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Extremal Wiener and Kirchhoff indices of globular caterpillars
International Journal of Quantum Chemistry ( IF 2.3 ) Pub Date : 2019-11-14 , DOI: 10.1002/qua.26096 Luzhen Ye 1
International Journal of Quantum Chemistry ( IF 2.3 ) Pub Date : 2019-11-14 , DOI: 10.1002/qua.26096 Luzhen Ye 1
Affiliation
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The Wiener and Kirchhoff indices of a graph G are two of the most important topological indices in mathematical chemistry. A graph G is called to be a globular caterpillar if G is obtained from a complete graph K
s with vertex set {v1,v2,…, v
s} by attaching n
i pendent edges to each vertex v
i of K
s for some positive integers s and n1,n2,…,n
s, denoted by 
. Let 
be the set of globular caterpillars 
with n vertices (
). In this article, we characterize the globular caterpillars with the minimal and maximal Wiener and Kirchhoff indices among 
, respectively.
中文翻译：
球状毛虫的极值维纳和基尔霍夫指数
图G的Wiener指数和Kirchhoff指数是数学化学中最重要的两个拓扑指数。一个图ģ被称为是一个球状毛虫如果ģ从一个完全图获得ķ小号{顶点集v 1，v 2，...，V小号}通过附着Ñ我侧边缘到每个顶点v我的ķ小号为一些正整数s和n 1，n 2，…，n s，表示为。让被这套球状毛虫与ñ顶点（）。在本文中，我们分别以最小和最大Wiener和Kirchhoff指数来表征球状毛虫。
更新日期：2020-01-07
. Let be the set of globular caterpillars with n vertices (). In this article, we characterize the globular caterpillars with the minimal and maximal Wiener and Kirchhoff indices among , respectively.
中文翻译：
球状毛虫的极值维纳和基尔霍夫指数
图G的Wiener指数和Kirchhoff指数是数学化学中最重要的两个拓扑指数。一个图ģ被称为是一个球状毛虫如果ģ从一个完全图获得ķ小号{顶点集v 1，v 2，...，V小号}通过附着Ñ我侧边缘到每个顶点v我的ķ小号为一些正整数s和n 1，n 2，…，n s，表示为
。让被这套球状毛虫与ñ顶点（）。在本文中，我们分别以最小和最大Wiener和Kirchhoff指数来表征球状毛虫。
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