3 problems

Antimorphic-digraph tau-sequence conjecture. The $R$-systems associated with antimorphic digraphs possess strong $\tau$-sequences $Y(t)$ with the substitution

Toric-digraph Laurent irreducibility conjecture. The rational functions $Y_v(t)$ are pairwise coprime irreducible polynomials in $\mathbf{x}_V$; more precisely, they are irreducibl…

Octagon-poset tau-sequence conjecture. For each octagon poset $P$, the $R$-system associated with $G(P)$ admits a strong $\tau$-sequence consisting of irreducible Laurent polynomia…