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TCS
2011
14 years 11 months ago
Bounds for the generalized repetition threshold
The notion of repetition threshold, which is the object of Dejean’s conjecture (1972), was generalized by Ilie, Ochem, and Shallit in 2005, to include the lengths of the avoided ...
Francesca Fiorenzi, Pascal Ochem, Elise Vaslet
COCO
2009
Springer
78views Algorithms» more  COCO 2009»
15 years 11 months ago
Fixed-Polynomial Size Circuit Bounds
—In 1982, Kannan showed that ΣP 2 does not have nk -sized circuits for any k. Do smaller classes also admit such circuit lower bounds? Despite several improvements of Kannan’s...
Lance Fortnow, Rahul Santhanam, Ryan Williams
CRYPTO
2006
Springer
111views Cryptology» more  CRYPTO 2006»
15 years 8 months ago
Tight Bounds for Unconditional Authentication Protocols in the Manual Channel and Shared Key Models
We address the message authentication problem in two seemingly different communication models. In the first model, the sender and receiver are connected by an insecure channel and...
Moni Naor, Gil Segev, Adam Smith
COR
2007
90views more  COR 2007»
15 years 4 months ago
Analysis of bounds for a capacitated single-item lot-sizing problem
Lot-sizing problems are cornerstone optimization problems for production planning with time varying demand. We analyze the quality of bounds, both lower and upper, provided by a r...
Jill R. Hardin, George L. Nemhauser, Martin W. P. ...
SIAMDM
2008
140views more  SIAMDM 2008»
15 years 4 months ago
Bounds for the Real Number Graph Labellings and Application to Labellings of the Triangular Lattice
We establish new lower and upper bounds for the real number graph labelling problem. As an application, we completely determine the optimum spans of L(p, q)-labellings of the infin...
Daniel Král, Petr Skoda