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» The Complexity of Graph Connectivity
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COCO
2006
Springer
97views Algorithms» more  COCO 2006»
15 years 7 months ago
Grid Graph Reachability Problems
We study the complexity of restricted versions of s-t-connectivity, which is the standard complete problem for NL. In particular, we focus on different classes of planar graphs, o...
Eric Allender, David A. Mix Barrington, Tanmoy Cha...
CORR
2006
Springer
134views Education» more  CORR 2006»
15 years 3 months ago
Max-Cut and Max-Bisection are NP-hard on unit disk graphs
We prove that the max-cut and max-bisection problems are NP-hard on unit disk graphs. We also show that -precision graphs are planar for > 1/ 2 and give a dichotomy theorem f...
Josep Díaz, Marcin Kaminski
ICALP
2009
Springer
16 years 4 months ago
Node-Weighted Steiner Tree and Group Steiner Tree in Planar Graphs
We improve the approximation ratios for two optimization problems in planar graphs. For node-weighted Steiner tree, a classical network-optimization problem, the best achievable ap...
Erik D. Demaine, MohammadTaghi Hajiaghayi, Philip ...
CORR
2008
Springer
71views Education» more  CORR 2008»
15 years 3 months ago
Asteroids in rooted and directed path graphs
An asteroidal triple is a stable set of three vertices such that each pair is connected by a path avoiding the neighborhood of the third vertex. Asteroidal triples play a central ...
Kathie Cameron, Chính T. Hoàng, Benj...
FLAIRS
2004
15 years 5 months ago
A New Approach for Heterogeneous Hybridization of Constraint Satisfaction Search Algorithms
In the recent years, CSP's have come to be seen as the core problem in many applications. We propose here a hybrid algorithm (MC-FC) that combines two different search method...
Debasis Mitra, Hyoung-rae Kim