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Parking functions, stack-sortable permutations, and spaces of paths in the Johnson graph
The electronic journal of combinatorics, Permutation Patterns, Tome 9 (2002) no. 2
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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.
DOI : 10.37236/1683
Classification : 05A05, 05C38
Mots-clés : regular Bruhat graph 
@article{10_37236_1683,
     author = {Catalin Zara},
     title = {Parking functions, stack-sortable permutations, and spaces of paths in the {Johnson} graph},
     journal = {The electronic journal of combinatorics},
     year = {2002},
     volume = {9},
     number = {2},
     doi = {10.37236/1683},
     zbl = {1011.05002},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/1683/}
}
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Catalin Zara. Parking functions, stack-sortable permutations, and spaces of paths in the Johnson graph. The electronic journal of combinatorics, Permutation Patterns, Tome 9 (2002) no. 2. doi: 10.37236/1683

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