plane triangulation - significado y definición. Qué es plane triangulation
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Qué (quién) es plane triangulation - definición

GRAPH THAT CAN BE EMBEDDED IN THE PLANE
Planar graphs; Theorem P; Plane graph; Planar map; Outplanar graph; Triangular graph; Planarity (graph theory); Wagner theorem; Convex plane graph; Nonplanar graph; Maximal planar graph; Planar embedding of the graph; Kuratowski's reduction theorem; Planer graph; Planar Graph; Planar embedding; Plane triangulation; Nonplanar
  • 100x100px
  • 5}}}}, the complete graph on five vertices, minus one edge.
  • A [[Schlegel diagram]] of a regular [[dodecahedron]], forming a planar graph from a convex polyhedron.
  • The [[Goldner–Harary graph]] is maximal planar. All its faces are bounded by three edges.
  • 3,3}}}} graph, and is therefore non-planar

Triangulation (geometry)         
SUBDIVISION OF A PLANAR OBJECT INTO TRIANGLES
Triangulation (advanced geometry)
In geometry, a triangulation is a subdivision of a planar object into triangles, and by extension the subdivision of a higher-dimension geometric object into simplices. Triangulations of a three-dimensional volume would involve subdividing it into tetrahedra packed together.
Delaunay triangulation         
  • A Delaunay triangulation of a random set of 100 points in a plane.
  • Each frame of the animation shows a Delaunay triangulation of the four points. Halfway through, the triangulating edge flips showing that the Delaunay triangulation maximizes the minimum angle, not the edge-length of the triangles.
  • A, B, C}}
TRIANGULATION METHOD NAMED AFTER BORIS DELAUNAY
Delaunay Triangulation; Delone triangulation; Thiessen triangulation; Delaunay tessellation; Delaunay cell; Delaunay algorithm; Applications of Delaunay triangulation
<mathematics, graphics> (After B. Delaunay) For a set S of points in the Euclidean plane, the unique triangulation DT(S) of S such that no point in S is inside the circumcircle of any triangle in DT(S). DT(S) is the dual of the {voronoi diagram} of S.
Delaunay triangulation         
  • A Delaunay triangulation of a random set of 100 points in a plane.
  • Each frame of the animation shows a Delaunay triangulation of the four points. Halfway through, the triangulating edge flips showing that the Delaunay triangulation maximizes the minimum angle, not the edge-length of the triangles.
  • A, B, C}}
TRIANGULATION METHOD NAMED AFTER BORIS DELAUNAY
Delaunay Triangulation; Delone triangulation; Thiessen triangulation; Delaunay tessellation; Delaunay cell; Delaunay algorithm; Applications of Delaunay triangulation
In mathematics and computational geometry, a Delaunay triangulation (also known as a Delone triangulation) for a given set P of discrete points in a general position is a triangulation DT(P) such that no point in P is inside the circumcircle of any triangle in DT(P). Delaunay triangulations maximize the minimum of all the angles of the triangles in the triangulation; they tend to avoid sliver triangles.

Wikipedia

Planar graph

In graph theory, a planar graph is a graph that can be embedded in the plane, i.e., it can be drawn on the plane in such a way that its edges intersect only at their endpoints. In other words, it can be drawn in such a way that no edges cross each other. Such a drawing is called a plane graph or planar embedding of the graph. A plane graph can be defined as a planar graph with a mapping from every node to a point on a plane, and from every edge to a plane curve on that plane, such that the extreme points of each curve are the points mapped from its end nodes, and all curves are disjoint except on their extreme points.

Every graph that can be drawn on a plane can be drawn on the sphere as well, and vice versa, by means of stereographic projection.

Plane graphs can be encoded by combinatorial maps or rotation systems.

An equivalence class of topologically equivalent drawings on the sphere, usually with additional assumptions such as the absence of isthmuses, is called a planar map. Although a plane graph has an external or unbounded face, none of the faces of a planar map has a particular status.

Planar graphs generalize to graphs drawable on a surface of a given genus. In this terminology, planar graphs have genus 0, since the plane (and the sphere) are surfaces of genus 0. See "graph embedding" for other related topics.