Geodesic
Excedance numbers for the permutations of type \(B\)
Alina F.Y. Zhao1
1Nanjing Normal University
The electronic journal of combinatorics, Tome 20 (2013) no. 2
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This work provides a study on the multidistribution of type $B$ excedances, fixed points and cycles on the permutations of type $B$. We derive the recurrences and closed formulas for the distribution of signed excedances on type $B$ permutations as well as derangements via combinatorial construction. Based on this result, we obtain the recurrence and generating function for the signed excedance polynomial and disclose some relationships with Euler numbers and Springer numbers, respectively.
DOI : 10.37236/2375
Classification : 05A05, 05A19
Mots-clés : type \(B\) permutation, type \(B\) excedance, type \(B\) derangement, fixed point, cycle, Euler number, Springer number, multidistribution

Alina F.Y. Zhao  1

1 Nanjing Normal University 
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     author = {Alina F.Y. Zhao},
     title = {Excedance numbers for the permutations of type {\(B\)}},
     journal = {The electronic journal of combinatorics},
     year = {2013},
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Alina F.Y. Zhao. Excedance numbers for the permutations of type \(B\). The electronic journal of combinatorics, Tome 20 (2013) no. 2. doi: 10.37236/2375

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