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» Complexity Results on Graphs with Few Cliques
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WG
2005
Springer
14 years 29 days ago
Computation of Chromatic Polynomials Using Triangulations and Clique Trees
In this paper, we present a new algorithm for computing the chromatic polynomial of a general graph G. Our method is based on the addition of edges and contraction of non-edges of ...
Pascal Berthomé, Sylvain Lebresne, Kim Nguy...
CVPR
2009
IEEE
15 years 2 months ago
Higher-Order Clique Reduction in Binary Graph Cut
We introduce a new technique that can reduce any higher-order Markov random field with binary labels into a first-order one that has the same minima as the original. Moreover, w...
Hiroshi Ishikawa 0002
COCO
2010
Springer
152views Algorithms» more  COCO 2010»
13 years 11 months ago
A Log-Space Algorithm for Reachability in Planar Acyclic Digraphs with Few Sources
Designing algorithms that use logarithmic space for graph reachability problems is fundamental to complexity theory. It is well known that for general directed graphs this problem...
Derrick Stolee, Chris Bourke, N. V. Vinodchandran
JMLR
2010
118views more  JMLR 2010»
13 years 2 months ago
Exploiting Within-Clique Factorizations in Junction-Tree Algorithms
It is probably fair to say that exact inference in graphical models is considered a solved problem, at least regarding its computational complexity: it is exponential in the treew...
Julian John McAuley, Tibério S. Caetano
FCS
2009
13 years 5 months ago
The Importance of Symmetric Representation
- A representation for a set is defined to be symmetric if the space required for the representation of the set is the same as the space required for representation of the set'...
Thomas O'Neil