树T(n,d;n-d-k-1,0,…,0,k)的能量

广东工业大学学报 ›› 2008, Vol. 25 ›› Issue (2): 38-39.

树T(n,d;n-d-k-1,0,…,0,k)的能量

广东工业大学应用数学学院；广东工业大学应用数学学院广东广州510006；广东广州510006；

出版日期:2008-06-01 发布日期:2008-06-01

The Energy of T(n,d;n-d-k-1,0,…,0,k)

Faculty of Applied Mathematics,Guangdong University of Technology,Guangzhou 510006,China

Online:2008-06-01 Published:2008-06-01

摘要/Abstract

摘要： 设λ1,λ2,…,λn是n阶图G的特征值,图G的能量定义为图的特征值的绝对值的和.利用图的特征多项式以及图的偏序关系比较,讨论了树T(n,d;n-d-k-1,0,…,0,k)的能量随参数k的变化依次变化的规律.

关键词: 能量；树；偏序关系；

Abstract: The energy of graph G with n vertices is defined as the sum of the absolute valuels of all the eigenvalues of the graph.It discusses the energy of T(n,d;n-d-k-1,0,…,0,k)which gradually changes with parameter k.

Key words: energy； tree； quasi-order relation.；

白建甜；郭大昌； . 树T(n,d;n-d-k-1,0,…,0,k)的能量[J]. 广东工业大学学报, 2008, 25(2): 38-39.

Bai Jian-tian,Guo Da-chang. The Energy of T(n,d;n-d-k-1,0,…,0,k)[J]. Journal of Guangdong University of Technology, 2008, 25(2): 38-39.

参考文献

[1] Zhang F,,Li Z,Wang L.Hexagonalchains with minimaltotalπ-energy. Chemical Physics Letters . 2001

[2] Cvetkovic D,,Doob M,Sachs H.Spectra of Graphs. . 1995

[3] Gutman I.Acyclic systems with extremal Huckelπ-electron energy. Theoretica Chimica Acta . 1977

[4] Yan W G,,Ye L Z.On the minimal energy of trees with a given diameter. Applied Mathematics Letters . 2005

[5] Ivan Gutman. Acyclic systems with extremal Hückel π-electron energy[J] ,1977

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