E. Eisenberg

most citedSeparators - a new statistic for permutations

3 citations · 4 across the 3 of their papers we have counts for

collaborators

4 papers

math.CO2020

The poset of king permutations on a cylinder

Eli Bagno, Estrella Eisenberg, Shulamit Reches ans Moriah Sigron

A permutation $σ = [σ_{1}, \dots, σ_{n}] \in S_{n}$ is called a {\em cylindrical king permutation} if $∣ σ_{i + 1} - σ_{i} ∣ > 1$ for each $1 \leq i \leq n - 1$ and $∣ σ_{1} - σ_{n} ∣ > 1$ . The name comes from…

math.CO2020★ 1 cited

Counting King Permutations on the Cylinder

Eli Bagno, Estrella Eisenberg, Shulamit Reches +1

We call a permutation $σ = [σ_{1}, \dots, σ_{n}] \in S_{n}$ a {\em cylindrical king permutation} if $∣ σ_{i} - σ_{i + 1} ∣ > 1$ for each $1 \leq i \leq n - 1$ and $∣ σ_{1} - σ_{n} ∣ > 1$ . We present some results…

math.CO2019★ 3 cited

Separators - a new statistic for permutations

Eli Bagno, Estrella Eisenberg, Shulamit Reches +1

A digit $π_{j}$ in a permutation $π = [π_{1}, \dots, π_{n}] \in S_{n}$ is defined to be a separator of $π$ if by omitting it from $π$ we get a new $2 -$ block. In this work we introduce a new st…

math.CO2019

On the poset of King-Non-Attacking permutations

Eli Bagno, Estrella Eisenberg, Shulamit Reches +1

A king-non-attacking permutation is a permutation $π \in S_{n}$ such that $∣ π (i) - π (i - 1) ∣ \neq = 1$ for each $i \in {2, \dots, n}$ . We investigate the structure of the poset of these perm…