A note on non-regular Bonnet-Myers Sharp Graphs
Combinatorics
2024-05-09 v1
Abstract
Self-centred regular graphs which are Ollivier-Ricci Bonnet-Myers sharp have been completely classified. When the conditions of self-centeredness and regularity are removed it is an open problem on what the classification is. We present a complete classification of Bonnet-Myers sharp graphs with a diameter 2 and show that there exists Bonnet-Myers sharp graphs of diameter 3, 4 and 6 that belong to a family of graphs called symmetrical antitees.
Cite
@article{arxiv.2405.04703,
title = {A note on non-regular Bonnet-Myers Sharp Graphs},
author = {David Cushing and Adam J. Stone},
journal= {arXiv preprint arXiv:2405.04703},
year = {2024}
}