Unimodality and the Reflection Principle
نویسنده
چکیده
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.
منابع مشابه
Unimodality and the Reeection Principle
We show how lattice paths and the re ection 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 coe cients. Other examples include products of binomial coe cients, polynomials related to the Legendre polynomials, and a result connected to a conjecture of Simion.
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ورودعنوان ژورنال:
- Ars Comb.
دوره 48 شماره
صفحات -
تاریخ انتشار 1998