The Sandpile Group of a Trinity and a Canonical Definition for the Planar Bernardi Action
Author:
Publisher
Springer Science and Business Media LLC
Subject
Computational Mathematics,Discrete Mathematics and Combinatorics
Link
https://link.springer.com/content/pdf/10.1007/s00493-021-4798-9.pdf
Reference20 articles.
1. Y. An, M. Baker, G. Kuperberg and F. Shokrieh: Canonical representatives for divisor classes on tropical curves and the Matrix-Tree Theorem, Forum of Mathematics, Sigma 2 (2014), e24.
2. M. Baker and Y. Wang: The Bernardi process and torsor structures on spanning trees, Int. Math. Res. Not. 2017.
3. O. Bernardi: A characterization of the Tutte polynomial via combinatorial embedding, Ann. Combin. 12 (2008), 139–153.
4. O. Bernardi: Tutte Polynomial, Subgraphs, Orientations and Sandpile Model: New Connections via Embeddings, Electron. J. Combin. 15 (2008), R109.
5. S. R. Blackburn and T. A. McCourt: Triangulations of the sphere, bitrades, and Abelian groups, Combinatorica 34 (2014), 527–546.
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1. On Torsor Structures on Spanning Trees;SIAM Journal on Discrete Mathematics;2023-09-20
2. Rotor-Routing Induces the Only Consistent Sandpile Torsor Structure on Plane Graphs;Forum of Mathematics, Sigma;2023
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