4 citations · 7 across the 4 of their papers we have counts for
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A combinatorial proof of strict unimodality for -binomial coefficients
Vivek Dhand
Pak and Panova recently proved that the -binomial coefficient is a strictly unimodal polynomial in for , via the representation theory of the…
Rank-unimodality of Young's lattice via explicit chain decomposition
Vivek Dhand
Young's lattice consists of partitions having parts of size at most , ordered by inclusion of the corresponding Ferrers diagrams. K. O'Hara gave the first construct…
Tropical decomposition of Young's partition lattice
Vivek Dhand
Young's partition lattice consists of unordered partitions having parts where each part is at most . Using methods from complex algebraic geometry, R. Stanley prove…
Symmetric chain decomposition of necklace posets
Vivek Dhand
A finite ranked poset is called a symmetric chain order if it can be written as a disjoint union of rank-symmetric, saturated chains. If is any symmetric chain order, we prove…