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09/14/2022
On Layer-Rainbow Latin Cubes Containing Layer-Rainbow Latin Cubes
Despite the fact that latin cubes have been studied since in the 1940's,...
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09/14/2022
Embedding Irregular Colorings into Connected Factorizations
For r:=(r_1,…,r_k), an r-factorization of the complete λ-fold h-uniform ...
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09/14/2022
Ryser's Theorem for Symmetric ρ-latin Squares
Let L be an n× n array whose top left r× r subarray is filled with k dif...
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05/04/2022
Symmetric Layer-Rainbow Colorations of Cubes
Can we color the n^3 cells of an n× n× n cube L with n^2 colors in such ...
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03/23/2022
On Factors with Prescribed Degrees in Bipartite Graphs
We establish a new criterion for a bigraph to have a subgraph with presc...
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02/04/2021
Factorizations of Complete Multipartite Hypergraphs
In a mathematics workshop with mn mathematicians from n different areas,...
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02/04/2021
Extending Edge-colorings of Complete Hypergraphs into Regular Colorings
Let Xh be the collection of all h-subsets of an n-set X⊇ Y. Given a colo...
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09/21/2020
On Regular Set Systems Containing Regular Subsystems
Let X,Y be finite sets, r,s,h, λ∈ℕ with s≥ r, X⊊ Y. By λXh we mean the c...
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09/21/2020
Connected Fair Detachments of Hypergraphs
Let 𝒢 be a hypergraph whose edges are colored. An (α,n)-detachment of 𝒢 ...
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09/20/2019
