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CSR
2007
Springer
14 years 2 months ago
On the Complexity of Matrix Rank and Rigidity
We revisit a well studied linear algebraic problem, computing the rank and determinant of matrices, in order to obtain completeness results for small complexity classes. In partic...
Meena Mahajan, Jayalal M. N. Sarma
ISAAC
2003
Springer
133views Algorithms» more  ISAAC 2003»
14 years 1 months ago
The Intractability of Computing the Hamming Distance
Given a string x and a language L, the Hamming distance of x to L is the minimum Hamming distance of x to any string in L. The edit distance of a string to a language is analogous...
Bodo Manthey, Rüdiger Reischuk
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
FOCS
2009
IEEE
14 years 2 months ago
The Quantum and Classical Complexity of Translationally Invariant Tiling and Hamiltonian Problems
— We study the complexity of a class of problems involving satisfying constraints which remain the same under translations in one or more spatial directions. In this paper, we sh...
Daniel Gottesman, Sandy Irani
SPIN
2009
Springer
14 years 2 months ago
Automatic Discovery of Transition Symmetry in Multithreaded Programs Using Dynamic Analysis
While symmetry reduction has been established to be an important technique for reducing the search space in model checking, its application in concurrent software verification is ...
Yu Yang, Xiaofang Chen, Ganesh Gopalakrishnan, Cha...