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An inversion number statistic on set partitions. (English) Zbl 1259.05007

Ray Chaudhuri, D. K. (ed.) et al., Extended abstracts from the R. C. Bose centenary symposium on discrete mathematics and applications, Kolkata, India, December 20–23, 2002. Amsterdam: Elsevier. Electronic Notes in Discrete Mathematics 15, 82-84 (2003).
For the entire collection see [Zbl 1109.05014].

MSC:

05A10 Factorials, binomial coefficients, combinatorial functions
05A18 Partitions of sets
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References:

[1] Bennett, C.; Dempsey, K. J.; Sagan, B. E., Partition Lattice \(q\)-analogs related to \(q\)-Stirling Numbers, Journal of Algebraic Combinatorics, 3, 261-283 (1994) · Zbl 0849.05004
[2] Deodhar, R. S.; Srinivasan, M. K., A Statistic on Involutions, Journal of Algebraic Combinatorics, 13, 187-198 (2001) · Zbl 0982.05004
[3] Bowling, T., A \(q\)-analog of the partition lattice, (Srivastava, J. N., A survey of Combinatorial Theory (1973)), North-Holland, Amsterdam
[4] Bowling, T., A class of geometric lattices based on finite groups, Journal of Combinatorial Theory (A), 14, 61-86 (1973) · Zbl 0247.05019
[5] Gessel, I., A \(q\)-analog of the exponential formula, Discrete Mathematics, 40, 69-80 (1982) · Zbl 0485.05004
[6] Gould, H. W., The \(q\)-Stirling numbers of the first and second kinds, Duke Mathematical Journal, 28, 281-289 (1961) · Zbl 0201.33601
[7] Johnson, W. P., A \(q\)-analog of Faa di Bruno’s Formula, Journal of Combinatorial Theory, (A) 76, 305-314 (1996) · Zbl 0860.05008
[8] Johnson, W. P., Some applications of the \(q\)-exponential formula, Discrete Mathematics, 157, 207-225 (1996) · Zbl 0873.05009
[9] Sagan, B. E., A maj statistic for set partitions, European Journal of Combinatorics, 12, 69-79 (1991) · Zbl 0728.05007
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