Geodesic
Involutions on Baxter Objects
Discrete mathematics & theoretical computer science, DMTCS Proceedings vol. AR, 24th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2012), DMTCS Proceedings vol. AR, 24th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2012) (2012).

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

Baxter numbers are known to count several families of combinatorial objects, all of which come equipped with natural involutions. In this paper, we add a combinatorial family to the list, and show that the known bijections between these objects respect these involutions. We also give a formula for the number of objects fixed under this involution, showing that it is an instance of Stembridge's "$q=-1$ phenomenon''. 
@article{DMTCS_2012_special_263_a63,
     author = {Dilks, Kevin},
     title = {Involutions on {Baxter} {Objects}},
     journal = {Discrete mathematics & theoretical computer science},
     publisher = {mathdoc},
     volume = {DMTCS Proceedings vol. AR, 24th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2012)},
     year = {2012},
     doi = {10.46298/dmtcs.3077},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.3077/}
}
TY  - JOUR
AU  - Dilks, Kevin
TI  - Involutions on Baxter Objects
JO  - Discrete mathematics & theoretical computer science
PY  - 2012
VL  - DMTCS Proceedings vol. AR, 24th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2012)
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.3077/
DO  - 10.46298/dmtcs.3077
LA  - en
ID  - DMTCS_2012_special_263_a63
ER  - 
%0 Journal Article
%A Dilks, Kevin
%T Involutions on Baxter Objects
%J Discrete mathematics & theoretical computer science
%D 2012
%V DMTCS Proceedings vol. AR, 24th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2012)
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.3077/
%R 10.46298/dmtcs.3077
%G en
%F DMTCS_2012_special_263_a63
Dilks, Kevin. Involutions on Baxter Objects. Discrete mathematics & theoretical computer science, DMTCS Proceedings vol. AR, 24th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2012), DMTCS Proceedings vol. AR, 24th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2012) (2012). doi : 10.46298/dmtcs.3077. http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.3077/

Cité par Sources :