Orienting Triangulations
Copyright policy )Orienting Triangulations
AbstractWe prove that any triangulation of a surface different from the sphere and the projective plane admits an orientation without sinks such that every vertex has outdegree divisible by three. This confirms a conjecture of Barát and Thomassen and is a step toward a generalization of Schnyder woods to higher genus surfaces.
Orientations, triangulations, [INFO] Computer Science [cs], surfaces, Planar graphs; geometric and topological aspects of graph theory, Surfaces, [MATH.MATH-CO] Mathematics [math]/Combinatorics [math.CO], [INFO.INFO-DM] Computer Science [cs]/Discrete Mathematics [cs.DM], orientations, Edge subsets with special properties (factorization, matching, partitioning, covering and packing, etc.), FOS: Mathematics, Mathematics - Combinatorics, Combinatorics (math.CO)
Orientations, triangulations, [INFO] Computer Science [cs], surfaces, Planar graphs; geometric and topological aspects of graph theory, Surfaces, [MATH.MATH-CO] Mathematics [math]/Combinatorics [math.CO], [INFO.INFO-DM] Computer Science [cs]/Discrete Mathematics [cs.DM], orientations, Edge subsets with special properties (factorization, matching, partitioning, covering and packing, etc.), FOS: Mathematics, Mathematics - Combinatorics, Combinatorics (math.CO)
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