4 papers
On the Schur-positivity of various sets 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…
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…
Conjugating full cycles by adjacent transpositions: diameter and sorting time
Ron M. Adin, Eli Bagno, Yuval Roichman
We establish upper and lower bounds on the maximal number of steps needed to transform a cyclic permutation to the canonical cyclic permutation using conjugation by adjacent transp…
Geometric view of interval poset permutations
Eli Bagno, Estrella Eisenberg, Shulamit Reches +1
In a recent study by Tenner, the concept of the interval poset of a permutation was introduced to effectively represent all intervals and their inclusions within a permutation. In…