Peripheral Wiener index of trees and related questions
Peripheral Wiener index of trees and related questions
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DOI：
10.1016/j.dam.2018.05.024
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发表时间：
2018-12
期刊：
影响因子：
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通讯作者：
Ya-Hong Chen;Hua Wang;Xiaodong Zhang
中科院分区：
文献类型：
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作者：
Ya-Hong Chen;Hua Wang;Xiaodong Zhang
基于距离的拓扑指数作为一类图的不变量，受到了广泛的关注。特别地，Wiener指标（所有顶点对之间的距离之和）和终端Wiener指标（所有叶子对之间的距离之和）是化学图论中最知名的两个指标。受这些概念的启发，最近引入了外围Wiener指数，作为所有外围顶点（具有最大偏心率的顶点）之间的距离之和。在这份说明中，我们认为一些有趣的问题，这个新的基于距离的指数，并提出了一些潜在的课题进一步研究。
Distance-based topological indices, as a class of graph invariants, have received much attention. In particular, the Wiener index (sum of distances between all pairs of vertices) and terminal Wiener index (sum of distances between all pairs of leaves) are two of the most well known such indices in Chemical Graph Theory. Inspired by these concepts, the peripheral Wiener index is recently introduced as the sum of distances between all pairs of peripheral vertices (vertices with maximum eccentricity). In this note we consider a number of interesting problems related to this new distance-based index and propose some potential topics for further study.