AbstractIn this paper we study some properties of the inversion statistic. Some enumerative results concerning the permutations of the multiset {x1m1,x2m2} 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 coefficient are illustrated
Let [n] = {1, 2, 3,..., n} be the set of the first n positive integers. A permutation π is a biject...
AbstractThe definitions of descent, excedance, major index, inversion index and Denert's statistics ...
AbstractWe propose a major index statistic on 01-fillings of moon polyominoes which, when specialize...
In this paper we study some properties of the inversion statistic. Some enumerative results concerni...
We present some enumerative results concerning the permutations of the multiset {x_1^{m_1},...,x_r^{...
The purpose of this paper is to present some enumerative results concerning the class View the MathM...
AbstractThe purpose of this paper is to present some enumerative results concerning the class Ik of ...
AbstractThe inversion number and the major index are equidistributed on the symmetric group. This is...
Permutations consisting of a single cycle are considered. EDELMAN (1987) proved that such permutatio...
In this paper, new variations of some well-known permutation statistics are introduced and studied. ...
AbstractIn this paper we study permutations of the multiset {1r, 2r, …, nr}, which generalizes Gesse...
Abstract. We give a multitype extension of the cycle lemma of (Dvoretzky and Motzkin 1947). This all...
Permutations that avoid given patterns have been studied in great depth for their connections to oth...
AbstractWe define a new combinatorial statistic, maximal-inversion, on a permutation. We remark that...
In 2012, Sagan and Savage introduced the notion of st-Wilf equivalence for a statistic st and for se...
Let [n] = {1, 2, 3,..., n} be the set of the first n positive integers. A permutation π is a biject...
AbstractThe definitions of descent, excedance, major index, inversion index and Denert's statistics ...
AbstractWe propose a major index statistic on 01-fillings of moon polyominoes which, when specialize...
In this paper we study some properties of the inversion statistic. Some enumerative results concerni...
We present some enumerative results concerning the permutations of the multiset {x_1^{m_1},...,x_r^{...
The purpose of this paper is to present some enumerative results concerning the class View the MathM...
AbstractThe purpose of this paper is to present some enumerative results concerning the class Ik of ...
AbstractThe inversion number and the major index are equidistributed on the symmetric group. This is...
Permutations consisting of a single cycle are considered. EDELMAN (1987) proved that such permutatio...
In this paper, new variations of some well-known permutation statistics are introduced and studied. ...
AbstractIn this paper we study permutations of the multiset {1r, 2r, …, nr}, which generalizes Gesse...
Abstract. We give a multitype extension of the cycle lemma of (Dvoretzky and Motzkin 1947). This all...
Permutations that avoid given patterns have been studied in great depth for their connections to oth...
AbstractWe define a new combinatorial statistic, maximal-inversion, on a permutation. We remark that...
In 2012, Sagan and Savage introduced the notion of st-Wilf equivalence for a statistic st and for se...
Let [n] = {1, 2, 3,..., n} be the set of the first n positive integers. A permutation π is a biject...
AbstractThe definitions of descent, excedance, major index, inversion index and Denert's statistics ...
AbstractWe propose a major index statistic on 01-fillings of moon polyominoes which, when specialize...
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