Energy ordering of catacondensed hexagonal systems

被引：29

作者：

Rada, J ^{[1
]}

机构：

[1] Univ Los Andes, Fac Ciencias, Dept Matemat, Merida 5101, Venezuela

来源：

DISCRETE APPLIED MATHEMATICS | 2005年 / 145卷 / 03期

关键词：

energy; hexagonal systems; catacondensed systems; hexagonal chains; cycles; quasi-order;

D O I：

10.1016/j.dam.2004.03.007

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The energy of a graph G is defined as E(G) =Sigma(i)(=1)(n)\lambda(i)\, where lambda(i) (i = 1,..., n) are the eigenvalues of G. In this work we define the coalescence of two graphs with respect to (oriented) edges, and show that for the graphs X and Y in Fig. 2, which are obtained by coalescence of bipartite graphs around the six-vertex cycle C-6, E(X) greater than or equal to E(Y). As a by-product, we give energy ordering relations in the class of catacondensed hexagonal systems. (C) 2004 Elsevier B.V. All rights reserved.

引用

页码：437 / 443

页数：7

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