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TOMS
2010
106views more  TOMS 2010»
13 years 3 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
SBACPAD
2006
IEEE
148views Hardware» more  SBACPAD 2006»
13 years 11 months ago
Scalable Parallel Implementation of Bayesian Network to Junction Tree Conversion for Exact Inference
We present a scalable parallel implementation for converting a Bayesian network to a junction tree, which can then be used for a complete parallel implementation for exact inferen...
Vasanth Krishna Namasivayam, Animesh Pathak, Vikto...
FOCS
2008
IEEE
13 years 11 months ago
Computing the Tutte Polynomial in Vertex-Exponential Time
The deletion–contraction algorithm is perhaps the most popular method for computing a host of fundamental graph invariants such as the chromatic, flow, and reliability polynomi...
Andreas Björklund, Thore Husfeldt, Petteri Ka...
SODA
2004
ACM
115views Algorithms» more  SODA 2004»
13 years 6 months ago
Minimizing the stabbing number of matchings, trees, and triangulations
The (axis-parallel) stabbing number of a given set of line segments is the maximum number of segments that can be intersected by any one (axis-parallel) line. We investigate probl...
Sándor P. Fekete, Marco E. Lübbecke, H...
ALMOB
2006
89views more  ALMOB 2006»
13 years 5 months ago
On the maximal cliques in c-max-tolerance graphs and their application in clustering molecular sequences
Given a set S of n locally aligned sequences, it is a needed prerequisite to partition it into groups of very similar sequences to facilitate subsequent computations, such as the ...
Katharina Anna Lehmann, Michael Kaufmann, Stephan ...