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cs.DM2026
Touchard-Riordan Polynomials and Schur-positivity of Set Partitions
Eli Bagno, David Garber
A symmetric function is called Schur-positive if it admits an expansion in the Schur basis with nonnegative coefficients. In this paper, we study the Schur-positivity of symmetric…
cs.DM2024
Type-B analogue of Bell numbers using Rota's Umbral calculus approach
Eli Bagno, David Garber
Rota used the functional L to recover old properties and obtain some new formulas for the Bell numbers. Tanny used Rota's functional L and the celebrated Worpitzky identity to obta…
cs.DM2024
Interval Posets and Polygon Dissections
Eli Bagno, Estrella Eisenberg, Shulamit Reches +1
The Interval poset of a permutation is an effective way of capturing all the intervals of the permutation and the inclusions between them and was introduced recently by Tenner. Thi…