A Note on Boolean Lattices and Farey Sequences
组合数学
2007-05-23 v2 数论
摘要
We establish monotone bijections between the Farey sequences of order m and the halfsequences of Farey subsequences associated with the rank m elements of the Boolean lattice of subsets of a 2m-set. We also present a few related combinatorial identities.
引用
@article{arxiv.math/0702106,
title = {A Note on Boolean Lattices and Farey Sequences},
author = {Andrey O. Matveev},
journal= {arXiv preprint arXiv:math/0702106},
year = {2007}
}
备注
8 pages; published version