Cardinality of $\ell_1$-Segments and Genocchi Numbers
Combinatorics
2013-04-23 v1
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 -distance. Experimental data suggests that those segments have maximal cardinality among all segments in the corresponding spaces.
Cite
@article{arxiv.1304.5798,
title = {Cardinality of $\ell_1$-Segments and Genocchi Numbers},
author = {Catalin Zara},
journal= {arXiv preprint arXiv:1304.5798},
year = {2013}
}
Comments
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