The permutation classes equinumerous to the smooth class
The electronic journal of combinatorics, Tome 5 (1998)
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We determine all permutation classes defined by pattern avoidance which are equinumerous to the class of permutations whose Schubert variety is smooth. We also provide a lattice path interpretation for the numbers of such permutations.
DOI : 10.37236/1369
Classification : 05A05, 05E10, 14M15
Mots-clés : permutation classes, pattern avoidance, smooth Schubert variety, lattice path
@article{10_37236_1369,
     author = {Mikl\'os B\'ona},
     title = {The permutation classes equinumerous to the smooth class},
     journal = {The electronic journal of combinatorics},
     year = {1998},
     volume = {5},
     doi = {10.37236/1369},
     zbl = {0899.05001},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/1369/}
}
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Miklós Bóna. The permutation classes equinumerous to the smooth class. The electronic journal of combinatorics, Tome 5 (1998). doi: 10.37236/1369

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