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ENTCS
2008
97views more  ENTCS 2008»
15 years 6 months ago
An Algorithm for Approximating the Satisfiability Problem of High-level Conditions
The satisfiability problem is the fundamental problem in proving the conflict-freeness of specifications, or in finding a counterexample for an invalid statement. In this paper, w...
Karl-Heinz Pennemann
CORR
2006
Springer
68views Education» more  CORR 2006»
15 years 6 months ago
A rigorous proof of the cavity method for counting matchings
In this paper we rigorously prove the validity of the cavity method for the problem of counting the number of matchings in graphs with large girth. Cavity method is an important he...
Mohsen Bayati, Chandra Nair
CORR
2006
Springer
98views Education» more  CORR 2006»
15 years 6 months ago
A field-theory motivated approach to symbolic computer algebra
Field theory is an area in physics with a deceptively compact notation. Although general purpose computer algebra systems, built around generic list-based data structures, can be ...
Kasper Peeters
CORR
2006
Springer
127views Education» more  CORR 2006»
15 years 6 months ago
Post-Processing Hierarchical Community Structures: Quality Improvements and Multi-scale View
Dense sub-graphs of sparse graphs (communities), which appear in most real-world complex networks, play an important role in many contexts. Most existing community detection algori...
Pascal Pons
IANDC
2006
82views more  IANDC 2006»
15 years 6 months ago
Recognizability, hypergraph operations, and logical types
We study several algebras of graphs and hypergraphs and the corresponding notions of equational sets and recognizable sets. We generalize and unify several existing results which ...
Achim Blumensath, Bruno Courcelle