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The number of order-preserving maps of fences and crowns

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Abstract

We perform an exact enumeration of the order-preserving maps of fences (zig-zags) and crowns (cycles). From this we derive asymptotic results.

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References

  1. E. A.Bender (1974) Asymptotic methods in enumeration, SIAM Rev. 16, 485–515.

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  2. D. Duffus, V. Rödl, B. Sands, and R. Woodrow, Enumeration of Order Preserving Maps (preprint).

  3. I. P.Goulden and D. M.Jackson (1983) Combinatorial Enumeration, Wiley, New York.

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  4. I. Rival and A. Rutkowski, Does Almost Every Isotone Self-Map Have a Fixed Point? (preprint).

  5. B. Sands, Personal communication.

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Authors and Affiliations

  1. Department of Mathematics, University of Winnipeg, R3B 2E9, Winnipeg, Manitoba, Canada

    J. D. Currie & T. I. Visentin

Authors
  1. J. D. Currie
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  2. T. I. Visentin
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Communicated by I. Rival

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Currie, J.D., Visentin, T.I. The number of order-preserving maps of fences and crowns. Order 8, 133–142 (1991). https://doi.org/10.1007/BF00383399

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  • DOI: https://doi.org/10.1007/BF00383399

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