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WG
2005
Springer
15 years 3 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»
14 years 8 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
74
Voted
ICDT
2010
ACM
137views Database» more  ICDT 2010»
14 years 9 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»
14 years 10 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»
14 years 10 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