Results 221 to 230 of about 520,160 (245)

Postnikov–Stanley Linial arrangement conjecture

open access: yesJournal of Algebraic Combinatorics, 2020
A characteristic polynomial is an important invariant in the field of hyperplane arrangement. For the Linial arrangement of any irreducible root system, Postnikov and Stanley conjectured that all roots of the characteristic polynomial have the same real ...
Shigetaro Tamura
semanticscholar   +3 more sources

Stanley's Conjecture on the Schur Positivity of Distributive Lattices

open access: yesSIAM Journal on Discrete Mathematics
In this paper we solve an open problem on distributive lattices, which was proposed by Stanley in 1998. This problem was motivated by a conjecture due to Griggs, which equivalently states that the incomparability graph of the boolean algebra $B_n$ is ...
Grace M. X. Li   +3 more
semanticscholar   +3 more sources

Excluded permutation matrices and the Stanley–Wilf conjecture

open access: yesJournal of Combinatorial Theory - Series A, 2004
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Gábor Tardos
exaly   +3 more sources
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Stanley's Simplicial Poset Conjecture, After M. Masuda

Communications in Algebra, 2006
ABSTRACT M. Masuda recently provided the missing piece proving a conjecture of R.P. Stanley on the characterization of f-vectors for Gorenstein∗ simplicial posets. We propose a slight simplification of Masuda's proof.
Ezra Miller, Vic Reiner
openaire   +1 more source

A Converse to Stanley's Conjecture for Sl 2

Proceedings of the American Mathematical Society, 1994
Let \(G = Sl(V)\) where \(V\) is a two-dimensional vector space over an algebraically closed field \(k\) of characteristic zero. Define \(W = \bigoplus^ m_{i=1} S^{d_ i}V\), \(d = \dim W = \sum (d_ i + 1)\), and \(R = SW\), where \(SW\) denotes the symmetric algebra of \(W\).
openaire   +2 more sources

Bacillus subtilis biofilm formation and social interactions

Nature Reviews Microbiology, 2021
Sofia Arnaouteli   +2 more
exaly  

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