  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.
