Unimodality and the reflection principle
组合数学
2007-05-23 v1
摘要
We show how lattice paths and the reflection principle can be used to give easy proofs of unimodality results. In particular, we give a "one-line" combinatorial proof of the unimodality of the binomial coefficients. Other examples include products of binomial coefficients, polynomials related to the Legendre polynomials, and a result connected to a conjecture of Simion.
引用
@article{arxiv.math/9712215,
title = {Unimodality and the reflection principle},
author = {Bruce Sagan},
journal= {arXiv preprint arXiv:math/9712215},
year = {2007}
}
备注
7 pages (plus cover and abstract)