Schur-Positive sets
In this thesis we prove Schur-positivity of certain graph families. In addition, we exlpor existence of cyclic descent extensions on several families of Schur-positive sets.
math.CO↗
arXiv subjects
Yuval Khachatryan-Raziel
Publications and source records attributed to Yuval Khachatryan-Raziel.
On distribution of the depth index on perfect matchings
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 matchings and calculate the generating polynomial. The main result of the present short paper is that the depth index on perfect matchings is equidistributed with the rank function of the Bruhat order.
math.CO↗