Geodesic
Equidistributed statistics on Fishburn matrices and permutations
Dandan Chen1 ; Sherry H.F. Yan1 ; Robin D.P. Zhou2
1Zhejiang Normal University
2Shaoxing University
The electronic journal of combinatorics, Tome 26 (2019) no. 1
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Recently, Jelinek conjectured that there exists a bijection between certain restricted permutations and Fishburn matrices such that the bijection verifies the equidistribution of several statistics. The main objective of this paper is to establish such a bijection.
DOI : 10.37236/7926
Classification : 05A15, 05A17, 05A19, 06A07
Mots-clés : ascent sequence, pattern avoiding permutation, Fishburn matrix

Dandan Chen  1   ; Sherry H.F. Yan  1   ; Robin D.P. Zhou  2

1 Zhejiang Normal University
2 Shaoxing University 
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     author = {Dandan Chen and Sherry  H.F. Yan and Robin D.P. Zhou},
     title = {Equidistributed statistics on {Fishburn} matrices and permutations},
     journal = {The electronic journal of combinatorics},
     year = {2019},
     volume = {26},
     number = {1},
     doi = {10.37236/7926},
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     url = {http://geodesic.mathdoc.fr/articles/10.37236/7926/}
}
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Dandan Chen; Sherry  H.F. Yan; Robin D.P. Zhou. Equidistributed statistics on Fishburn matrices and permutations. The electronic journal of combinatorics, Tome 26 (2019) no. 1. doi: 10.37236/7926

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