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» An Algebraic Theory of Graph Reduction
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STOC
2004
ACM
121views Algorithms» more  STOC 2004»
14 years 7 months ago
Lower bounds for dynamic connectivity
We prove an (lg n) cell-probe lower bound on maintaining connectivity in dynamic graphs, as well as a more general trade-off between updates and queries. Our bound holds even if t...
Mihai Patrascu, Erik D. Demaine
EUROCOLT
1995
Springer
13 years 11 months ago
The structure of intrinsic complexity of learning
Limiting identification of r.e. indexes for r.e. languages (from a presentation of elements of the language) and limiting identification of programs for computable functions (fr...
Sanjay Jain, Arun Sharma
FOCS
2009
IEEE
14 years 2 months ago
Reducibility among Fractional Stability Problems
— In a landmark paper [32], Papadimitriou introduced a number of syntactic subclasses of TFNP based on proof styles that (unlike TFNP) admit complete problems. A recent series of...
Shiva Kintali, Laura J. Poplawski, Rajmohan Rajara...
STOC
2002
ACM
126views Algorithms» more  STOC 2002»
14 years 7 months ago
Polynomial-time quantum algorithms for Pell's equation and the principal ideal problem
We give polynomial-time quantum algorithms for three problems from computational algebraic number theory. The first is Pell's equation. Given a positive nonsquare integer d, ...
Sean Hallgren
AUTOMATICA
2008
139views more  AUTOMATICA 2008»
13 years 7 months ago
Structured low-rank approximation and its applications
Fitting data by a bounded complexity linear model is equivalent to low-rank approximation of a matrix constructed from the data. The data matrix being Hankel structured is equival...
Ivan Markovsky