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ARITH
2005
IEEE
15 years 3 months ago
Arithmetic Operations in the Polynomial Modular Number System
We propose a new number representation and arithmetic for the elements of the ring of integers modulo p. The socalled Polynomial Modular Number System (PMNS) allows for fast polyn...
Jean-Claude Bajard, Laurent Imbert, Thomas Plantar...
ALGORITHMICA
2011
14 years 4 months ago
Crossing Numbers of Graphs with Rotation Systems
We show that computing the crossing number and the odd crossing number of a graph with a given rotation system is NP-complete. As a consequence we can show that many of the well-k...
Michael J. Pelsmajer, Marcus Schaefer, Daniel Stef...
WSC
2008
14 years 12 months ago
A plug-in-based architecture for random number generation in simulation systems
Simulations often depend heavily on random numbers, yet the impact of random number generators is recognized seldom. The generation of random numbers for simulations is not trivia...
Roland Ewald, Johannes Rossel, Jan Himmelspach, Ad...
GD
2007
Springer
15 years 3 months ago
Crossing Number of Graphs with Rotation Systems
We show that computing the crossing number of a graph with a given rotation system is NP-complete. This result leads to a new and much simpler proof of Hlinˇen´y’s result, tha...
Michael J. Pelsmajer, Marcus Schaefer, Daniel Stef...
ASAP
1996
IEEE
94views Hardware» more  ASAP 1996»
15 years 1 months ago
A New Euclidean Division Algorithm For Residue Number Systems
We propose in this paper a new algorithm and architecture for performing divisions in residue number systems. Our algorithm is suitable for residue number systems with large modul...
Jean-Claude Bajard, Laurent-Stéphane Didier...