The Permutation Classes Equinumerous to the Smooth Class
Copyright policy ) Miklós Bóna;
The Permutation Classes Equinumerous to the Smooth Class
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.
- Université du Québec à Montréal Canada
- University of Quebec Canada
Permutations, words, matrices, pattern avoidance, lattice path, Combinatorial aspects of representation theory, smooth Schubert variety, permutation classes, Grassmannians, Schubert varieties, flag manifolds
Permutations, words, matrices, pattern avoidance, lattice path, Combinatorial aspects of representation theory, smooth Schubert variety, permutation classes, Grassmannians, Schubert varieties, flag manifolds
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selected citations
Citations provided by BIP!
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
Citations provided by BIP!popularityPopularity provided by BIP!
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
Popularity provided by BIP! 18
Average
Top 10%
Average
gold
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