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A category-theoretical approach to vertex replacement: The generation of infinite graphs

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Graph Grammars and Their Application to Computer Science (Graph Grammars 1994)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 1073))

Abstract

To define NLC grammars for vertex replacement, we provide a categorical framework based on pullbacks in the category of graphs, whose major feature is probably that the connection relation is embedded within the rewriting rule and not distinct of it. We then indicate how it can be used to describe the generation of infinite graphs by recursive equations.

This work has been supported by the Esprit BRA “Computing with graph transformations”

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Janice Cuny Hartmut Ehrig Gregor Engels Grzegorz Rozenberg

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© 1996 Springer-Verlag Berlin Heidelberg

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Bauderon, M. (1996). A category-theoretical approach to vertex replacement: The generation of infinite graphs. In: Cuny, J., Ehrig, H., Engels, G., Rozenberg, G. (eds) Graph Grammars and Their Application to Computer Science. Graph Grammars 1994. Lecture Notes in Computer Science, vol 1073. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-61228-9_77

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  • DOI: https://doi.org/10.1007/3-540-61228-9_77

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-61228-5

  • Online ISBN: 978-3-540-68388-9

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