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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 ...
TALG
2010
110views more  TALG 2010»
13 years 2 months ago
Approximating fractional hypertree width
Fractional hypertree width is a hypergraph measure similar to tree width and hypertree width. Its algorithmic importance comes from the fact that, as shown in previous work [14], ...
Dániel Marx
ICDT
2010
ACM
137views Database» more  ICDT 2010»
13 years 3 months ago
A Greedy Algorithm for Constructing a Low-Width Generalized Hypertree Decomposition
We propose a greedy algorithm which, given a hypergraph H and a positive integer k, produces a hypertree decomposition of width less than or equal to 3k −1, or determines that H...
Kaoru Katayama, Tatsuro Okawara, Yuka Itou
IPL
2007
130views more  IPL 2007»
13 years 4 months ago
Linear structure of bipartite permutation graphs and the longest path problem
The class of bipartite permutation graphs is the intersection of two well known graph classes: bipartite graphs and permutation graphs. A complete bipartite decomposition of a bip...
Ryuhei Uehara, Gabriel Valiente
ACTAC
2006
101views more  ACTAC 2006»
13 years 4 months ago
Cycle Structure in Automata and the Holonomy Decomposition
The algebraic hierarchical decomposition of finite state automata can be applied wherever a finite system should be `understood' using a hierarchical coordinate system. Here ...
Attila Egri-Nagy, Chrystopher L. Nehaniv