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- W2065012440 abstract "The purpose of this paper is to present some enumerative results concerning the class Ik of permutations of the multiset {1m1, 2m2,…,rmr} having inversion number congruent to k modulo n, with n = m1 + m2 + ··· + mr and 0 ≤ k < n. We show that the enumeration of this family of permutations is connected to gcd(m1, m2,…,mr), and if gcd(m1, m2,…,mr) = 1, then |Ik|=1nnm1,m2,…,mr, for each 0 ≤ k < n. Finally, some applications of these properties concerning the q-multinomial coefficient are found." @default.
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- W2065012440 date "2001-07-01" @default.
- W2065012440 modified "2023-09-27" @default.
- W2065012440 title "An Equipartition Property for the Distribution of Multiset Permutation Inversions" @default.
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- W2065012440 doi "https://doi.org/10.1006/aama.2001.0725" @default.
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