On relations between the modified hyper-Wiener index and some degree-based indices of trees

被引：0

作者：

Altindag, S. B. Bozkurt ^{[1
]}

Milovanovic, I. ^{[2
]}

Milovanovic, E. ^{[2
]}

机构：

[1] Selcuk Univ, Fac Sci, Dept Math, Konya, Turkiye

[2] Univ Nis, Fac Elect Engn, Nish, Serbia

来源：

COMMUNICATIONS IN COMBINATORICS AND OPTIMIZATION | 2024年

关键词：

graph; Laplacian eigenvalues; modified hyper-Wiener index; LAPLACIAN EIGENVALUES; POWERS; SUM; SPECTRUM; GRAPHS;

D O I：

10.22049/cco.2024.29529.2040

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let T be a tree of order n with Laplacian eigenvalues mu (1) >= mu (2) >= <middle dot> <middle dot> <middle dot> >= mu (n-1) > mu (n) = 0. The Wiener index of T is defined as W(T) = n Sigma(n-1)(i=1) 1/mu i . The modified hyper-Wiener index of T is stated in terms of W(T) and Laplacian eigenvalues as WWW (T) = W(T )(2) /2n - n/2 Sigma(n-1)(i=1) 1/mu (2) i . In this study, we present some relations between modified hyper-Wiener index, the first Zagreb index, modified first Zagreb index and inverse degree index of trees when order n and maximal vertex degree of a graph are known

引用

页数：10

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