The Terminal Wiener Index of Trees with Diameter or Maximum Degree
Combinatorics
2015-10-13 v1
Abstract
The terminal Wiener index of a tree is the sum of distances for all pairs of pendent vertices, which recently arises in the study of phylogenetic tree reconstruction and the neighborhood of trees. This paper presents a sharp upper and lower bounds for the terminal Wiener index in terms of its order and diameter and characterizes all extremal trees which attain these bounds. In addition, we investigate the properties of extremal trees which attain the maximum terminal Wiener index among all trees of order with fixed maximum degree.
Cite
@article{arxiv.1510.03126,
title = {The Terminal Wiener Index of Trees with Diameter or Maximum Degree},
author = {Ya-Hong Chen and Xiao-Dong Zhang},
journal= {arXiv preprint arXiv:1510.03126},
year = {2015}
}
Comments
15 pages, 1 figure