卷:
604
期:
1
会议名称:
4th International Workshop on Statistical Physics and Mathematics for Complex Systems (SPMCS)
会议论文集名称:
Journal of Physics Conference Series
会议时间:
OCT 12-16, 2014
会议地点:
Yichang, PEOPLES R CHINA
会议主办单位:
[Zhu, Y.;Wang, Q. A.] LUNAM Univ, ISMANS, F-72000 Le Mans, France.^[Zhu, Y.;Li, W.;Cai, X.] Cent China Normal Univ, Complex Sci Ctr, Wuhan 430079, Peoples R China.^[Zhu, Y.;Li, W.;Cai, X.] Cent China Normal Univ, Inst Particle Phys, Wuhan 430079, Peoples R China.^[Zhu, Y.;Wang, Q. A.] Univ Maine, UMR CNRS 6283, IMMM, F-72085 Le Mans, France.^[Li, W.] Max Planck Inst Math Sci, D-04103 Leipzig, Germany.
主编:
Wang, A Abe, S Li, W
出版地:
DIRAC HOUSE, TEMPLE BACK, BRISTOL BS1 6BE, ENGLAND
出版者:
IOP PUBLISHING LTD
机构署名:
本校为其他机构
院系归属:
物理科学与技术学院
摘要:
In this paper, we aim at investigating how the energy of a graph depends upon its underlying topological structure for regular and sparse scale free networks. Firstly, the spectra and energies of some simple regular graphs are calculated exactly and an exact expression is derived for the eigenvalues of adjacency matrix of regular graphs with degree k being given by k = 2a(a = 1, 2, 3,&mellip;). It is also found that a graph with k being about 0.8N owns the largest energy for the regular graphs with the same size and the same generating method used in this paper. Furthermore, we investigate the...

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