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PR
2008
206views more  PR 2008»
13 years 8 months ago
A study of graph spectra for comparing graphs and trees
The spectrum of a graph has been widely used in graph theory to characterise the properties of a graph and extract information from its structure. It has also been employed as a g...
Richard C. Wilson, Ping Zhu
CORR
2008
Springer
124views Education» more  CORR 2008»
13 years 8 months ago
A New Upper Bound for Max-2-Sat: A Graph-Theoretic Approach
In MaxSat, we ask for an assignment which satisfies the maximum number of clauses for a boolean formula in CNF. We present an algorithm yielding a run time upper bound of O (2 K 6....
Daniel Raible, Henning Fernau
COMPGEOM
2010
ACM
14 years 1 months ago
Adding one edge to planar graphs makes crossing number hard
A graph is near-planar if it can be obtained from a planar graph by adding an edge. We show that it is NP-hard to compute the crossing number of near-planar graphs. The main idea ...
Sergio Cabello, Bojan Mohar
UAI
2004
13 years 9 months ago
On the Choice of Regions for Generalized Belief Propagation
Generalized belief propagation (GBP) has proven to be a promising technique for approximate inference tasks in AI and machine learning. However, the choice of a good set of cluste...
Max Welling
CORR
2006
Springer
128views Education» more  CORR 2006»
13 years 8 months ago
The Shannon capacity of a graph and the independence numbers of its powers
The independence numbers of powers of graphs have been long studied, under several definitions of graph products, and in particular, under the strong graph product. We show that t...
Noga Alon, Eyal Lubetzky