Geodesic
Baxter permutations, maj-balances, and positive braids
Sen-Peng Eu1 ; Tung-Shan Fu2 ; Yeh-Jong Pan3 ; Chien-Tai Ting1
1National University of Kaohsiung, ROC Air Force Academy
2National Pingtung Institute of Commerce
3Tajen University
The electronic journal of combinatorics, Tome 19 (2012) no. 3
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In this paper we present two interesting properties of 321-avoiding Baxter permutations. The first one is a variant of refined major-balance identity for the 321-avoiding Baxter permutations, respecting the number of fixed points and descents. The second one is a bijection between the 321-avoiding Baxter permutations with the entry 1 preceding the entry 2 and the positive braid words on four strands.
DOI : 10.37236/2620
Classification : 05A05, 05A15, 05A19
Mots-clés : Baxter permutation, 321-avoiding, 123-avoiding, maj-balance, positive braid word, generating tree

Sen-Peng Eu  1   ; Tung-Shan Fu  2   ; Yeh-Jong Pan  3   ; Chien-Tai Ting  1

1 National University of Kaohsiung, ROC Air Force Academy
2 National Pingtung Institute of Commerce
3 Tajen University 
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     author = {Sen-Peng Eu and Tung-Shan Fu and Yeh-Jong Pan and Chien-Tai Ting},
     title = {Baxter permutations, maj-balances, and positive braids},
     journal = {The electronic journal of combinatorics},
     year = {2012},
     volume = {19},
     number = {3},
     doi = {10.37236/2620},
     zbl = {1253.05007},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/2620/}
}
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Sen-Peng Eu; Tung-Shan Fu; Yeh-Jong Pan; Chien-Tai Ting. Baxter permutations, maj-balances, and positive braids. The electronic journal of combinatorics, Tome 19 (2012) no. 3. doi: 10.37236/2620

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