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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Newcastle Univ, Sch Comp, Newcastle Upon Tyne, EnglandNewcastle Univ, Sch Comp, Newcastle Upon Tyne, England
Dabrowski, Konrad K. K.
Masarik, Tomas
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Charles Univ Prague, Fac Math & Phys, Prague, Czech Republic
Univ Warsaw, Inst Informat, Warsaw, Poland
Simon Fraser Univ, Dept Math, Burnaby, BC, CanadaNewcastle Univ, Sch Comp, Newcastle Upon Tyne, England
Masarik, Tomas
Novotna, Jana
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Charles Univ Prague, Fac Math & Phys, Prague, Czech Republic
Univ Warsaw, Inst Informat, Warsaw, PolandNewcastle Univ, Sch Comp, Newcastle Upon Tyne, England
Novotna, Jana
Paulusma, Daniel
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Univ Durham, Dept Comp Sci, Durham, EnglandNewcastle Univ, Sch Comp, Newcastle Upon Tyne, England
Paulusma, Daniel
Rzazewski, Pawel
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Univ Warsaw, Inst Informat, Warsaw, Poland
Warsaw Univ Technol, Fac Math & Informat Sci, Warsaw, PolandNewcastle Univ, Sch Comp, Newcastle Upon Tyne, England