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math.CO2026
A probabilistic bijection between twenty-vertex configurations with a free west boundary and Gelfand-Tsetlin patterns avoiding three equal entries in a row
Atsuro Yoshida
We study a coincidence between two enumerations governed by the same product formula, reminiscent of the Robbins numbers: the unweighted enumeration of twenty-vertex configurations…
math.CO2026
Cyclotomic generating functions, empty weighted complete intersections and positivity
Mona Gatzweiler, Fabián Levicán-Santibáñez, Atsuro Yoshida
We give a sufficient combinatorial condition for the non-negativity of the coefficients of polynomial quotients of products of -integers, also known as cyclotomic generating fun…
math.CO2026
More minor summation formulae
Shane Chern, Theresia Eisenkölbl, Ilse Fischer +8
We prove determinantal-Pfaffian formulae that simultaneously generalise the Pfaffian minor summation formula of Ishikawa and Wakayama and Byun's recent minor summation formula. The…