Geodesic
Reduced decompositions of matchings
The electronic journal of combinatorics, Tome 18 (2011) no. 1
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We give a characterization of matchings in terms of the canonical reduced decompositions. As an application, the canonical reduced decompositions of $12312$-avoiding matchings are obtained. Based on such decompositions, we find a bijection between $12312$-avoiding matchings and ternary paths.
DOI : 10.37236/594
Classification : 05A05, 05A19
Mots-clés : canonical reduced decompositions 
@article{10_37236_594,
     author = {Lun Lv and Sabrina X. M. Pang},
     title = {Reduced decompositions of matchings},
     journal = {The electronic journal of combinatorics},
     year = {2011},
     volume = {18},
     number = {1},
     doi = {10.37236/594},
     zbl = {1233.05018},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/594/}
}
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Lun Lv; Sabrina X. M. Pang. Reduced decompositions of matchings. The electronic journal of combinatorics, Tome 18 (2011) no. 1. doi: 10.37236/594

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