7 citations · 13 across the 15 of their papers we have counts for
18 papers
On distribution of the depth index on perfect matchings
Yonah Cherniavsky, Yuval Khachatryan-Raziel
We study the restriction of depth index statistic on the set of perfect matchings. In particular, we provide additional combinatorial description of the statistic for perfect match…
A Geometric Interpretation of the Intertwining Number
Mahir Bilen Can, Yonah Cherniavsky, Martin Rubey
We exhibit a connection between two statistics on set partitions, the intertwining number and the depth-index. In particular, results link the intertwining number to the algebraic…
Stirling Posets
Mahir Bilen Can, Yonah Cherniavsky
We define combinatorially a partial order on the set partitions and show that it is equivalent to the Bruhat-Chevalley-Renner order on the upper triangular matrices. By considering…
Enumeration of balanced finite group valued functions on directed graphs
Yonah Cherniavsky, Avraham Goldstein, Vadim E. Levit +1
A group valued function on a graph is called balanced if the product of its values along any cycle is equal to the identity element of the group. We compute the number of balanced…
Hultman Numbers and Generalized Commuting Probability in Finite Groups
Yonah Cherniavsky, Avraham Goldstein, Vadim E. Levit +1
Let be a finite group and be a permutation from . We investigate the distribution of the probabilities of the equality \[ a_{1}a_{2}\cdots a_{n-1}a_{n}=a_{π_{1}}a_{π…
Bruhat Order on Partial Fixed Point Free Involutions
Mahir Bilen Can, Yonah Cherniavsky, Tim Twelbeck
The order complex of inclusion poset of Borel orbit closures in skew-symmetric matrices is investigated. It is shown that is an EL-shellable poset, and furthermore, i…