Does contraction preserve triangular meshes?
Copyright policy )Does contraction preserve triangular meshes?
A triangular graph is a planar graph in which each face is a triangle, except possibly for the exterior face, and without articulation nodes. The embedding of a triangular graph in the plane is called a triangular mesh. The paper gives a necessary and sufficient condition saying for which graphs triangularity is preserved after some edge contraction.
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embedding, triangular mesh, triangular graph, edge contraction, planar graph, Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs, Planar graphs; geometric and topological aspects of graph theory
embedding, triangular mesh, triangular graph, edge contraction, planar graph, Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs, Planar graphs; geometric and topological aspects of graph theory
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