Cardinality of ell₁-Segments and Genocchi Numbers
classification
🧮 math.CO
keywords
segmentscardinalitygenocchinumbersspacescertaincorrespondingdata
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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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