DISTANCE SPECTRA OF H-JOIN GRAPHS

被引：1

作者：

Pokorny, M. ^{[1
]}

Hic, P. ^{[1
]}

机构：

[1] Trnava Univ, Fac Educ, Priemyselna 4,POB 9, Trnava 91843, Slovakia

来源：

ADVANCES AND APPLICATIONS IN DISCRETE MATHEMATICS | 2016年 / 17卷 / 03期

关键词：

distance spectrum; distance energy; H-join of graphs; distance regular graph; distance integral graph; equienergetic graphs;

D O I：

10.17654/DM017030305

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A distance spectrum of a graph is a set of eigenvalues of its distance matrix. A distance energy, which is a useful molecular descriptor in QSPR modelling, is the sum of absolute values of distance eigenvalues. In the paper, we consider H-join on graphs, where H is an arbitrary graph. In terms of distance matrix, we determine the D-spectra of graphs obtained by this operation on distance regular graphs of diameter at most 2. Some additional consequences on D-spectral radius, D-integral graphs, D-cospectral graphs, D-equienergetic graphs, etc. are also obtained.

引用

页码：305 / 321

页数：17

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