# (The) missing Moore graph(s) - uniqueness

In the related literature one often sees the phrase "The missing Moore graph" which (to me) tacitly implies that the missing Moore graph (if exists) is unique.

Is there a result of this type or is or is this just a limitation of words that do not express the fact that there could be nonisomorphic graphs of diameter 2 and degree 57?

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The uniqueness of a Moore graph of degree 57 and diameter 2 is not known. See, for instance, this paper - http://www.sciencedirect.com/science/article/pii/S0024379509003735 - where they refer to the missing Moore graph(s)' to indicate this fact.