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» A General Polynomial Sieve
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CORR
2008
Springer
58views Education» more  CORR 2008»
13 years 10 months ago
On Ritt's decomposition Theorem in the case of finite fields
11 A classical theorem by Ritt states that all the complete decomposition chains of a univariate polynomial satisfying a certain tameness condition have the same length. In this p...
Jaime Gutierrez, David Sevilla
JCT
2007
90views more  JCT 2007»
13 years 10 months ago
Enumeration problems for classes of self-similar graphs
We describe a general construction principle for a class of self-similar graphs. For various enumeration problems, we show that this construction leads to polynomial systems of rec...
Elmar Teufl, Stephan Wagner
ORL
1998
97views more  ORL 1998»
13 years 9 months ago
The complexity of cover inequality separation
Crowder et al. (Oper. Res. 31 (1983) 803–834) conjectured that the separation problem for cover inequalities for binary integer programs is polynomially solvable. We show that t...
Diego Klabjan, George L. Nemhauser, Craig A. Tovey
ADCM
2008
119views more  ADCM 2008»
13 years 8 months ago
Bounds on the dimensions of trivariate spline spaces
We derive upper and lower bounds on the dimensions of trivariate spline spaces defined on tetrahedral partitions. The results hold for general partitions, and for all degrees of sm...
Peter Alfeld, Larry L. Schumaker
STOC
2006
ACM
115views Algorithms» more  STOC 2006»
14 years 10 months ago
Zero knowledge with efficient provers
We prove that every problem in NP that has a zero-knowledge proof also has a zero-knowledge proof where the prover can be implemented in probabilistic polynomial time given an NP ...
Minh-Huyen Nguyen, Salil P. Vadhan