[HTML][HTML] On the poset of non-attacking king permutations

E Bagno, E Eisenberg, S Reches, M Sigron - European Journal of …, 2020 - Elsevier
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The γ-positivity of bivariate Eulerian polynomials via the Hetyei–Reiner action

H Sun - European Journal of Combinatorics, 2021 - Elsevier
The bivariate Eulerian polynomials are defined by A n (p, q)=∑ π∈ S np odes (π) q edes
(π), where odes (π) and edes (π) are the number of descents of permutation π in odd and …

Blockwise simple permutations

E Bagno, E Eisenberg, S Reches, M Sigron - arXiv preprint arXiv …, 2023 - arxiv.org
A permutation is called {\it {block-wise simple}} if it contains no interval of the form $
p_1\oplus p_2 $ or $ p_1\ominus p_2 $. We present this new set of permutations and …

Upper-triangular linear relations on multiplicities and the Stanley-Stembridge conjecture

M Harada, M Precup - arXiv preprint arXiv:1812.09503, 2018 - arxiv.org
In 2015, Brosnan and Chow, and independently Guay-Paquet, proved the Shareshian-
Wachs conjecture, which links the Stanley-Stembridge conjecture in combinatorics to the …