The numbers of line-defect self-avoiding polygons and related subgraphs of the square lattice

Those self-avoiding polygons of the square lattice, which have a perimeter larger by 2D than the perimeter of their bounding rectangle and for which this is due to a “line defect”, are defined. Also, classes of “spiked” convex self-avoiding polygons are introduced. A large number of generating functions for these types of graphs can be calculated exactly. All imply an asymptotic behaviour for the number of such graphs with perimeter P as P2 2P for P → ∞.

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Year of publication:	1994
Authors:	Moraal, Hendrik
Published in:	Physica A: Statistical Mechanics and its Applications. - Elsevier, ISSN 0378-4371. - Vol. 203.1994, 1, p. 103-113
Publisher:	Elsevier

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10011064380