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Asymptotic Behavior of Inflated Lattice Polygons

✍ Scribed by Mithun K. Mitra; Gautam I. Menon; R. Rajesh

Book ID
106431325
Publisher
Springer
Year
2008
Tongue
English
Weight
345 KB
Volume
131
Category
Article
ISSN
0022-4715

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✍ Dudley Stark; Nicholas C. Wormald πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 413 KB

A polygon is an elementary (self-avoiding) cycle in the hypercubic lattice Z d taking at least one step in every dimension. A polygon on Z d is said to be convex if its length is exactly twice the sum of the side lengths of the smallest hypercube containing it. The number of d-dimensional convex pol