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» Tree-Related Widths of Graphs and Hypergraphs
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SIAMDM
2008
100views more  SIAMDM 2008»
13 years 5 months ago
Tree-Related Widths of Graphs and Hypergraphs
A hypergraph pair is a pair (G, H) where G and H are hypergraphs on the same set of vertices. We extend the definitions of hypertree-width [7] and generalised hypertree-width [8] ...
Isolde Adler
EJC
2007
13 years 5 months ago
Hypertree width and related hypergraph invariants
We study the notion of hypertree width of hypergraphs. We prove that, up to a constant factor, hypertree width is the same as a number of other hypergraph invariants that resemble...
Isolde Adler, Georg Gottlob, Martin Grohe
STACS
2009
Springer
14 years 1 days ago
Approximating Acyclicity Parameters of Sparse Hypergraphs
The notions of hypertree width and generalized hypertree width were introduced by Gottlob, Leone, and Scarcello in order to extend the concept of hypergraph acyclicity. These noti...
Fedor V. Fomin, Petr A. Golovach, Dimitrios M. Thi...
STACS
2009
Springer
14 years 1 days ago
Tractable Structures for Constraint Satisfaction with Truth Tables
The way the graph structure of the constraints influences the complexity of constraint satisfaction problems (CSP) is well understood for bounded-arity constraints. The situation...
Dániel Marx
WG
2005
Springer
13 years 10 months ago
Hypertree Decompositions: Structure, Algorithms, and Applications
We review the concepts of hypertree decomposition and hypertree width from a graph theoretical perspective and report on a number of recent results related to these concepts. We al...
Georg Gottlob, Martin Grohe, Nysret Musliu, Marko ...