Geodesic
Sweep maps for lattice paths
Discrete mathematics & theoretical computer science, DMTCS Proceedings vol. AT, 26th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2014), DMTCS Proceedings vol. AT, 26th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2014) (2014).

Voir la notice de l'article provenant de la source Episciences

Sweep maps are a family of maps on words that, while simple to define, are not yet known to be injective in general. This family subsumes many of the "zeta maps" that have arisen in the study of q,t-Catalan numbers in the course of relating the three statistics of area, bounce and dinv. A sweep map can be defined for words over arbitrary alphabets with arbitrary weights. The latter property makes them particularly suitable for the study of rational Catalan combinatorics. 
@article{DMTCS_2014_special_265_a57,
     author = {Loehr, Nicholas and Warrington, Gregory},
     title = {Sweep maps for lattice paths},
     journal = {Discrete mathematics & theoretical computer science},
     publisher = {mathdoc},
     volume = {DMTCS Proceedings vol. AT, 26th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2014)},
     year = {2014},
     doi = {10.46298/dmtcs.2432},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.2432/}
}
TY  - JOUR
AU  - Loehr, Nicholas
AU  - Warrington, Gregory
TI  - Sweep maps for lattice paths
JO  - Discrete mathematics & theoretical computer science
PY  - 2014
VL  - DMTCS Proceedings vol. AT, 26th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2014)
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.2432/
DO  - 10.46298/dmtcs.2432
LA  - en
ID  - DMTCS_2014_special_265_a57
ER  - 
%0 Journal Article
%A Loehr, Nicholas
%A Warrington, Gregory
%T Sweep maps for lattice paths
%J Discrete mathematics & theoretical computer science
%D 2014
%V DMTCS Proceedings vol. AT, 26th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2014)
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.2432/
%R 10.46298/dmtcs.2432
%G en
%F DMTCS_2014_special_265_a57
Loehr, Nicholas; Warrington, Gregory. Sweep maps for lattice paths. Discrete mathematics & theoretical computer science, DMTCS Proceedings vol. AT, 26th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2014), DMTCS Proceedings vol. AT, 26th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2014) (2014). doi : 10.46298/dmtcs.2432. http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.2432/

Cité par Sources :