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» Lattice computations for random numbers
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TOMS
2010
106views more  TOMS 2010»
15 years 4 months ago
Computing Tutte Polynomials
The Tutte polynomial of a graph, also known as the partition function of the q-state Potts model, is a 2-variable polynomial graph invariant of considerable importance in both comb...
Gary Haggard, David J. Pearce, Gordon Royle
ISSAC
2005
Springer
105views Mathematics» more  ISSAC 2005»
15 years 11 months ago
Computing the rank and a small nullspace basis of a polynomial matrix
We reduce the problem of computing the rank and a nullspace basis of a univariate polynomial matrix to polynomial matrix multiplication. For an input n×n matrix of degree d over ...
Arne Storjohann, Gilles Villard
BIRTHDAY
2003
Springer
15 years 11 months ago
Computational Proof as Experiment: Probabilistic Algorithms from a Thermodynamic Perspective
Abstract. A novel framework for the design and analysis of energy-aware algorithms is presented, centered around a deterministic Bit-level (Boltzmann) Random Access Machine or BRAM...
Krishna V. Palem
JPDC
2008
129views more  JPDC 2008»
15 years 5 months ago
A framework for scalable greedy coloring on distributed-memory parallel computers
We present a scalable framework for parallelizing greedy graph coloring algorithms on distributed-memory computers. The framework unifies several existing algorithms and blends a ...
Doruk Bozdag, Assefaw Hadish Gebremedhin, Fredrik ...
ISTCS
1995
Springer
15 years 9 months ago
Computation of Highly Regular Nearby Points
We call a vector x 2 IRn highly regular if it satis es < x m >= 0 for some short, non{zero integer vector m where < : : > is the inner product. We present an algorithm...
Carsten Rössner, Claus-Peter Schnorr