Two new topological indices based on graph adjacency matrix eigenvalues and eigenvectors

被引：12

作者：

Alberto Rodriguez-Velazquez, Juan ^{[1
,2
]}

Balaban, Alexandru T. ^{[2
]}

机构：

[1] Univ Rovira & Virgili, Dept Engn Informat & Matemat, Av Paisos Catalans 26, E-43007 Tarragona, Spain

[2] Texas A&M Univ Galveston, Fdn Sci, Galveston, TX 77553 USA

来源：

JOURNAL OF MATHEMATICAL CHEMISTRY | 2019年 / 57卷 / 04期

关键词：

Topological index; Balaban index; Estrada index; Graph eigenvalues;

D O I：

10.1007/s10910-019-01008-1

中图分类号：

O6 [化学];

学科分类号：

0703 ;

摘要：

The Estrada topological index EE, based on the eigenvalues of the adjacency matrix, is degenerate for cospectral graphs. By additionally considering the eigenvectors, two new topological indices are devised, which have reduced degeneracy for alkanes or cyclic graphs. Index RVa shows similarity to EE in ordering of alkanes with 8-10 carbon atoms, whereas index RVb is more similar to the average distance-based connectivity (Balaban index J). Inter-correlations between these four topological indices are discussed, indicating which factors have predominant influence.

引用

页码：1053 / 1074

页数：22

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