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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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 
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     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},
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     number = {1},
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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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