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TOMS
2010
106views more  TOMS 2010»
13 years 5 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»
14 years 1 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
14 years 1 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 8 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 7 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 ...