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» On-Line Steiner Trees in the Euclidean Plane
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COMPGEOM
1992
ACM
13 years 9 months ago
On-Line Steiner Trees in the Euclidean Plane
Suppose we are given a sequence of n points in the Euclidean plane, and our objective is to construct, on-line, a connected graph that connects all of them, trying to minimize the...
Noga Alon, Yossi Azar
WADS
2007
Springer
165views Algorithms» more  WADS 2007»
13 years 11 months ago
A Near Linear Time Approximation Scheme for Steiner Tree Among Obstacles in the Plane
We present a polynomial-time approximation scheme (PTAS) for the Steiner tree problem with polygonal obstacles in the plane with running time O(n log2 n), where n denotes the numb...
Matthias Müller-Hannemann, Siamak Tazari
ICALP
2005
Springer
13 years 10 months ago
Approximation Algorithms for Euclidean Group TSP
In the Euclidean group Traveling Salesman Problem (TSP), we are given a set of points P in the plane and a set of m connected regions, each containing at least one point of P. We w...
Khaled M. Elbassioni, Aleksei V. Fishkin, Nabil H....
ESA
2009
Springer
144views Algorithms» more  ESA 2009»
13 years 11 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
INFORMATICALT
2000
96views more  INFORMATICALT 2000»
13 years 4 months ago
Investigation of Dead-Point Situations in the Simulation of Wet Film Evolution
The result of simulation of an idealized thin wet film connecting fixed points in the Euclidean plane is a length-minimizing curve. Gradually increasing the exterior pressure we ar...
Vydunas Saltenis