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The number of preference orderings: a recursive approach

  • Ben Eggleston (a1)

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1. Chandon, J. L., Lemaire, J., and Pouget, J., Dénombrement des quasi-ordres sur un ensemble fini, Mathématiques et Sciences Humaines 62 (1978) pp. 6180.
2. Riordan, J., An introduction to combinatorial analysis, John Wiley & Sons, Inc., New York (1958).
3. Weisstein, E. W., Stirling number of the second kind, MathWorld, accessed December 2014 at http://mathworld.wolfram.com/StirlingNumberoftheSecondKind.html
4. Weisstein, E. W., Binomial coefficient, MathWorld, accessed December 2014 at http://mathworld.wolfram.com/BinomialCoefficient.html
5. Barthelemy, J. P., An asymptotic equivalent for the number of total preorders on a finite set, Discrete Mathematics 29 (1980) pp. 311313.
6. Bailey, R. W., The number of weak orderings of a finite set, Social Choice and Welfare 15 (1998) pp. 559562.
7. Sloane, N. J. A., Online encyclopedia of integer sequences, accessed December 2014 at http://weis.org/A000670
8. Aitken, A. C., A problem in combinations, Edinburgh Mathematical Notes 28 (1933) pp. xviiixxiii.
9. Comtet, L., Advanced combinatorics: the art of finite and infinite expansions (revised edition), D. Reidel Publishing Company, Dordrecht, Holland (1974).
10. Kreweras, G., Une dualité élémentaire souvent utile dans les problèmes combinatoires, Mathématiques et Sciences Humaines 3 (1963) pp. 3141.

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The number of preference orderings: a recursive approach

  • Ben Eggleston (a1)

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