The Bernardi Process and Torsor Structures on Spanning Trees

DOI10.1093/imrn/rnx037zbMath1404.05027arXiv1406.5084OpenAlexW2963830013MaRDI QIDQ4619429

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Publication date: 6 February 2019

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1406.5084

zbMATH Keywords

ribbon graphrotor-routing model

Mathematics Subject Classification ID

Trees (05C05) Planar graphs; geometric and topological aspects of graph theory (05C10) Connectivity (05C40)

Related Items (11)

Sandpiles, Spanning Trees, and Plane Duality ⋮ Genus from sandpile torsor algorithm ⋮ Geometric bijections for regular matroids, zonotopes, and Ehrhart theory ⋮ Rotor-Routing Induces the Only Consistent Sandpile Torsor Structure on Plane Graphs ⋮ On Torsor Structures on Spanning Trees ⋮ A Torelli theorem for graph isomorphisms ⋮ Geometry, inference, complexity, and democracy ⋮ The rotor-routing torsor and the Bernardi torsor disagree for every non-planar ribbon graph ⋮ Hypergraph polynomials and the Bernardi process ⋮ GEOMETRIC BIJECTIONS FOR REGULAR MATROIDS, ZONOTOPES, AND EHRHART THEORY ⋮ Determining Genus From Sandpile Torsor Algorithms

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