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Cardinality of $\ell_1$-Segments and Genocchi Numbers (1304.5798v1)
Published 21 Apr 2013 in math.CO
Abstract: We prove that the Genocchi numbers of first and second kind give the cardinality of certain segments in permutation spaces, with respect to the $\ell_1$-distance. Experimental data suggests that those segments have maximal cardinality among all segments in the corresponding spaces.
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