Zobrazeno 1 - 10
of 73
pro vyhledávání: '"Oh, Suho"'
Autor:
Oh, Suho, Richmond, Edward
In this chapter, we give an overview of Billey-Postnikov (BP) decompositions which have become an important tool for understanding the geometry and combinatorics of Schubert varieties. BP decompositions are factorizations of Coxeter group elements wi
Externí odkaz:
http://arxiv.org/abs/2409.03096
We study the difference between the number of facets of the order polytope and the chain polytope of a poset. Hibi and Li classified posets where the gap is exactly zero. We describe the bounds on this gap using the new notion of crossing numbers, an
Externí odkaz:
http://arxiv.org/abs/2405.17646
We study chip-firing on a signed graph $G_\phi$, employing a general theory of chip-firing on invertible matrices introduced by Guzm\'an and Klivans. Here a negative edge designates an adversarial relationship, so that firing a vertex incident to suc
Externí odkaz:
http://arxiv.org/abs/2306.09315
The Demazure product (also goes by the name of 0-Hecke product or the greedy product) is an associative operation on Coxeter groups with interesting properties and important applications. In this note, we study permutations and present an efficient w
Externí odkaz:
http://arxiv.org/abs/2303.03618
Autor:
Oh, Suho, Richmond, Edward
In this paper, we study the decomposition of Bruhat intervals in a Coxeter group with respect to cosets of a parabolic subgroup. Our main result is that the intersection of a lower Bruhat interval with a parabolic coset contains a unique maximal elem
Externí odkaz:
http://arxiv.org/abs/2204.11959
A well-known conjecture of Stanley is that the h-vector of any matroid is a pure O-sequence. There have been numerous papers with partial progress on this conjecture, but it is still wide open. Positroids are special class of linear matroids that pla
Externí odkaz:
http://arxiv.org/abs/2112.05243
A well-known conjecture of Stanley is that the h-vector of a matroid is a pure O-sequence. There have been numerous papers with partial progress on this conjecture, but it is still wide open. In particular, for graphic matroids coming from taking the
Externí odkaz:
http://arxiv.org/abs/2109.01233
Publikováno v:
SIAM J. Discrete Math. 36, Iss. 2 (2022)
We say that a pure $d$-dimensional simplicial complex $\Delta$ on $n$ vertices is \emph{shelling completable} if $\Delta$ can be realized as the initial sequence of some shelling of $\Delta_{n-1}^{(d)}$, the $d$-skeleton of the $(n-1)$-dimensional si
Externí odkaz:
http://arxiv.org/abs/2011.12225
If one attaches shifted copies of a skew tableau to the right of itself and rectifies, at a certain point the copies no longer experience vertical slides, a phenomenon called tableau stabilization. While tableau stabilization was originally developed
Externí odkaz:
http://arxiv.org/abs/2009.02644
Autor:
Cranford, Preston, Dochtermann, Anton, Haithcock, Evan, Marsh, Joshua, Oh, Suho, Truman, Anna
Publikováno v:
Electron. J. Combin. 28 Issue 4 (2021), P4.31
A well-known conjecture of Richard Stanley posits that the $h$-vector of the independence complex of a matroid is a pure ${\mathcal O}$-sequence. The conjecture has been established for various classes but is open for graphic matroids. A biconed grap
Externí odkaz:
http://arxiv.org/abs/2005.09138