Geodesic
Yamanouchi toppling
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

We study an extension of the chip-firing game. A given set of admissible moves, called Yamanouchi moves, allows the player to pass from a starting configuration $\alpha$ to a further configuration $\beta$. This can be encoded via an action of a certain group, the toppling group, associated with each connected graph. This action gives rise to a generalization of Hall-Littlewood symmetric polynomials and a new combinatorial basis for them. Moreover, it provides a general method to construct all orthogonal systems associated with a given random variable. 
@article{DMTCS_2014_special_265_a38,
     author = {Cori, Robert and Senato, Domenico and Petrullo, Pasquale},
     title = {Yamanouchi toppling},
     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.2413},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.2413/}
}
TY  - JOUR
AU  - Cori, Robert
AU  - Senato, Domenico
AU  - Petrullo, Pasquale
TI  - Yamanouchi toppling
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.2413/
DO  - 10.46298/dmtcs.2413
LA  - en
ID  - DMTCS_2014_special_265_a38
ER  - 
%0 Journal Article
%A Cori, Robert
%A Senato, Domenico
%A Petrullo, Pasquale
%T Yamanouchi toppling
%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.2413/
%R 10.46298/dmtcs.2413
%G en
%F DMTCS_2014_special_265_a38
Cori, Robert; Senato, Domenico; Petrullo, Pasquale. Yamanouchi toppling. 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.2413. http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.2413/

Cité par Sources :