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» Visibility Graphs of Point Sets in the Plane
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107
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COMPGEOM
2006
ACM
15 years 5 months ago
Minimum weight triangulation is NP-hard
A triangulation of a planar point set S is a maximal plane straight-line graph with vertex set S. In the minimum weight triangulation (MWT) problem, we are looking for a triangula...
Wolfgang Mulzer, Günter Rote
COMPGEOM
2004
ACM
15 years 5 months ago
The corner arc algorithm
In a landmark survey of visibility algorithms in 1974, Sutherland, Sproull, and Schumacker stated that “We believe the principal untapped source of help for hidden surface algor...
Olaf A. Hall-Holt
70
Voted
CORR
2008
Springer
77views Education» more  CORR 2008»
14 years 11 months ago
Principal Graphs and Manifolds
In many physical statistical, biological and other investigations it is desirable to approximate a system of points by objects of lower dimension and/or complexity. For this purpo...
Alexander N. Gorban, Andrei Yu. Zinovyev
IPL
2008
104views more  IPL 2008»
14 years 11 months ago
A note on harmonic subgraphs in labelled geometric graphs
Let S be a set of n points in general position in the plane, labelled bijectively with the integers {0, 1, . . ., n - 1}. Each edge (the straight segment that joins two points) is...
Gabriela Araujo, József Balogh, Ruy Fabila ...
CORR
2008
Springer
129views Education» more  CORR 2008»
14 years 11 months ago
On the Stretch Factor of Convex Delaunay Graphs
Let C be a compact and convex set in the plane that contains the origin in its interior, and let S be a finite set of points in the plane. The Delaunay graph DGC (S) of S is define...
Prosenjit Bose, Paz Carmi, Sébastien Collet...