On acyclic conjugated molecules with minimal energies

被引:103
作者
Zhang, F
Li, H [1 ]
机构
[1] Xiamen Univ, Dept Math, Xiamen 361005, Peoples R China
[2] Zhengzhou Univ, Dept Math, Zhengzhou 450052, Peoples R China
关键词
D O I
10.1016/S0166-218X(98)00152-8
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The energy of a graph is defined as the sum of the absolute values of all eigenvalues of the graph. In [5] Gutman (J. Math. Chem.1 (1987) 123-143) proposes two conjectures about the minimum of the energy of conjugated trees (trees with a perfect matching). This paper mathematically verifies the two conjectures. In addition, trees with the second and the third smallest energies are also discussed. (C) 1999 Published by Elsevier Science B.V. All rights reserved.
引用
收藏
页码:71 / 84
页数:14
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