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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»
15 years 5 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
15 years 5 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»
14 years 11 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»
14 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
DM
2008
177views more  DM 2008»
14 years 11 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...