, Volume 8, Issue 2, pp 133–142

The number of order-preserving maps of fences and crowns

  • J. D. Currie
  • T. I. Visentin

DOI: 10.1007/BF00383399

Cite this article as:
Currie, J.D. & Visentin, T.I. Order (1991) 8: 133. doi:10.1007/BF00383399


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

AMS subject classifications (1991)

Primary: 05A15 06A17 

Key words

Combinatorial enumeration poset order-preserving map lattice path 

Copyright information

© Kluwer Academic Publishers 1991

Authors and Affiliations

  • J. D. Currie
    • 1
  • T. I. Visentin
    • 1
  1. 1.Department of MathematicsUniversity of WinnipegWinnipegCanada

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