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» Improved upper bounds for 3-SAT
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SODA
2001
ACM
93views Algorithms» more  SODA 2001»
13 years 9 months ago
Improved algorithms for 3-coloring, 3-edge-coloring, and constraint satisfaction
We consider worst case time bounds for NP-complete problems including 3-SAT, 3-coloring, 3-edge-coloring, and 3list-coloring. Our algorithms are based on a constraint satisfaction...
David Eppstein
TIT
2002
78views more  TIT 2002»
13 years 8 months ago
Improved upper bounds on sizes of codes
Let ( ) denote the maximum possible number of codewords in a binary code of length and minimum Hamming distance . For large values of , the best known upper bound, for fixed , is t...
Beniamin Mounits, Tuvi Etzion, Simon Litsyn
DAM
2008
111views more  DAM 2008»
13 years 8 months ago
Sums of squares based approximation algorithms for MAX-SAT
We investigate the Semidefinite Programming based Sums of squares (SOS) decomposition method, designed for global optimization of polynomials, in the context of the (Maximum) Sati...
Hans van Maaren, Linda van Norden, M. J. H. Heule
DM
2008
104views more  DM 2008»
13 years 8 months ago
Improved upper and lower bounds on the feedback vertex numbers of grids and butterflies
We improve upon the best known upper and lower bounds on the sizes of minimal feedback vertex sets in butterflies. Also, we construct new feedback vertex sets in grids so that for...
Florent R. Madelaine, Iain A. Stewart
CORR
2004
Springer
76views Education» more  CORR 2004»
13 years 8 months ago
Improved Upper Bound for the Redundancy of Fix-Free Codes
A variable-length code is a fix-free code if no codeword is a prefix or a suffix of any other codeword. In a fix-free code any finite sequence of codewords can be decoded in both d...
Sergey Yekhanin