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Restricted walks in regular trees - MaRDI portal

Restricted walks in regular trees (Q870011)

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scientific article; zbMATH DE number 5132806
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Restricted walks in regular trees
scientific article; zbMATH DE number 5132806

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    Restricted walks in regular trees (English)
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    12 March 2007
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    Summary: Let \(\mathcal T\) be the Cayley graph of a finitely generated free group \(F\). Given two vertices in \(\mathcal T\) consider all the walks of a given length between these vertices that at a certain time must follow a number of predetermined steps. We give formulas for the number of such walks by expressing the problem in terms of equations in \(F\) and solving the corresponding equations.
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    Cayley graph
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