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» Lattice computations for random numbers
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TOMS
2010
106views more  TOMS 2010»
13 years 7 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»
14 years 2 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
14 years 2 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»
13 years 9 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
14 years 16 days 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