# Uniformly Resolvable Cycle Decompositions with Four Different Factors

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A graph $$G$$ is diameter-2-critical if its diameter is two and the deletion of any edge increases the diameter. Murty and Simon conjectured that the number of edges in a diameter-2-critical graph $$G$$ of order $$n$$ is at most $$\lfloor n^2/4 \rfloor $$ and that the extremal graphs are the...