Enumerations of plane meanders

Details Enumerations of plane meanders Enumerations of plane meanders

1999-10-20

arxiv.org/abs/cond-mat/9910313v1

Physics

Condensed Matter

Statistical Mechanics

6 pages, 2 figures, using macros elsart and graphicx. Talk presented at StatPhys-Taipei 1999

Scientific paper

A closed plane meander of order n is a closed self-avoiding loop intersecting an infinite line 2n times. Meanders are considered distinct up to any smooth deformation leaving the line fixed. We have developed an improved algorithm, based on transfer matrix methods, for the enumeration of plane meanders. This allows us to calculate the number of closed meanders up to n=24. The algorithm is easily modified to enumerate various systems of closed meanders, semi-meanders or open meanders.

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