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Map grammars: Cycles and the algebraic approach

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Graph-Grammars and Their Application to Computer Science and Biology (Graph Grammars 1978)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 73))

Abstract

Some real world phenomena are essentially two dimensional; they are more naturally modelled by map grammars than graph grammars. The planarity of maps can be captured by cycles and converted into a form suitable for abstract manipulation. This insight suggests (section 1) a new definition of map grammars, (section 2) some theorems, (section 3) and a generalization of the algebraic approach to graph grammars.

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Numbered References

  1. K. Culik & J. Opatrny: Context in Parallel Rewriting, Springer Lecture Notes 15(1974) 230–243.

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  3. S. Maciane: A combinatorial condition for planar graphs, Fund. Math. 28(1937) 22–32.

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  4. W.T. Tutte: Convex representation of graphs, Proc. London Math. Soc. 10(1960) 304–320.

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Volker Claus Hartmut Ehrig Grzegorz Rozenberg

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© 1979 Springer-Verlag Berlin Heidelberg

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Nyrup, K., Mayoh, B. (1979). Map grammars: Cycles and the algebraic approach. In: Claus, V., Ehrig, H., Rozenberg, G. (eds) Graph-Grammars and Their Application to Computer Science and Biology. Graph Grammars 1978. Lecture Notes in Computer Science, vol 73. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0025730

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  • DOI: https://doi.org/10.1007/BFb0025730

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-09525-5

  • Online ISBN: 978-3-540-35091-0

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