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Parking functions, stack-sortable permutations, and spaces of paths in the Johnson graph - MaRDI portal

Parking functions, stack-sortable permutations, and spaces of paths in the Johnson graph (Q1871366)

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scientific article; zbMATH DE number 1907089
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Parking functions, stack-sortable permutations, and spaces of paths in the Johnson graph
scientific article; zbMATH DE number 1907089

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    Parking functions, stack-sortable permutations, and spaces of paths in the Johnson graph (English)
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    7 May 2003
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    Summary: We prove that the space of possible final configurations for a parking problem is parameterized by the vertices of a regular Bruhat graph associated to a 231-avoiding permutation, and we show how this relates to parameterizing certain spaces of paths in the Johnson graph.
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    regular Bruhat graph
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