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

From MaRDI portal





scientific article; zbMATH DE number 1907089
Language Label Description Also known as
English
Parking functions, stack-sortable permutations, and spaces of paths in the Johnson graph
scientific article; zbMATH DE number 1907089

    Statements

    Parking functions, stack-sortable permutations, and spaces of paths in the Johnson graph (English)
    0 references
    7 May 2003
    0 references
    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.
    0 references
    regular Bruhat graph
    0 references
    0 references

    Identifiers