In this paper we exploit binary tree representations of permutations to give a combinatorial proof of Purtill's result [8] that where A n is the set of Andrรฉ permutations, v cd (ฯ ) is the cd-statistic of an Andrรฉ permutation and v ab (ฯ ) is the ab-statistic of a permutation. Using Purtill's proof
New permutation statistics: Variation and a variant
โ Scribed by Toufik Mansour; Chunwei Song
- Book ID
- 108112802
- Publisher
- Elsevier Science
- Year
- 2009
- Tongue
- English
- Weight
- 358 KB
- Volume
- 157
- Category
- Article
- ISSN
- 0166-218X
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
We define new Mahonian statistics, called MAD, MAK, and ENV, on words. Of these, ENV is shown to equal the classical INV, that is, the number of inversions, while for permutations MAK has been already defined by Foata and Zeilberger. It ลฝ . ลฝ . is shown that the triple statistics des, MAK, MAD and e
The classical analysis of minisatellite variant repeat (MVR) variation using modular structures is limited by the lack of knowledge of the mutational process involved in the evolution of most of the minisatellites. In this study a new method to measure MVR variation and to calculate genetic distance
Epidemiologically oriented research often may not do without observational or only partially controlled studies. In many such situations both qualitative characteristics and quantitative ones are observed. I n literature there are different methoda of handling such problems. The paper presents a met
In the present paper, we estimate the rate of pointwise convergence of the Bรฉzier Variant of Chlodowsky operators C n, for functions, defined on the interval extending infinity, of bounded variation. To prove our main result, we have used some methods and techniques of probability theory.