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COMPGEOM
2006
ACM
14 years 1 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
14 years 27 days 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
CORR
2008
Springer
77views Education» more  CORR 2008»
13 years 7 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»
13 years 7 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»
13 years 7 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...