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STACS
2010
Springer
14 years 2 months ago
Unsatisfiable Linear CNF Formulas Are Large and Complex
We call a CNF formula linear if any two clauses have at most one variable in common. We show that there exist unsatisfiable linear k-CNF formulas with at most 4k2 4k clauses, and ...
Dominik Scheder
COMPGEOM
2006
ACM
14 years 1 months ago
Medial axis approximation and unstable flow complex
The medial axis of a shape is known to carry a lot of information about it. In particular a recent result of Lieutier establishes that every bounded open subset of Rn has the same...
Joachim Giesen, Edgar A. Ramos, Bardia Sadri
MICAI
2005
Springer
14 years 1 months ago
Directed Cycles in Bayesian Belief Networks: Probabilistic Semantics and Consistency Checking Complexity
Although undirected cycles in directed graphs of Bayesian belief networks have been thoroughly studied, little attention has so far been given to a systematic analysis of directed ...
Alexander L. Tulupyev, Sergey I. Nikolenko
AAAI
2008
13 years 10 months ago
Phase Transitions and Complexity of Weighted Satisfiability and Other Intractable Parameterized Problems
The study of random instances of NP complete and coNP complete problems has had much impact on our understanding of the nature of hard problems. In this work, we initiate an effor...
Yong Gao
ALGOSENSORS
2008
Springer
13 years 9 months ago
Target Counting under Minimal Sensing: Complexity and Approximations
We consider the problem of counting a set of discrete point targets using a network of sensors under a minimalistic model. Each sensor outputs a single integer, the number of disti...
Sorabh Gandhi, Rajesh Kumar 0003, Subhash Suri