Similar to the tree-width (twd), the clique-width (cwd) is an invariant of graphs. A well known relationship between tree-width and clique-width is that cwd(G) <= 3. 2(twd(G)) (1. I)t is also known that tree-width of Cactus graphs is 2, therefore the clique-width for those graphs is smaller or equal than 6. In this paper, it is shown that the clique-width of Cactus graphs is smaller or equal to 4 and we present a polynomial time algorithm which computes exactly a 4-expression.
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Univ Libre Bruxelles, Dept Informat, B-1050 Brussels, BelgiumUniv Warwick, DIMAP, Coventry CV4 7AL, W Midlands, England
Kaminski, Marcin
Lozin, Vadim V.
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Univ Warwick, DIMAP, Coventry CV4 7AL, W Midlands, England
Univ Warwick, Math Inst, Coventry CV4 7AL, W Midlands, EnglandUniv Warwick, DIMAP, Coventry CV4 7AL, W Midlands, England
Lozin, Vadim V.
Milanic, Martin
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Univ Bielefeld, AG Genome Informat, Fac Technol, D-4800 Bielefeld, GermanyUniv Warwick, DIMAP, Coventry CV4 7AL, W Midlands, England
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Univ Warwick, DIMAP, Coventry CV4 7AL, W Midlands, England
Univ Warwick, Math Inst, Coventry CV4 7AL, W Midlands, EnglandUniv Warwick, DIMAP, Coventry CV4 7AL, W Midlands, England
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Univ Warwick, DIMAP, Coventry CV4 7AL, W Midlands, England
Univ Warwick, Math Inst, Coventry CV4 7AL, W Midlands, EnglandUniv Warwick, DIMAP, Coventry CV4 7AL, W Midlands, England
Lozin, Vadim V.
Milanic, Martin
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Univ Primorska, UP IAM, SI-6000 Koper, Slovenia
Univ Primorska, UP FAMNIT, SI-6000 Koper, SloveniaUniv Warwick, DIMAP, Coventry CV4 7AL, W Midlands, England