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DM
2010
89views more  DM 2010»
13 years 8 months ago
Polynomial-time dualization of r-exact hypergraphs with applications in geometry
Let H 2V be a hypergraph on vertex set V . For a positive integer r, we call H r-exact, if any minimal transversal of H intersects any hyperedge of H in at most r vertices. This ...
Khaled M. Elbassioni, Imran Rauf
SIAMCOMP
2000
109views more  SIAMCOMP 2000»
13 years 8 months ago
Dual-Bounded Generating Problems: Partial and Multiple Transversals of a Hypergraph
Abstract. We consider two natural generalizations of the notion of transversal to a finite hypergraph, arising in data-mining and machine learning, the so called multiple and parti...
Endre Boros, Vladimir Gurvich, Leonid Khachiyan, K...
GD
2009
Springer
14 years 1 months ago
On Planar Supports for Hypergraphs
A graph G is a support for a hypergraph H = (V, S) if the vertices of G correspond to the vertices of H such that for each hyperedge Si ∈ S the subgraph of G induced by Si is co...
Kevin Buchin, Marc J. van Kreveld, Henk Meijer, Be...
WG
1993
Springer
14 years 18 days ago
Dually Chordal Graphs
Recently in several papers, graphs with maximum neighborhood orderings were characterized and turned out to be algorithmically useful. This paper gives a unified framework for cha...
Andreas Brandstädt, Feodor F. Dragan, Victor ...
ICALP
2001
Springer
14 years 1 months ago
Testing Hypergraph Coloring
In this paper we initiate the study of testing properties of hypergraphs. The goal of property testing is to distinguish between the case whether a given object has a certain prope...
Artur Czumaj, Christian Sohler