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Tight lower bounds for minimum weight triangulation heuristics
 Information Processing Letters
, 1996
"... The minimum spanning tree heuristic is obtained by optimally triangulating a subgraph of the Delaunay triangulation, whereas the greedy spanning tree heuristic is obtained by optimally triangulating a subgraph of the greedy triangulation. In this paper it is shown that these two known heuristics can ..."
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Cited by 5 (1 self)
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The minimum spanning tree heuristic is obtained by optimally triangulating a subgraph of the Delaunay triangulation, whereas the greedy spanning tree heuristic is obtained by optimally triangulating a subgraph of the greedy triangulation. In this paper it is shown that these two known heuristics
Predicting Internet Network Distance with CoordinatesBased Approaches
 In INFOCOM
, 2001
"... In this paper, we propose to use coordinatesbased mechanisms in a peertopeer architecture to predict Internet network distance (i.e. roundtrip propagation and transmission delay) . We study two mechanisms. The first is a previously proposed scheme, called the triangulated heuristic, which is bas ..."
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Cited by 631 (6 self)
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In this paper, we propose to use coordinatesbased mechanisms in a peertopeer architecture to predict Internet network distance (i.e. roundtrip propagation and transmission delay) . We study two mechanisms. The first is a previously proposed scheme, called the triangulated heuristic, which
Mesh Generation And Optimal Triangulation
, 1992
"... We survey the computational geometry relevant to finite element mesh generation. We especially focus on optimal triangulations of geometric domains in two and threedimensions. An optimal triangulation is a partition of the domain into triangles or tetrahedra, that is best according to some cri ..."
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Cited by 214 (7 self)
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criterion that measures the size, shape, or number of triangles. We discuss algorithms both for the optimization of triangulations on a fixed set of vertices and for the placement of new vertices (Steiner points). We briefly survey the heuristic algorithms used in some practical mesh generators.
Heuristic Algorithms for the Triangulation of Graphs
, 1995
"... Different uncertainty propagation algorithms in graphical structures can be viewed as a particular case of propagation in a joint tree, which can be obtained from different triangulations of the original graph. The complexity of the resulting propagation algorithms depends on the size of the resu lt ..."
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Cited by 21 (3 self)
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lting triangulated graph. The prob lem of obtaining an optimum graph triangu lation is known to be NPcomplete. Thus approximate algorithms which find a good triangulation in reasonable time are of particular interest. This work describes and compares several heuristic algorithms developed
Triangulating Simple Polygons: PseudoTriangulations
, 1988
"... Triangulating a given nvertex simple polygon means to partition the interior of the polygon into n − 2 triangles by adding n − 3 nonintersecting diagonals. Significant theoretical advances have recently been made in finding efficient polygon triangulation algorithms. However, there is substantial ..."
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diameter of the triangulationflipgraph is Θ(n2). (3) We prove the SpinNumber Theorem on simple polygons; an interesting topological result. (4) We propose a triangulation heuristic that uses the angular (deficit) indices, and the chordflip operation, in a local search to transform an initial pseudotriangulation
The Minimum Degree Heuristic and the Minimal Triangulation Process
 IN LECTURE NOTES IN COMPUTER SCIENCE
, 2003
"... The Minimum Degree Algorithm, one of the classical algorithms of sparse matrix computations, is a heuristic for computing a minimum triangulation of a graph. It is widely used as a component in every sparse matrix package, and it is known to produce triangulations with few fill edges in practice, al ..."
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Cited by 26 (8 self)
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The Minimum Degree Algorithm, one of the classical algorithms of sparse matrix computations, is a heuristic for computing a minimum triangulation of a graph. It is widely used as a component in every sparse matrix package, and it is known to produce triangulations with few fill edges in practice
A Fast Heuristic For Finding The Minimum Weight Triangulation
, 1997
"... No polynomial time algorithm is known to compute the minimum weight triangulation (MWT) of a point set. In this thesis we present an efficient implementation of the LMTskeleton heuristic. This heuristic computes a subgraph of the MWT of a point set from which the MWT can usually be completed. For u ..."
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No polynomial time algorithm is known to compute the minimum weight triangulation (MWT) of a point set. In this thesis we present an efficient implementation of the LMTskeleton heuristic. This heuristic computes a subgraph of the MWT of a point set from which the MWT can usually be completed
Combinatories and Triangulations *
"... Abstract. The problem searching for an optimal triangulation with required properties (in a plane) is solved in this paper. Existing approaches are shortly introduced here and, specially, this paper is dedicated to the brute force methods. Several new brute force methods that solve the problem from ..."
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. Therefore, it can serve as a generator of optimal triangulations. For example, those results can be used in verification of developed heuristic methods or in other problems where accurate results are needed and no methods for required criterion have been developed yet. 1
THE TRIANGULATION OF MANIFOLDS
"... Abstract. A mostly expository account of old questions about the relationship between polyhedra and topological manifolds. Topics are old topological results, new gauge theory results (with speculations about next directions), and history of the questions. MR classifications 57Q15, 01A60, 57R58. ..."
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Abstract. A mostly expository account of old questions about the relationship between polyhedra and topological manifolds. Topics are old topological results, new gauge theory results (with speculations about next directions), and history of the questions. MR classifications 57Q15, 01A60, 57R58.
Results 1  10
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6,853