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» Spanners for Geometric Intersection Graphs
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SODA
2012
ACM
243views Algorithms» more  SODA 2012»
11 years 11 months ago
Bidimensionality and geometric graphs
Bidimensionality theory was introduced by Demaine et al. [JACM 2005 ] as a framework to obtain algorithmic results for hard problems on minor closed graph classes. The theory has ...
Fedor V. Fomin, Daniel Lokshtanov, Saket Saurabh
GD
2009
Springer
13 years 12 months ago
Complexity of Some Geometric and Topological Problems
We show that recognizing intersection graphs of convex sets has the same complexity as deciding truth in the existential theory of the reals. Comparing this to similar results on t...
Marcus Schaefer
GD
2004
Springer
14 years 2 months ago
Intersection Reverse Sequences and Geometric Applications
Pinchasi and Radoiˇci´c [11] used the following observation to bound the number of edges of a topological graph without a self-crossing cycle of length 4: if we make a list of t...
Adam Marcus, Gábor Tardos
GECCO
2006
Springer
164views Optimization» more  GECCO 2006»
14 years 8 days ago
Biobjective evolutionary and heuristic algorithms for intersection of geometric graphs
Wire routing in a VLSI chip often requires minimization of wire-length as well as the number of intersections among multiple nets. Such an optimization problem is computationally ...
Rajeev Kumar, Pramod Kumar Singh, Bhargab B. Bhatt...
WAOA
2010
Springer
209views Algorithms» more  WAOA 2010»
13 years 6 months ago
Densest k-Subgraph Approximation on Intersection Graphs
We study approximation solutions for the densest k-subgraph problem (DS-k) on several classes of intersection graphs. We adopt the concept of -quasi elimination orders, introduced ...
Danny Z. Chen, Rudolf Fleischer, Jian Li