The Language of Self-Avoiding Walks

Name: The Language of Self-Avoiding Walks
Brand: Springer Nature
SKU: 9783658247638
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Springer Nature

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9783658247638

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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. 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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