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88
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EP
1998
Springer
15 years 4 months ago
Mathematical Tools for Computer-Generated Ornamental Patterns
This article presents mathematical tools for computer-generated ornamental patterns, with a particular attention payed to Islamic patterns. The article shows how, starting from a p...
Victor Ostromoukhov
98
Voted
STACS
2001
Springer
15 years 4 months ago
A Logical Approach to Decidability of Hierarchies of Regular Star-Free Languages
We propose a new, logical, approach to the decidability problem for the Straubing and Brzozowski hierarchies based on the preservation theorems from model theory, on a theorem of ...
Victor L. Selivanov
99
Voted
FCT
2007
Springer
15 years 4 months ago
Factorisation Forests for Infinite Words
The theorem of factorisation forests shows the existence of nested factorisations -- a la Ramsey -- for finite words. This theorem has important applications in semigroup theory, a...
Thomas Colcombet
SIAMCOMP
2002
113views more  SIAMCOMP 2002»
15 years 4 days ago
A Layered Analysis of Consensus
This paper introduces a simple notion of layering as a tool for analyzing well-behaved runs of a given model of distributed computation. Using layering, a model-independent analysi...
Yoram Moses, Sergio Rajsbaum
109
Voted
FOCS
2006
IEEE
15 years 6 months ago
Computing Nash Equilibria: Approximation and Smoothed Complexity
We advance significantly beyond the recent progress on the algorithmic complexity of Nash equilibria by solving two major open problems in the approximation of Nash equilibria an...
Xi Chen, Xiaotie Deng, Shang-Hua Teng