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ESA
2009
Springer
144views Algorithms» more  ESA 2009»
13 years 12 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
13 years 11 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 9 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»
13 years 11 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 6 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