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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...
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 ...
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 ...
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...
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...