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The Language of Self-Avoiding Walks: Connective Constants of Quasi-Transitive Graphs
Paperback
Series: Bestmasters
AlgebraGeneral MathematicsGeometry
ISBN13: 9783658247638
Publisher: Springer Spektrum
Published: Jan 15 2019
Pages: 65
Weight: 0.23
Height: 0.17 Width: 5.83 Depth: 8.27
Language: English
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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