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MP
2010
128views more  MP 2010»
15 years 4 months ago
Copositivity cuts for improving SDP bounds on the clique number
Adding cuts based on copositive matrices, we propose to improve Lov´asz’ bound θ on the clique number and its tightening θ introduced by McEliece, Rodemich, Rumsey, and Schri...
Immanuel M. Bomze, Florian Frommlet, Marco Locatel...
STOC
2010
ACM
244views Algorithms» more  STOC 2010»
16 years 3 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»
15 years 5 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»
15 years 5 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»
15 years 6 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