English

The maximum Wiener index of a uniform hypergraph

Combinatorics 2023-02-20 v1

Abstract

The Wiener index of a (hyper)graph is calculated by summing up the distances between all pairs of vertices. We determine the maximum possible Wiener index of a connected nn-vertex kk-uniform hypergraph and characterize for every~nn all hypergraphs attaining the maximum Wiener index.

Keywords

Cite

@article{arxiv.2302.08686,
  title  = {The maximum Wiener index of a uniform hypergraph},
  author = {Stijn Cambie and Ervin Győri and Nika Salia and Casey Tompkins and James Tuite},
  journal= {arXiv preprint arXiv:2302.08686},
  year   = {2023}
}
R2 v1 2026-06-28T08:42:28.943Z