Autor:	Danilov, Vladimir I., Karzanov, Alexander V., Koshevoy, Gleb A.
Rok vydání:	2019
Předmět:	Mathematics - Combinatorics 05E10 05B45
Druh dokumentu:	Working Paper
Popis:	For an odd integer $r>0$ and an integer $n>r$, we introduce a notion of weakly $r$-separated collections of subsets of $[n]=\{1,2,\ldots,n\}$. When $r=1$, this corresponds to the concept of weak separation introduced by Leclerc and Zelevinsky. In this paper, extending results due to Leclerc-Zelevinsky, we develop a geometric approach to establish a number of nice combinatorial properties of maximal weakly r-separated collections. As a supplement, we also discuss an analogous concept when $r$ is even. Comment: 28 pages, 3 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1904.09798 Zobrazit plný text záznamu View this record from Arxiv