3 problems
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Admissibility preservation conjecture for mutation classes of acyclic diagrams
Admissibility preservation conjecture. Admissibility is preserved in the mutation class of any acyclic diagram.
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Mutation preservation of admissibility for acyclic diagrams
Mutation-admissibility conjecture. The mutated matrix is also admissible.
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Quasi-Cartan companion conjecture for mutation classes of acyclic diagrams
Quasi-Cartan companion conjecture. Any diagram in the mutation class of an acyclic diagram has an admissible quasi-Cartan companion which is equivalent to a generalized Cartan matr…