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University proceedings. Volga region. Physical and mathematical sciences, 2010, Issue 4, Pages 50–63
(Mi ivpnz654)
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This article is cited in 1 scientific paper (total in 1 paper)
Mathematics
Parametric combinatorial problems and methods of their research
L. N. Bondarenkoa, M. L. Sharapovab a Penza State University, Penza
b Moscow State University named after M. V. Lomonosov, Moscow
Abstract:
Four combinatorial problems parametrized by multiplicity r of an element of base multiset are considered: distribution of indexes vp-monotonous permutations, the generalized Gessel - Stanley permutations and the generalized Baclawski - Edelman partially ordered sets, the generalized Stirling numbers and the generalized partially ordered sets of the partitions, the generalized statistics and generalized Eulerian polynomials. For research of these problems various methods are involved.
Keywords:
multiset, statistic, generating function, vp-monotonous permutations, Gessel - Stanley permutations, Baclawski - Edelman posets, Stirling numbers, posets partitions, Eulerian polynomials.
Citation:
L. N. Bondarenko, M. L. Sharapova, “Parametric combinatorial problems and methods of their research”, University proceedings. Volga region. Physical and mathematical sciences, 2010, no. 4, 50–63
Linking options:
https://www.mathnet.ru/eng/ivpnz654 https://www.mathnet.ru/eng/ivpnz/y2010/i4/p50
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Abstract page: | 18 | Full-text PDF : | 8 | References: | 7 |
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