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CCCG
2010
13 years 6 months ago
Minimum enclosing area triangle with a fixed angle
Given a set S of n points in the plane and a fixed angle 0 < < , we show how to find all triangles of minimum area with angle that enclose S in O(n log n) time.
Prosenjit Bose, Jean-Lou De Carufel
CCCG
2009
13 years 6 months ago
Optimal Empty Pseudo-Triangles in a Point Set
Given n points in the plane, we study three optimization problems of computing an empty pseudo-triangle: we consider minimizing the perimeter, maximizing the area, and minimizing ...
Hee-Kap Ahn, Sang Won Bae, Iris Reinbacher
DM
2002
116views more  DM 2002»
13 years 5 months ago
Star forests, dominating sets and Ramsey-type problems
A star forest of a graph G is a spanning subgraph of G in which each component is a star. The minimum number of edges required to guarantee that an arbitrary graph, or a bipartite...
Sheila Ferneyhough, Ruth Haas, Denis Hanson, Gary ...
SIAMCOMP
1998
92views more  SIAMCOMP 1998»
13 years 5 months ago
Surface Approximation and Geometric Partitions
Motivated by applications in computer graphics, visualization, and scienti c computation, we study the computational complexity of the following problem: Given a set S of n points...
Pankaj K. Agarwal, Subhash Suri
CORR
2008
Springer
95views Education» more  CORR 2008»
13 years 5 months ago
The Plane-Width of Graphs
Map vertices of a graph to (not necessarily distinct) points of the plane so that two adjacent vertices are mapped at least a unit distance apart. The plane-width of a graph is th...
Marcin Kaminski, Paul Medvedev, Martin Milanic