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"item_title" : "The Language of Self-Avoiding Walks",
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The Language of Self-Avoiding Walks : Connective Constants of Quasi-Transitive Graphs
Overview
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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Details
- ISBN-13: 9783658247638
- ISBN-10: 3658247630
- Publisher: Springer Spektrum
- Publish Date: January 2019
- Dimensions: 8.27 x 5.83 x 0.17 inches
- Shipping Weight: 0.23 pounds
- Page Count: 65
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