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math.CO2006★ 16 cited
On the Frobenius Number of Fibonacci Numerical Semigroups
J. M. Marin, J. Ramirez Alfonsin, M. P. Revuelta
In this paper we compute the Frobenius number of certain {\em Fibonacci numerical semigroups}, that is, numerical semigroups generated by a set of Fibonacci numbers, in terms of Fi…
math.CO2006
On tiling rectangles via the Frobenius number
J. Ramirez Alfonsin
In this paper, we give some sufficient conditions for a -dimensional rectangle to be tiled with a set of bricks. These conditions are obtained by using the so-called Frobenius n…