Geodesic
The rotor-routing torsor and the Bernardi torsor disagree for every non-planar ribbon graph
Changxin Ding1
1Brandeis University
The electronic journal of combinatorics, Tome 28 (2021) no. 4
Cet article a éte moissonné depuis la source The Electronic Journal of Combinatorics website

Voir la notice de l'article

Let $G$ be a ribbon graph. Matthew Baker and Yao Wang proved that the rotor-routing torsor and the Bernardi torsor for $G$, which are two torsor structures on the set of spanning trees for the Picard group of $G$, coincide when $G$ is planar. We prove the conjecture raised by them that the two torsors disagree when $G$ is non-planar.
DOI : 10.37236/10275
Classification : 05C05, 05C25
Mots-clés : rotor-routing model, rotor configuration, combinatorial genus

Changxin Ding  1

1 Brandeis University 
@article{10_37236_10275,
     author = {Changxin Ding},
     title = {The rotor-routing torsor and the {Bernardi} torsor disagree for every non-planar ribbon graph},
     journal = {The electronic journal of combinatorics},
     year = {2021},
     volume = {28},
     number = {4},
     doi = {10.37236/10275},
     zbl = {1476.05024},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/10275/}
}
TY  - JOUR
AU  - Changxin Ding
TI  - The rotor-routing torsor and the Bernardi torsor disagree for every non-planar ribbon graph
JO  - The electronic journal of combinatorics
PY  - 2021
VL  - 28
IS  - 4
UR  - http://geodesic.mathdoc.fr/articles/10.37236/10275/
DO  - 10.37236/10275
ID  - 10_37236_10275
ER  - 
%0 Journal Article
%A Changxin Ding
%T The rotor-routing torsor and the Bernardi torsor disagree for every non-planar ribbon graph
%J The electronic journal of combinatorics
%D 2021
%V 28
%N 4
%U http://geodesic.mathdoc.fr/articles/10.37236/10275/
%R 10.37236/10275
%F 10_37236_10275
Changxin Ding. The rotor-routing torsor and the Bernardi torsor disagree for every non-planar ribbon graph. The electronic journal of combinatorics, Tome 28 (2021) no. 4. doi: 10.37236/10275

Cité par Sources :