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STACS
2000
Springer
14 years 11 days ago
The Complexity of Planarity Testing
We clarify the computational complexity of planarity testing, by showing that planarity testing is hard for L, and lies in SL. This nearly settles the question, since it is widely...
Eric Allender, Meena Mahajan
STOC
2007
ACM
239views Algorithms» more  STOC 2007»
14 years 9 months ago
Approximating minimum bounded degree spanning trees to within one of optimal
In the MINIMUM BOUNDED DEGREE SPANNING TREE problem, we are given an undirected graph with a degree upper bound Bv on each vertex v, and the task is to find a spanning tree of min...
Mohit Singh, Lap Chi Lau
ECCC
2011
202views ECommerce» more  ECCC 2011»
13 years 3 months ago
New strong direct product results in communication complexity
We show two new direct product results in two different models of communication complexity. Our first result is in the model of one-way public-coin model. Let f ⊆ X × Y × Z ...
Rahul Jain
CADE
1999
Springer
14 years 1 months ago
A PSpace Algorithm for Graded Modal Logic
We present a PSpace algorithm that decides satisfiability of the graded modal logic Gr(KR)—a natural extension of propositional modal logic KR by counting expressions—which pl...
Stephan Tobies
APPROX
2006
Springer
105views Algorithms» more  APPROX 2006»
14 years 16 days ago
Space Complexity vs. Query Complexity
Abstract. Combinatorial property testing deals with the following relaxation of decision problems: Given a fixed property and an input x, one wants to decide whether x satisfies th...
Oded Lachish, Ilan Newman, Asaf Shapira