Mathematical aspects of Wiener index
Martin Knor, Riste \v{S}krekovski, Aleksandra Tepeh
TL;DR
This paper reviews mathematical results, conjectures, and open problems related to the Wiener index, a key graph descriptor used in chemistry to measure molecular structure.
Contribution
It summarizes recent research, conjectures, and unresolved problems on the Wiener index, highlighting the authors' involvement in these developments.
Findings
Summary of known results on Wiener index
Discussion of open conjectures and problems
Highlighting the authors' contributions
Abstract
The Wiener index (i.e., the total distance or the transmission number), defined as the sum of distances between all unordered pairs of vertices in a graph, is one of the most popular molecular descriptors. In this article we summarize some results, conjectures and problems on this molecular descriptor, with emphasis on works we were involved in.
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