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» Polynomial Interpretations and the Complexity of Algorithms
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CORR
2011
Springer
186views Education» more  CORR 2011»
14 years 6 months ago
On the Complexity of Solving a Bivariate Polynomial System
We study the complexity of computing the real solutions of a bivariate polynomial system using the recently proposed algorithm Bisolve [3]. Bisolve is a classical elimination metho...
Pavel Emeliyanenko, Michael Sagraloff
SAS
2005
Springer
132views Formal Methods» more  SAS 2005»
15 years 5 months ago
Generation of Basic Semi-algebraic Invariants Using Convex Polyhedra
A technique for generating invariant polynomial inequalities of bounded degree is presented using the abstract interpretation framework. It is based on overapproximating basic semi...
Roberto Bagnara, Enric Rodríguez-Carbonell,...
103
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CSR
2009
Springer
15 years 6 months ago
On the Complexity of Matroid Isomorphism Problems
We study the complexity of testing if two given matroids are isomorphic. The problem is easily seen to be in Σp 2 . In the case of linear matroids, which are represented over poly...
B. V. Raghavendra Rao, Jayalal M. N. Sarma
COCO
2001
Springer
161views Algorithms» more  COCO 2001»
15 years 4 months ago
Communication Complexity Lower Bounds by Polynomials
The quantum version of communication complexity allows the two communicating parties to exchange qubits and/or to make use of prior entanglement (shared EPRpairs). Some lower boun...
Harry Buhrman, Ronald de Wolf
93
Voted
FOCS
2003
IEEE
15 years 4 months ago
Polynomial Degree vs. Quantum Query Complexity
The degree of a polynomial representing (or approximating) a function f is a lower bound for the quantum query complexity of f. This observation has been a source of many lower bo...
Andris Ambainis