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» On Polynomial Time Computation over Unordered Structures
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ICASSP
2011
IEEE
13 years 8 days ago
Rank-deficient quadratic-form maximization over M-phase alphabet: Polynomial-complexity solvability and algorithmic developments
The maximization of a positive (semi)definite complex quadratic form over a finite alphabet is NP-hard and achieved through exhaustive search when the form has full rank. Howeve...
Anastasios T. Kyrillidis, George N. Karystinos
FOCS
2002
IEEE
14 years 1 months ago
Linear Diophantine Equations over Polynomials and Soft Decoding of Reed-Solomon Codes
Abstract—This paper generalizes the classical Knuth–Schönhage algorithm computing the greatest common divisor (gcd) of two polynomials for solving arbitrary linear Diophantine...
Michael Alekhnovich
PODS
2006
ACM
137views Database» more  PODS 2006»
14 years 8 months ago
Data exchange: computing cores in polynomial time
Data exchange deals with inserting data from one database into another database having a different schema. We study and solve a central computational problem of data exchange, nam...
Georg Gottlob, Alan Nash
CORR
1999
Springer
65views Education» more  CORR 1999»
13 years 8 months ago
Unambiguous Computation: Boolean Hierarchies and Sparse Turing-Complete Sets
It is known that for any class C closed under union and intersection, the Boolean closure of C, the Boolean hierarchy over C, and the symmetric difference hierarchy over C all are ...
Lane A. Hemaspaandra, Jörg Rothe
MFCS
2005
Springer
14 years 2 months ago
Tight Approximability Results for the Maximum Solution Equation Problem over Zp
In the maximum solution equation problem a collection of equations are given over some algebraic structure. The objective is to find an assignment to the variables in the equation...
Fredrik Kuivinen