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ALGORITHMICA
2007
80views more  ALGORITHMICA 2007»
14 years 9 months ago
Tree Spanners for Bipartite Graphs and Probe Interval Graphs
A tree t-spanner T in a graph G is a spanning tree of G such that the distance between every pair of vertices in T is at most t times their distance in G. The tree t-spanner proble...
Andreas Brandstädt, Feodor F. Dragan, Ho&agra...
WADS
2007
Springer
165views Algorithms» more  WADS 2007»
15 years 3 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
WADS
2007
Springer
180views Algorithms» more  WADS 2007»
15 years 3 months ago
Spanners for Geometric Intersection Graphs
A ball graph is an intersection graph of a set of balls with arbitrary radii. Given a real number t > 1, we say that a subgraph G′ of a graph G is a t-spanner of G, if for eve...
Martin Fürer, Shiva Prasad Kasiviswanathan
STACS
2007
Springer
15 years 3 months ago
Light Orthogonal Networks with Constant Geometric Dilation
An orthogonal spanner network for a given set of n points in the plane is a plane straight line graph with axis-aligned edges that connects all input points. We show that for any ...
Adrian Dumitrescu, Csaba D. Tóth