Non-overlapping matrices

Published 28 Jan 2016 in cs.DM and math.CO | (1601.07723v1)

Abstract: Two matrices are said non-overlapping if one of them can not be put on the other one in a way such that the corresponding entries coincide. We provide a set of non-overlapping binary matrices and a formula to enumerate it which involves the $k$-generalized Fibonacci numbers. Moreover, the generating function for the enumerating sequence is easily seen to be rational.

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