Nonexistence of a Kruskal–Katona type theorem for double-sided shadow minimization in the Boolean cube layer
30 maj 2014
O artykule
Data publikacji: 30 maj 2014
Zakres stron: 53 - 62
Otrzymano: 05 lut 2013
DOI: https://doi.org/10.2478/ausi-2014-0004
Słowa kluczowe
© 2014
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A double-sided shadow minimization problem in the Boolean cube layer is investigated in this paper. The problem is to minimize the size of the union of the lower and upper shadows of a k-uniform family of subsets of [n]. It is shown that if 3 ⋜ k ⋜ n−3, there is no total order such that all its initial segments have minimal double-sided shadow.