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» Improving Bound Propagation
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STOC
2010
ACM
244views Algorithms» more  STOC 2010»
15 years 9 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»
14 years 11 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»
14 years 11 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»
14 years 12 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
14 years 12 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