Geodesic
Elliptic rook and file numbers
Discrete mathematics & theoretical computer science, DMTCS Proceedings, 28th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2016), DMTCS Proceedings, 28th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2016) (2020).

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

In this work, we construct elliptic analogues of the rook numbers and file numbers by attaching elliptic weights to the cells in a board. We show that our elliptic rook and file numbers satisfy elliptic extensions of corre- sponding factorization theorems which in the classical case were established by Goldman, Joichi and White and by Garsia and Remmel in the file number case. This factorization theorem can be used to define elliptic analogues of various kinds of Stirling numbers of the first and second kind as well as Abel numbers. We also give analogous results for matchings of graphs, elliptically extending the result of Haglund and Remmel. 
@article{DMTCS_2020_special_379_a44,
     author = {Schlosser, Michael J. and Yoo, Meesue},
     title = {Elliptic rook and file numbers},
     journal = {Discrete mathematics & theoretical computer science},
     publisher = {mathdoc},
     volume = {DMTCS Proceedings, 28th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2016)},
     year = {2020},
     doi = {10.46298/dmtcs.6362},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.6362/}
}
TY  - JOUR
AU  - Schlosser, Michael J.
AU  - Yoo, Meesue
TI  - Elliptic rook and file numbers
JO  - Discrete mathematics & theoretical computer science
PY  - 2020
VL  - DMTCS Proceedings, 28th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2016)
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.6362/
DO  - 10.46298/dmtcs.6362
LA  - en
ID  - DMTCS_2020_special_379_a44
ER  - 
%0 Journal Article
%A Schlosser, Michael J.
%A Yoo, Meesue
%T Elliptic rook and file numbers
%J Discrete mathematics & theoretical computer science
%D 2020
%V DMTCS Proceedings, 28th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2016)
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.6362/
%R 10.46298/dmtcs.6362
%G en
%F DMTCS_2020_special_379_a44
Schlosser, Michael J.; Yoo, Meesue. Elliptic rook and file numbers. Discrete mathematics & theoretical computer science, DMTCS Proceedings, 28th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2016), DMTCS Proceedings, 28th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2016) (2020). doi : 10.46298/dmtcs.6362. http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.6362/

Cité par Sources :