Geodesic
Atomic Bases and $T$-path Formula for Cluster Algebras of Type $D$
Discrete mathematics & theoretical computer science, DMTCS Proceedings, 27th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2015), DMTCS Proceedings, 27th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2015) (2015) Cet article a éte moissonné depuis la source Episciences

Voir la notice de l'article

We extend a $T$-path expansion formula for arcs on an unpunctured surface to the case of arcs on a once-punctured polygon and use this formula to give a combinatorial proof that cluster monomials form the atomic basis of a cluster algebra of type $D$. 
@article{DMTCS_2015_special_285_a68,
     author = {Gunawan, Emily and Musiker, Gregg},
     title = {Atomic {Bases} and $T$-path {Formula} for {Cluster} {Algebras} of {Type} $D$},
     journal = {Discrete mathematics & theoretical computer science},
     year = {2015},
     volume = {DMTCS Proceedings, 27th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2015)},
     doi = {10.46298/dmtcs.2524},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.2524/}
}
TY  - JOUR
AU  - Gunawan, Emily
AU  - Musiker, Gregg
TI  - Atomic Bases and $T$-path Formula for Cluster Algebras of Type $D$
JO  - Discrete mathematics & theoretical computer science
PY  - 2015
VL  - DMTCS Proceedings, 27th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2015)
UR  - http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.2524/
DO  - 10.46298/dmtcs.2524
LA  - en
ID  - DMTCS_2015_special_285_a68
ER  - 
%0 Journal Article
%A Gunawan, Emily
%A Musiker, Gregg
%T Atomic Bases and $T$-path Formula for Cluster Algebras of Type $D$
%J Discrete mathematics & theoretical computer science
%D 2015
%V DMTCS Proceedings, 27th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2015)
%U http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.2524/
%R 10.46298/dmtcs.2524
%G en
%F DMTCS_2015_special_285_a68
Gunawan, Emily; Musiker, Gregg. Atomic Bases and $T$-path Formula for Cluster Algebras of Type $D$. Discrete mathematics & theoretical computer science, DMTCS Proceedings, 27th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2015), DMTCS Proceedings, 27th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2015) (2015). doi: 10.46298/dmtcs.2524

Cité par Sources :