Steiner Wiener Index and Line Graphs of Trees

IF 1 Q1 MATHEMATICS

Discrete Mathematics Letters Pub Date : 2022-04-01 DOI:10.47443/dml.2021.s214

M. Kovse, Valisoa Razanajatovo Misanantenaina, S. Wagner

引用次数: 0

Abstract

A classical theorem due to Buckley [ Congr. Numer. 32 (1981) 153–162] relates the Wiener index of a tree with the Wiener index of its line graph by a simple identity. We generalise this identity to the Steiner Wiener index and also use related ideas to resolve a problem due to Kovˇse, Rasila and Vijayakumar [ AKCE Int. J. Graphs Comb. 17 (2020) 833–840] on the minimum value of the Steiner Wiener index of line graphs of trees.

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Steiner Wiener指数与树的线图

Buckley的一个经典定理[Congr.Numer.32（1981）153–162]通过一个简单的恒等式将树的维纳指数与其线图的维纳指数联系起来。我们将这个恒等式推广到Steiner Wiener指数，并使用相关思想来解决Kov se、Rasila和Vijayakumar[AKCE Int.J.Graphs Comb.17（2020）833–840]关于树的线图的Steiner Wigner指数的最小值的问题。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Discrete Mathematics Letters Mathematics-Discrete Mathematics and Combinatorics

CiteScore

1.50

自引率

12.50%

发文量

审稿时长

12 weeks