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Locally star gluing formulas for a class of parallel graph grammars

  • Hartmut Ehrig
  • Axel Liedtke
List Of Contributions
Part of the Lecture Notes in Computer Science book series (LNCS, volume 73)

Abstract

The construction of locally catenative formulas for PDOL-systems is generalized to graphs. Concatenation in the string case becomes star gluing (a special colimit construction known from category theory) of graphs which is the basic concept in the algebraic approach to parallel graph grammars. We consider the special class of simple handle-substitution-parallel-graph-grammars (simple HPG-grammars). The main results are the construction of a locally star gluing formula for simple HPG-grammars resp. dependent simple HPG-grammars. That means there is a cut p such that for all n⩾p the graphs Gn in the graph sequence of the grammar can be constructed as a star gluing of graphs \(G_{n - t_i } \) with 1⩽ti⩽p for i=1, ..., k.

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References

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Copyright information

© Springer-Verlag Berlin Heidelberg 1979

Authors and Affiliations

  • Hartmut Ehrig
    • 1
  • Axel Liedtke
    • 1
  1. 1.FB InformatikTU BerlinBerlin 10Germany

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