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The Language of Self-Avoiding Walks

The Language of Self-Avoiding Walks

Christian Lindorfer

85,19 €
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Editorial:
Springer Nature B.V.
Año de edición:
2019
Materia
Geometría
ISBN:
9783658247638
85,19 €
IVA incluido
Disponible

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Sobre IBD

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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