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» Improving Bound Propagation
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STOC
2010
ACM
244views Algorithms» more  STOC 2010»
14 years 4 months ago
Improving Exhaustive Search Implies Superpolynomial Lower Bounds
The P vs NP problem arose from the question of whether exhaustive search is necessary for problems with short verifiable solutions. We do not know if even a slight algorithmic imp...
Ryan Williams
TIT
2008
52views more  TIT 2008»
13 years 7 months ago
Some Improved Bounds for Secure Frameproof Codes and Related Separating Hash Families
We present some improved bounds on necessary conditions for separating hash families of type {w, w} and type {w, w - 1}. In particular, these bounds apply to secure frameproof cod...
Douglas R. Stinson, Gregory M. Zaverucha
TIT
2008
103views more  TIT 2008»
13 years 7 months ago
Improved Probabilistic Bounds on Stopping Redundancy
For a linear code , the stopping redundancy of is defined as the minimum number of check nodes in a Tanner graph T for such that the size of the smallest stopping set in T is equal...
Junsheng Han, Paul H. Siegel, Alexander Vardy
CORR
2010
Springer
111views Education» more  CORR 2010»
13 years 7 months ago
Improved complexity bounds for real root isolation using Continued Fractions
We consider the problem of isolating the real roots of a square-free polynomial with integer coefficients using (variants of) the continued fraction algorithm (CF). We introduce a...
Elias P. Tsigaridas
EJC
2006
13 years 7 months ago
Improving diameter bounds for distance-regular graphs
In this paper we study the sequence (ci)0id for a distance-regular graph. In particular we show that if d 2j and cj = c > 1 then c2j > c holds. Using this we give improveme...
Sejeong Bang, Akira Hiraki, Jacobus H. Koolen