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» On the number of maximal independent sets in a graph
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FAW
2007
Springer
110views Algorithms» more  FAW 2007»
13 years 12 months ago
Maximizing the Number of Independent Labels in the Plane
In this paper, we consider a map labeling problem to maximize the number of independent labels in the plane. We first investigate the point labeling model that each label can be ...
Kuen-Lin Yu, Chung-Shou Liao, Der-Tsai Lee
AUSAI
2005
Springer
13 years 11 months ago
Fuzzy Attribute Implications: Computing Non-redundant Bases Using Maximal Independent Sets
Abstract. This note describes a method for computation of non-redundant bases of attribute implications from data tables with fuzzy attributes. Attribute implications are formulas ...
Radim Belohlávek, Vilém Vychodil
ORL
2007
102views more  ORL 2007»
13 years 5 months ago
Using critical sets to solve the maximum independent set problem
A method that utilizes the polynomially solvable critical independent set problem for solving the maximum independent set problem on graphs with a nonempty critical independent se...
Sergiy Butenko, Svyatoslav Trukhanov
DM
2008
70views more  DM 2008»
13 years 5 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
DM
2008
177views more  DM 2008»
13 years 5 months ago
The independence number in graphs of maximum degree three
We prove that a K4-free graph G of order n, size m and maximum degree at most three has an independent set of cardinality at least 1 7 (4n - m - - tr) where counts the number of c...
Jochen Harant, Michael A. Henning, Dieter Rautenba...