Fetching the paper…
Reading the bibliography…
There are (at least) three bijections from Dyck paths to 321-avoiding permutations in the literature, due to Billey-Jockusch-Stanley, Krattenthaler, and Mansour-Deng-Du.
Germain Kreweras, Sur les éventails de segments, Cahiers du B.U.R.O. 15
1970
Earlier work this paper cites.
Marie-Pierre Delest and Gerard Viennot, Algebraic languages and polyominoes enumeration, Theoretical Comp. Sci. 34
1984
Earlier work this paper cites.
J.C. Lalanne, Une involution sur les chemins de Dyck, Europ. J. Combinatorics 13
1992
Earlier work this paper cites.
S. Billey, W. Jockusch and R. Stanley, Some Combinatorial Properties of Schubert Polynomials, J. Algebraic Combinatorics 2
1993
Earlier work this paper cites.
J.C. Lalanne, Sur une involution sur les chemins de Dyck, Theoretical Comp. Sci. 117
1993
Cited alongside, same era.
Robert A. Sulanke, A symmetric variation of a distribution of Kreweras and Poupard, J. Stat. Planning and Inference 34
1993
Cited alongside, same era.
Gap Forum Archive, 1998. http://www.gap-system.org/ForumArchive/Pueschel.1/Markus.1/Re__Fact.7/1.html
1998
Cited alongside, same era.
Richard P. Stanley, Enumerative Combinatorics Vol. 2, Cambridge University Press, 1999. Exercise 6.19 and related material on Catalan numbers are available online at http://www-math.mit.edu/ ~ \,\widetilde{\ }\, rstan/ec/
1999
Cited alongside, same era.
Emeric Deutsch, personal communication, 1999
1999
Later among the works it cites.
Christian Krattenthaler, Permutations with restricted patterns and Dyck paths, Advances in Applied Math. 27
2001
Later among the works it cites.
Astrid Reifegerste, On the diagram of 132-avoiding permutations, European J. Combin. 24
2003
Later among the works it cites.
Toufik Mansour, Eva Y. P. Deng and Rosena R. X. Du, Dyck paths and restricted permutations, Discrete Applied Math. 154
2006
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…