Publication date
January 2002
DOI Publisher
Elsevier BV:PO Box 211, 1000 AE Amsterdam Netherlands:011 31 20 4853757, 011 31 20 4853642, 011 31 20 4853641, EMAIL: nlinfo-f@elsevier.nl, INTERNET: http://www.elsevier.nl, Fax: 011 31 20 4853598 ISSN
0012-365X Citation count (estimate)
2Abstract
In this paper we study some properties of the inversion statistic. Some enumerative results concerning the permutations of the multiset {xm1 ; xm2} with respect to the inversion parameter are established and it is shown that these depend on gcd(m1; m2). Using a “cycle lemma”, a combinatorial proof of the results is given. Moreover, some applications to the Gaussian binomial coe4cient are illustrated
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