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» The Complexity of Planar Counting Problems
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COMPGEOM
2000
ACM
14 years 2 days ago
When crossings count - approximating the minimum spanning tree
We present an (1+ε)-approximation algorithm for computing the minimum-spanning tree of points in a planar arrangement of lines, where the metric is the number of crossings betwee...
Sariel Har-Peled, Piotr Indyk
FSTTCS
2008
Springer
13 years 8 months ago
3-connected Planar Graph Isomorphism is in Log-space
We consider the isomorphism and canonization problem for 3-connected planar graphs. The problem was known to be L -hard and in UL ∩ coUL [TW08]. In this paper, we give a determin...
Samir Datta, Nutan Limaye, Prajakta Nimbhorkar
TAMC
2007
Springer
14 years 1 months ago
Kernelizations for Parameterized Counting Problems
Abstract. Kernelizations are an important tool in designing fixed parameter algorithms for parameterized decision problems. We introduce an analogous notion for counting problems,...
Marc Thurley
UC
2005
Springer
14 years 1 months ago
On Computational Complexity of Counting Fixed Points in Symmetric Boolean Graph Automata
Abstract. We study computational complexity of counting the fixed point configurations (FPs) in certain classes of graph automata viewed as discrete dynamical systems. We prove t...
Predrag T. Tosic, Gul A. Agha
IPPS
2006
IEEE
14 years 1 months ago
Concurrent counting is harder than queuing
In both distributed counting and queuing, processors in a distributed system issue operations which are organized into a total order. In counting, each processor receives the rank...
Srikanta Tirthapura, Costas Busch