Title
Peripheral Wiener index of trees and related questions.
Abstract
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.
Year
DOI
Venue
2018
10.1016/j.dam.2018.05.024
Discrete Applied Mathematics
Keywords
Field
DocType
Peripheral Wiener index,Terminal Wiener index,Wiener index,Tree
Chemical graph theory,Discrete mathematics,Graph,Combinatorics,Wiener index,Vertex (geometry),Eccentricity (behavior),Invariant (mathematics),Mathematics
Journal
Volume
ISSN
Citations 
251
0166-218X
0
PageRank 
References 
Authors
0.34
9
3
Name
Order
Citations
PageRank
Ya-Hong Chen121.75
Hua Wang25811.74
Xiao-Dong Zhang3197.31