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» Modular Decomposition of Hypergraphs
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WG
1995
Springer
14 years 2 months ago
Modular Decomposition of Hypergraphs
We propose an O(n4) algorithm to build the modular decomposition tree of hypergraphs of dimension 3 and show how this algorithm can be generalized to compute in O(n3k−5) time th...
Paola Bonizzoni, Gianluca Della Vedova
DM
2010
85views more  DM 2010»
13 years 11 months ago
Hamiltonian decompositions of complete k-uniform hypergraphs
Using a generalisation of Hamiltonian cycles to uniform hypergraphs due to Katona and Kierstead, we define a new notion of a Hamiltonian decomposition of a uniform hypergraph. We ...
Robert F. Bailey, Brett Stevens
WG
2005
Springer
14 years 4 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 ...
PODS
2007
ACM
159views Database» more  PODS 2007»
14 years 11 months ago
Generalized hypertree decompositions: np-hardness and tractable variants
The generalized hypertree width GHW(H) of a hypergraph H is a measure of its cyclicity. Classes of conjunctive queries or constraint satisfaction problems whose associated hypergr...
Georg Gottlob, Thomas Schwentick, Zoltán Mi...
FOIKS
2008
Springer
14 years 21 days ago
Autonomous Sets - A Method for Hypergraph Decomposition with Applications in Database Theory
We present a method for decomposing a hypergraph with certain regularities into smaller hypergraphs. By applying this to the set of all canonical covers of a given set of functiona...
Henning Köhler