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Happel–Unger conjecture on connectedness of tilting graphs
Happel–Unger conjecture. The graph $\mathcal{G}_t(\mathcal{H})$ is connected if and only if $\mathcal{H}$ contains no nonzero projective objects.
openhereditary-categories representation-theory tilting-theory
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Happel–Unger conjecture on connectedness of tilting graphs