Easy problems for tree-decomposable graphs
Journal of Algorithms
Journal of Combinatorial Theory Series B
Multicuts in unweighted graphs and digraphs with bounded degree and bounded tree-width
Journal of Algorithms
On complexity of single-minded auction
Journal of Computer and System Sciences
Generalized hypertree decompositions: np-hardness and tractable variants
Proceedings of the twenty-sixth ACM SIGMOD-SIGACT-SIGART symposium on Principles of database systems
Hypertree decompositions: structure, algorithms, and applications
WG'05 Proceedings of the 31st international conference on Graph-Theoretic Concepts in Computer Science
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We introduce hyper-D-width and hyper-T-width as the first stable (see Definition 3) measures of connectivity for hypergraphs. After studying some of their properties and, in particular, proposing an algorithm for computing nearly optimal hyper-T-decomposition when hyper-T-width is constant, we introduce some applications of hyper-D-width and hyper-T-width in solving hard problems such as minimum vertex cover, minimum dominating set, and multicut.