The Language Of Self-avoiding Walks

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    The Language of Self-Avoiding Walks
    Connective Constants of Quasi-Transitive Graphs
    By: Christian Lindorfer
    Publisher:
    Springer Spektrum
    Print ISBN: 9783658247638, 3658247630
    eText ISBN: 9783658247645, 3658247649
    Copyright year: 2018
    Format: PDF
    Available from $ 69.99 USD
    SKU 9783658247645
    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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