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math.CO2011
Saturated Domino Coverings
Andrew Buchanan, Tanya Khovanova, Alex Ryba
A domino covering of a board is saturated if no domino is redundant. We introduce the concept of a fragment tiling and show that a minimal fragment tiling always corresponds to a m…
math.CO2011
Sequences of Integers with Missing Quotients and Dense Points Without Neighbors
Tanya Khovanova, Sergei Konyagin
Let A be a pre-defined set of rational numbers. We say a set of natural numbers S is an A-quotient-free set if no ratio of two elements in S belongs to A. We find the maximal asymp…