The Graovac-Pisanski index of Sierpinski graphs

被引：2
|
作者：
Fathalikhani, Khadijeh [1 ]
Babai, Azam [2 ]
Zemljic, Sara Sabrina [3 ,4 ,5 ]
机构：
[1] Univ Kashan, Fac Math Sci, Dept Pure Math, Kashan 8731753153, Iran
[2] Univ Qom, Dept Math, Qom, Iran
[3] Comenius Univ, Bratislava, Slovakia
[4] Inst Math Phys & Mech, Ljubljana, Slovenia
[5] Fac Math Nat Sci & Informat Technol, Koper, Slovenia
来源：
DISCRETE APPLIED MATHEMATICS | 2020年 / 285卷
关键词：
Sierpinski graphs; Graovac-Pisanski index; Distances; Automorphisms; Recursion; WIENER INDEX; TREES;
D O I：
10.1016/j.dam.2020.05.014
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Chemical indices of graphs have been studied intensively in the recent years and some generalizations of old indices are very useful in chemical research. In this paper we study Graovac-Pisanski index (sometimes known as modified Wiener index) which is denoted by (W) over cap. We derive recursive and closed formula for the Graovac-Pisanski index of the classical Sierpiriski graphs (i.e., the Sierpiriski graphs with base 3, S-3(n)). (C) 2020 Elsevier B.V. All rights reserved.
引用
收藏
页码：30 / 42
页数：13
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