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ESA
2009
Springer
144views Algorithms» more  ESA 2009»
14 years 2 months ago
Narrow-Shallow-Low-Light Trees with and without Steiner Points
We show that for every set S of n points in the plane and a designated point rt ∈ S, there exists a tree T that has small maximum degree, depth and weight. Moreover, for every po...
Michael Elkin, Shay Solomon
ICTAI
2006
IEEE
14 years 1 months ago
Minimum Spanning Tree Based Clustering Algorithms
We propose two Euclidean minimum spanning tree based clustering algorithms — one a k-constrained, and the other an unconstrained algorithm. Our k-constrained clustering algorith...
Oleksandr Grygorash, Yan Zhou, Zach Jorgensen
COMPGEOM
1993
ACM
13 years 11 months ago
A Linear-Time Randomized Algorithm for the Bounded Voronoi Diagram of a Simple Polygon
For a polygon P, the bounded Voronoi diagram of P is a partition of P into regions assigned to the vertices of P. A point p inside P belongs to the region of a vertex v if and onl...
Rolf Klein, Andrzej Lingas
WADS
2007
Springer
106views Algorithms» more  WADS 2007»
14 years 1 months ago
Maximizing Maximal Angles for Plane Straight-Line Graphs
Let G = (S, E) be a plane straight-line graph on a finite point set S ⊂ R2 in general position. The incident angles of a point p ∈ S in G are the angles between any two edges ...
Oswin Aichholzer, Thomas Hackl, Michael Hoffmann, ...
SODA
2008
ACM
93views Algorithms» more  SODA 2008»
13 years 9 months ago
Minimum weight convex Steiner partitions
New tight bounds are presented on the minimum length of planar straight line graphs connecting n given points in the plane and having convex faces. Specifically, we show that the ...
Adrian Dumitrescu, Csaba D. Tóth