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DM
2008
70views more  DM 2008»
13 years 4 months ago
On the number of minimal transversals in 3-uniform hypergraphs
We prove that the number of minimal transversals (and also the number of maximal independent sets) in a 3-uniform hypergraph with n vertices is at most cn , where c
Zbigniew Lonc, Miroslaw Truszczynski
COMBINATORICA
2007
81views more  COMBINATORICA 2007»
13 years 4 months ago
Total domination of graphs and small transversals of hypergraphs
The main result of this paper is that every 4-uniform hypergraph on n vertices and m edges has a transversal with no more than (5n + 4m)/21 vertices. In the particular case n = m,...
Stéphan Thomassé, Anders Yeo
FCT
2003
Springer
13 years 10 months ago
On a Logical Approach to Estimating Computational Complexity of Potentially Intractable Problems
Abstract. In the paper we present a purely logical approach to estimating computational complexity of potentially intractable problems. The approach is based on descriptive complex...
Andrzej Szalas
STOC
2002
ACM
91views Algorithms» more  STOC 2002»
14 years 5 months ago
New results on monotone dualization and generating hypergraph transversals
This paper considers the problem of dualizing a monotone CNF (equivalently, computing all minimal transversals of a hypergraph), whose associated decision problem is a prominent o...
Thomas Eiter, Georg Gottlob, Kazuhisa Makino