SELECTED PUBLICATIONS IN ENUMERATIVE COMBINATORICS AND PROBABILITY

Carl G. Wagner, Professor Emeritus of Mathematics and Adjunct Professor of Philosophy
The University of Tennessee (cwagner@tennessee.edu)

Articles

24. (2012) Power hyper-sums enumerate quasi-monotone functions, Pure Mathematics and Applications, 23, 155-60. (with M. Shattuck) (pdf)
23. (2010) Independence preservation in expert judgment synthesis, Aequationes Mathematicae, 80, 277-290. (with M. Shattuck) (pdf)
22. (2007) Some generalized Fibonacci polynomials, Journal of Integer Sequences 10, Article 07.5.3 (with M. Shattuck). (pdf)
21. (2006) Periodicity and parity theorems for a statistic on r-mino arrangements, Journal of Integer Sequences 9, Article 06.3.6 (with M. Shattuck). (pdf)
20. (2006) A new statistic on linear and circular r-mino arrangements, The Electronic Journal of Combinatorics 13, #R42 (with M. Shattuck). (pdf)
19. (2005) Parity theorems for statistics on lattice paths and Laguerre configurations, Journal of Integer Sequences 8, Article 05.5.1 (with M. Shattuck). (pdf)
18. (2005) Parity theorems for statistics on domino arrangements, The Electronic Journal of Combinatorics 12, #N10 (with M. Shattuck). (pdf)
17. (2004) Partition statistics and q-Bell numbers (q =-1), Journal of Integer Sequences 7, Article 04.1.1. (pdf)
16. (2000) The Carlitz lattice path polynomials, Discrete Mathematics 222, 291-298. (pdf)
15. (2000) Verifying the independence of partitions of a probability space, Bulletin of the Australian Mathematical Society 61, 263-266 (with S. Mulay). (pdf)
14. (1998) Finitary bases and formal generating functions, Discrete Mathematics 190, 177-189 (with S. Mulay). (pdf)
13. (1997) Combinatorial proofs of power sum formulas, Archiv der Mathematik 68,    464-467. (pdf)
12. (1996) Generalized Stirling and Lah numbers, Discrete Mathematics 160, 199-218.(pdf)
11. (1994) Surjections, differences, and binomial lattices, Studies in Applied Mathematics 93, 15-27. (pdf)
10. (1994) Covering algebras and q-binomial generating functions, Discrete Mathematics 128, 95-111 (with R. Davis). (pdf)
9. (1992) Generalized finite differences and Bayesian conditioning of Choquet capacities, Advances in Applied Mathematics 13, 262-272 (with C. Sundberg). (pdf)
8. (1992) Characterizations of monotone and two-monotone capacities, Journal of Theoretical Probability 5, 159-167 (with C. Sundberg). (pdf)
7. (1990) Random variables related to a class of ordered structures, Advances in Applied Mathematics 11, 49-62 (with J. Long). (pdf)
6. (1989) On the distribution of the number of optimal elements for various generalized weak orders, Archiv der Mathematik 53, 87-94 (with J. Long). (pdf)
5. (1984) Semi-invariants of the interclass Mahalanobis distance, IEEE Transactions on Systems, Man, and Cybernetics 14, 534-538 (with R. Gonzalez). (pdf)
4. (1983) Moments of the interclass Mahalanobis distance, IEEE Transactions on Systems, Man, and Cybernetics 13, 1135-1139 (with R. Gonzalez). (pdf)
3. (1982) Enumeration of generalized weak orders, Archiv der Mathematik 39, 147-152. (pdf)
2. (1978) Minimal multiplicative covers of an integer, Discrete Mathematics 24, 87-94. (pdf)
1. (1973) Minimal covers of finite sets, Discrete Mathematics 5, 247-251 (with T. Hearne). (pdf)