Graph languages defined by systems of forbidden structures: A survey

  • Volker Blödel
  • Frank Wankmüller
Graph-Grammars And Graph-Languages
Part of the Lecture Notes in Computer Science book series (LNCS, volume 314)


This paper deals with different ways of defining graph languages. These are the so-called forbidden structures. Some results on decision problems, their complexity, and set theoretic closure properties are scetched. A normal form, the minimal systems, are given. Finally the influence of the different kinds of forbidden structures on the descriptive power of the systems is shown.


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6. References

  1. [Bl 87]
    Blödel, Volker "Charakterisierung von Graphsprachen durch Systeme von verbotenen Strukturen" Masterthesis Johannes Gutenberg-Universität Mainz, 1987Google Scholar
  2. [Du 84]
    Duchet, Pierre "Schemes of Graphs" Graph Theory and Combinatorics, Cambridge, 1984, pp. 145–153Google Scholar
  3. [FaKeZu 76]
    Farrow, R.; Kennedy, K.; Zucconi, L.; "Graph Grammars and Global Program Data Flow Analysis" Proc. of the 17th Annual IEEE Symposium on Foundations of Computer Science, Houston, Texas, 1976, pp 42–56Google Scholar
  4. [Fe 82]
    Fellner, W. D. "On Minimal Graphs" Theor. Comp. Sci., Vol. 17, 1982, No. 1, pp. 103–110CrossRefGoogle Scholar
  5. [Ha 72]
    Harary, Frank "Graph Theory" Addison-Wesley, 1972 (3rd printing)Google Scholar
  6. [HeUl 72]
    Hecht, M. S.; Ullman J. D.; "Flow Graph Reducibility" SIAM Journal on Computing, Vol. 1, No. 2, 1972, pp. 188–202CrossRefGoogle Scholar
  7. [Wa 82]
    Wankmüller, Frank "Characterization of Graph Classes by Forbidden Structures" Lecture Notes in Computer Science 153, 1983, pp. 405–414Google Scholar
  8. [WaWi 83]
    Wankmüller, Frank; Wiese, Udo "On Decision Problems for Forbidden Structures" Proc. WG '83, Osnabrück, Trauner Verlag, 1983, pp. 370–380Google Scholar
  9. [ScWa 84]
    Schwill, Andreas; Wankmüller, Frank "On Graph Languages Defined by Forbidden Structures and Reductions" Proc. WG '84, Berlin, Trauner Verlag, 1984, pp. 335–353Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1988

Authors and Affiliations

  • Volker Blödel
    • 1
  • Frank Wankmüller
    • 1
  1. 1.Fachbereich Mathematik/InformatikJohannes Gutenberg-Universität MainzMainz

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