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Graphs and Combinatorics

, Volume 3, Issue 1, pp 325–339 | Cite as

Enumeration of parallelogram polyominoes with given bond and site perimeter

  • M. P. Delest
  • D. Gouyou-Beauchamps
  • B. Vauquelin
Article

Abstract

We give the generating function for parallelogram polyominoes according to the bond perimeter and the site perimeter. In this last case, we give an asymptotic evaluation for their number. According to the two parameters an exact formula for their number is found which gives some numbers closed to the Narayana's numbers.

Keywords

Generate Function Exact Formula Asymptotic Evaluation Site Perimeter 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag 1987

Authors and Affiliations

  • M. P. Delest
    • 1
  • D. Gouyou-Beauchamps
    • 1
  • B. Vauquelin
    • 1
  1. 1.Université de Bordeaux I, U.E.R. de Mathématiques et D'Informatique Unité associée au C.N.R.S. n°226Talence CedexFrance

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