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DM
2008
70views more  DM 2008»
13 years 11 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 11 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
14 years 4 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 11 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