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The Language of Self-Avoiding Walks
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The Language of Self-Avoiding Walks : Connective Constants of Quasi-Transitive Graphs

2018 ed.

Book Details

Format Paperback / Softback
Book Series BestMasters
ISBN-10 3658247630
ISBN-13 9783658247638
Edition 2018 ed.
Publisher Springer Fachmedien Wiesbaden
Imprint Springer Spektrum
Country of Manufacture DE
Country of Publication GB
Publication Date Jan 15th, 2019
Print length 65 Pages
Ksh 9,900.00
Werezi Extended Catalogue 0 in stock

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The connective constant of a quasi-transitive infinite graph is a measure for the asymptotic growth rate of the number of self-avoiding walks of length n from a given starting vertex.
The connective constant of a quasi-transitive infinite graph is a measure for the asymptotic growth rate of the number of self-avoiding walks of length n from a given starting vertex. On edge-labelled graphs the formal language of self-avoiding walks is generated by a formal grammar, which can be used to calculate the connective constant of the graph. Christian Lindorfer discusses the methods in some examples, including the infinite ladder-graph and the sandwich of two regular infinite trees.

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