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- W4288365587 abstract "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." @default.
- W4288365587 created "2022-07-29" @default.
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- W4288365587 date "2019-04-22" @default.
- W4288365587 modified "2023-09-24" @default.
- W4288365587 title "The weak separation in higher dimensions" @default.
- W4288365587 doi "https://doi.org/10.48550/arxiv.1904.09798" @default.
- W4288365587 hasPublicationYear "2019" @default.
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