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arXiv · 2405.04703

A note on non-regular Bonnet-Myers Sharp Graphs

David Cushing·Adam J. Stone
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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.

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David Cushing, Adam J. Stone. 2024-05-07. A note on non-regular Bonnet-Myers Sharp Graphs. https://arxiv.org/abs/2405.04703

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