Apr 22, 2019 · 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 ...
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 , … , n } .
We develop a geometric approach to establish a number of nice combinatorial properties of maximal weakly r-separated collections.
Jul 16, 2019 · For example, {1, 2, 6} and {2, 3, 4, 5} are weakly 1-separated, whereas {1, 2, 5, 6, 7} and {1, 3, 4, 5} are 3-interlaced (having the interval ...
Abstract. For an odd integer $r>0$ and an integer $n>r$, we introduce a notion of weakly $r$-separated collections of subsets of $[n]=\{1,2,\ldots,n\}$.
The weak separation in higher dimensions · V. Danilov, A. Karzanov, G. Koshevoy · Published in Journal of Combinatorial… 22 April 2019 · Mathematics.
The notion of weak separation is generalized in [5] Accordingly, a collection W ⊆ 2 [n] is called weakly separated if any two sets in it are such. When r = 1, ...
For an odd integer $r>0$ and an integer $n>r$, we introduce a notion of weakly $r$-separated collections of subsets of $[n]=\{1,2,\ldots,n\}$.
The open set condition is a classical separation. Page 5. Weak separation condition, Assouad dimension, and Furstenberg homogeneity. 469 condition introduced ...
We would like to estimate how close they are to being weakly separated. In a more general sense, it would be beneficial to have a notion that would measure how ...
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