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The Language of Self-Avoiding Walks by Christian Lindorfer
The Language of Self-Avoiding Walks by Christian Lindorfer
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The Language of Self-Avoiding Walks

Connective Constants of Quasi-Transitive Graphs
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Description

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.

Author Biography:

Christian Lindorfer wrote his master’s thesis under the supervision of Prof. Dr. Wolfgang Woess at the Institute of Discrete Mathematics at Graz University of Technology, Austria.
Release date Australia
January 15th, 2019
Audience
  • Professional & Vocational
Edition
1st ed. 2018
Illustrations
1 Illustrations, black and white; XI, 65 p. 1 illus.
Pages
65
ISBN-13
9783658247638
Product ID
28766875

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