Geodesic
Meanders and Motzkin words
Journal of integer sequences, Tome 7 (2004) no. 1
We study the construction of closed meanders and systems of closed meanders, using Motzkin words with four letters. These words are generated by applying binary operation on the set of Dyck words. The procedure is based on the various kinds of intersection of the meandric curve with the horizontal line.
Classification : 05A15, 05A18
Keywords: meanders, Dyck words, Catalan numbers, Motzkin words 
@article{JIS_2004__7_1_a2,
     author = {Panayotopoulos,  A. and Tsikouras,  P.},
     title = {Meanders and {Motzkin} words},
     journal = {Journal of integer sequences},
     year = {2004},
     volume = {7},
     number = {1},
     zbl = {1101.68743},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JIS_2004__7_1_a2/}
}
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Panayotopoulos,  A.; Tsikouras,  P. Meanders and Motzkin words. Journal of integer sequences, Tome 7 (2004) no. 1. http://geodesic.mathdoc.fr/item/JIS_2004__7_1_a2/