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JCT
2011
13 years 4 months ago
2011
This article is devoted to the study of continuous colorings of the n-element subsets of a Polish space. The homogeneity number hm(c) of an n-coloring c : [X]n → 2 is the least s...
JCT
2011
13 years 15 days ago
2011
Abstract. Norton and Stein associated a number with each idempotent quasigroup or diagonalized Latin square of given finite order n, showing that it is congruent mod 2 to the tria...
JCT
2011
13 years 4 months ago
2011
Let W be a finite reflection group. For a given w ∈ W, the following assertion may or may not be satisfied: (∗) The principal Bruhat order ideal of w contains as many elemen...
JCT
2011
13 years 4 months ago
2011
A non-crossing pairing on a bitstring matches 1s and 0s in a manner such that the pairing diagram is nonintersecting. By considering such pairings on arbitrary bitstrings 1n1 0m1 ....
JCT
2011
13 years 4 months ago
2011
Abstract. Based on the ideas in [CKP], we introduce the weighted analogue of the branching rule for the classical hook length formula, and give two proofs of this result. The firs...