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- Tutte_embedding abstract "In graph drawing and geometric graph theory, a Tutte embedding or barycentric embedding of a simple 3-vertex-connected planar graph is a crossing-free straight-line embedding with the properties that the outer face is a convex polygon and that each interior vertex is at the average (or barycenter) of its neighbor's positions. If the outer polygon is fixed, this condition on the interior vertices determines their position uniquely as the solution to a system of linear equations. Solving the equations geometrically produces a planar embedding. Tutte's spring theorem, proven by W. T. Tutte (1963), states that this unique solution is always crossing-free, and more strongly that every face of the resulting planar embedding is convex. It is called the spring theorem because such an embedding can be found as the equilibrium position for a system of springs representing the edges of the graph.".
- Tutte_embedding thumbnail Tutte_cube.svg?width=300.
- Tutte_embedding wikiPageID "39503349".
- Tutte_embedding wikiPageLength "9142".
- Tutte_embedding wikiPageOutDegree "37".
- Tutte_embedding wikiPageRevisionID "673436013".
- Tutte_embedding wikiPageWikiLink Category:Graph_drawing.
- Tutte_embedding wikiPageWikiLink Category:Planar_graphs.
- Tutte_embedding wikiPageWikiLink Centroid.
- Tutte_embedding wikiPageWikiLink Convex_hull.
- Tutte_embedding wikiPageWikiLink Convex_polygon.
- Tutte_embedding wikiPageWikiLink Convex_polyhedron.
- Tutte_embedding wikiPageWikiLink Convex_polytope.
- Tutte_embedding wikiPageWikiLink Dual_graph.
- Tutte_embedding wikiPageWikiLink Dual_polyhedron.
- Tutte_embedding wikiPageWikiLink Finite_element_method.
- Tutte_embedding wikiPageWikiLink Force-directed_graph_drawing.
- Tutte_embedding wikiPageWikiLink Fxc3xa1rys_theorem.
- Tutte_embedding wikiPageWikiLink Geometric_graph_theory.
- Tutte_embedding wikiPageWikiLink Graph_(mathematics).
- Tutte_embedding wikiPageWikiLink Graph_drawing.
- Tutte_embedding wikiPageWikiLink K-vertex-connected_graph.
- Tutte_embedding wikiPageWikiLink Laplacian_smoothing.
- Tutte_embedding wikiPageWikiLink Linear_equation.
- Tutte_embedding wikiPageWikiLink Lloyds_algorithm.
- Tutte_embedding wikiPageWikiLink Maxwell–Cremona_correspondence.
- Tutte_embedding wikiPageWikiLink Mesh_generation.
- Tutte_embedding wikiPageWikiLink Planar_graph.
- Tutte_embedding wikiPageWikiLink Polyhedral_graph.
- Tutte_embedding wikiPageWikiLink Polynomial_time.
- Tutte_embedding wikiPageWikiLink Quadrilateral_mesh.
- Tutte_embedding wikiPageWikiLink Schlegel_diagram.
- Tutte_embedding wikiPageWikiLink Simple_graph.
- Tutte_embedding wikiPageWikiLink Simplex.
- Tutte_embedding wikiPageWikiLink Spring_(device).
- Tutte_embedding wikiPageWikiLink Steinitzs_theorem.
- Tutte_embedding wikiPageWikiLink System_of_linear_equations.
- Tutte_embedding wikiPageWikiLink Time_complexity.
- Tutte_embedding wikiPageWikiLink Toroidal_graph.
- Tutte_embedding wikiPageWikiLink Unit_square.
- Tutte_embedding wikiPageWikiLink File:Tutte_cube.svg.
- Tutte_embedding wikiPageWikiLinkText "Tutte embedding".
- Tutte_embedding authorlink "W. T. Tutte".
- Tutte_embedding first "W. T.".
- Tutte_embedding hasPhotoCollection Tutte_embedding.
- Tutte_embedding last "Tutte".
- Tutte_embedding wikiPageUsesTemplate Template:Harvs.
- Tutte_embedding wikiPageUsesTemplate Template:Harvtxt.
- Tutte_embedding wikiPageUsesTemplate Template:Reflist.
- Tutte_embedding year "1963".
- Tutte_embedding subject Category:Graph_drawing.
- Tutte_embedding subject Category:Planar_graphs.
- Tutte_embedding hypernym Polygon.
- Tutte_embedding type Software.
- Tutte_embedding type Thing.
- Tutte_embedding comment "In graph drawing and geometric graph theory, a Tutte embedding or barycentric embedding of a simple 3-vertex-connected planar graph is a crossing-free straight-line embedding with the properties that the outer face is a convex polygon and that each interior vertex is at the average (or barycenter) of its neighbor's positions. If the outer polygon is fixed, this condition on the interior vertices determines their position uniquely as the solution to a system of linear equations.".
- Tutte_embedding label "Tutte embedding".
- Tutte_embedding sameAs m.0vpyrqx.
- Tutte_embedding sameAs Q17090559.
- Tutte_embedding sameAs Q17090559.
- Tutte_embedding wasDerivedFrom Tutte_embedding?oldid=673436013.
- Tutte_embedding depiction Tutte_cube.svg.
- Tutte_embedding isPrimaryTopicOf Tutte_embedding.