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Gem- and Co-Gem-Free Graphs Have Bounded Clique-Width (2003)  (Make Corrections)  (2 citations)
Andreas Brandstädt, Hoang-Oanh Le, Raffaele Mosca



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Abstract: The P 4 is the induced path of four vertices. The gem consists of a P 4 with an additional universal vertex being completely adjacent to the P 4 , and the co-gem is its complement graph. Gem- and co-gem-free graphs generalize the popular class of cographs (i. e. P 4 -free graphs). The tree structure and algebraic generation of cographs has been crucial for several concepts of graph decomposition such as modular and homogeneous decomposition. Moreover, it is fundamental for the recently... (Update)

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A. Brandst adt, H.-O. Le, R. Mosca, Gem- and co-gem-free graphs have bounded clique width, Manuscript 2002; accepted for Internat. J. of Foundations of Computer Science http://citeseer.ist.psu.edu/brandst03gem.html   More

@misc{ brandstadt-gem,
  author = "Andreas Brandst{\"a}dt and Hoang-Oanh Le and Raffaele Mosca",
  title = "Gem- and Co-Gem-Free Graphs Have Bounded Clique-Width",
  url = "citeseer.ist.psu.edu/brandst03gem.html" }
Citations (may not include all citations):
89   A linear recognition algorithm for cographs (context) - Corneil, Perl et al. - 1985
50   Complement reducible graphs (context) - Corneil, Lerchs et al. - 1981
48   Handle-rewriting hypergraph grammars (context) - Courcelle, Engelfriet et al. - 1993
47   A new linear algorithm for modular decomposition (context) - Cournier, Habib - 1994
41   Upper bounds to the clique-width of graphs - Courcelle, Olariu - 2000
36   Linear time solvable optimization problems on graphs of boun.. - Courcelle, Makowsky et al. - 2000
30   Modular decomposition and transitive orientation - McConnell, Spinrad - 1999
19   School of Computer Science (context) - ang, Graphs et al. - 1985
19   School of Computer Science (context) - ang, of et al. - 1983
15   Cographs: recognition (context) - Corneil, Perl et al. - 1984
15   Split graphs (context) - Foeldes, Hammer - 1977
14   Some classes of perfectly orderable graphs (context) - ang, Reed - 1989
11   SIAM Monographs on Discrete Math (context) - adt, Le and et al. - 1999
9   the clique-width of some perfect graph classes (context) - Golumbic, Rotics - 2000
9   NLC graphs and polynomial algorithms (context) - Wanke - 1994

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