Geodesic
The maximum difference between the number of atoms and number of coatoms of a Bruhat interval of the symmetric group.
Emmanuel Tsukerman1
1University of California, Berkeley
The electronic journal of combinatorics, Tome 22 (2015) no. 1

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Zbl arXiv
We determine the largest difference between the number of atoms and number of coatoms of a Bruhat interval of the symmetric group $S_n$. We then pose the question of describing such extremal intervals $[u,v] \subset S_n$ and give a partial description by specifying the elements $v$ that can occur.
DOI : 10.37236/4585
Classification : 20B30, 06A07
Mots-clés : Bruhat order, numbers of atoms, numbers of coatoms, Bruhat intervals, symmetric groups

Emmanuel Tsukerman  1

1 University of California, Berkeley 
Emmanuel Tsukerman. The maximum difference between the number of atoms and number of coatoms of a Bruhat interval of the symmetric group.. The electronic journal of combinatorics, Tome 22 (2015) no. 1. doi: 10.37236/4585
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     author = {Emmanuel Tsukerman},
     title = {The maximum difference between the number of atoms and number of coatoms of a {Bruhat} interval of the symmetric group.},
     journal = {The electronic journal of combinatorics},
     year = {2015},
     volume = {22},
     number = {1},
     doi = {10.37236/4585},
     zbl = {1318.20003},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/4585/}
}
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