Characteristics polynomial of normalized Laplacian for trees

被引：2

作者：

Banerjee, Anirban ^{[1
,2
]}

Mehatari, Ranjit ^{[1
]}

机构：

[1] Indian Inst Sci Educ & Res, Dept Math & Stat, Kolkata 741246, India

[2] Indian Inst Sci Educ & Res, Dept Biol Sci, Kolkata 741246, India

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2015年 / 271卷

关键词：

Normalized Laplacian; Characteristics polynomial; Tree; Starlike tree; Double Starlike tree; Randic index; CONNECTIVE ECCENTRICITY INDEX; ZAGREB INDEX; RANDIC INDEX; GRAPH; SPECTRUM; ENERGY; ORDER;

D O I：

10.1016/j.amc.2015.09.054

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Here, we find the characteristics polynomial of normalized Laplacian of a tree. The coefficients of this polynomial are expressed by the higher order general Randit' indices for matching, whose values depend on the structure of the tree. We also find the expression of these indices for starlike tree and a double-starlike tree, H-m(p, q). Moreover, we show that two cospectral H-m(p, q) of the same diameter are isomorphic. (C) 2015 Elsevier Inc. All rights reserved.

引用

页码：838 / 844

页数：7

共 30 条

[1]

Abdo H, 2014, MATCH-COMMUN MATH CO, V72, P741

[2]

Alizade Y, 2013, IRAN J MATH CHEM, V4, P257

[3] On the spectrum of the normalized graph Laplacian [J].