Skip to main content

Relabelling in Graph Transformation

  • Conference paper
  • First Online:
Graph Transformation (ICGT 2002)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 2505))

Included in the following conference series:

Abstract

The traditional double-pushout approach to graph transformation does not allow to change node labels in an arbitrary context. We propose a simple solution to this problem, namely to use rules with partially labelled interface graphs and to match rules injectively. In [8] we have shown that injective matching makes the double-pushout approach more expressive, and here we further generalise that approach. Besides solving the relabelling problem, our framework allows to write rules with partially labelled left-hand sides which are equivalent to (possibly infinite) sets of rules in the traditional setting. Unlike previous work on rules with partially labelled graphs, we do not need any labelling condition on matching morphisms, nor do we exclude node merging rules.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Michael R. Berthold, Ingrid Fischer, and Manuel Koch. Attributed graph transformation with partial attribution. In Proc. Joint APPLIGRAPH/GETGRATS Worshop on Graph Transformation Systems (GRATRA 2000), pages 171–178, 2000.

    Google Scholar 

  2. Andrea Corradini, Ugo Montanari, Francesca Rossi, Hartmut Ehrig, Reiko Heckel, and Michael Löwe. Algebraic approaches to graph transformation— Part I: Basic concepts and double pushout approach. In G. Rozenberg, editor, Handbook of Graph Grammars and Computing by Graph Transformation, volume 1, chapter 3, pages 163–245. World Scientific, 1997.

    Google Scholar 

  3. Hartmut Ehrig. Introduction to the algebraic theory of graph grammars. In Proc. Graph-Grammars and Their Application to Computer Science and Biology, volume 73 of Lecture Notes in Computer Science, pages 1–69. Springer-Verlag, 1979.

    Chapter  Google Scholar 

  4. Hartmut Ehrig, Gregor Engels, Hans-Jörg Kreowski, and Grzegorz Rozenberg, editors. Handbook of Graph Grammars and Computing by Graph Transformation, Volume 2: Applications, Languages, and Tools. World Scientific, 1999.

    Google Scholar 

  5. Hartmut Ehrig and Hans-Jörg Kreowski. Pushout-properties: An analysis of gluing constructions for graphs. Mathematische Nachrichten, 91:135–149, 1979.

    Article  MATH  MathSciNet  Google Scholar 

  6. Hartmut Ehrig, Hans-Jörg Kreowski, Andrea Maggiolo-Schettini, Barry K. Rosen, and Jozef Winkowski. Transformations of structures: an algebraic approach. Mathematical Systems Theory, 14:305–334, 1981.

    Article  MATH  MathSciNet  Google Scholar 

  7. Hartmut Ehrig, Hans-Jörg Kreowski, Ugo Montanari, and Grzegorz Rozenberg, editors. Handbook of Graph Grammars and Computing by Graph Transformation, Volume 3: Concurrency, Parallelism, and Distribution. World Scientific, 1999.

    Google Scholar 

  8. Annegret Habel, Jürgen Müller, and Detlef Plump. Double-pushout graph transformation revisited. Mathematical Structures in Computer Science, 11(5):637–688, 2001.

    Article  MATH  MathSciNet  Google Scholar 

  9. Francesco Parisi-Presicce, Hartmut Ehrig, and Ugo Montanari. Graph rewriting with unification and composition. In Proc. Graph-Grammars and Their Application to Computer Science, volume 291 of Lecture Notes in Computer Science, pages 496–514. Springer-Verlag, 1987.

    Google Scholar 

  10. Detlef Plump. Term graph rewriting. In H. Ehrig, G. Engels, H.-J. Kreowski, and G. Rozenberg, editors, Handbook of Graph Grammars and Computing by Graph Transformation, volume 2, chapter 1, pages 3–61. World Scientific, 1999.

    Google Scholar 

  11. Barry K. Rosen. Deriving graphs from graphs by applying a production. Acta Informatica, 4:337–357, 1975.

    Article  MATH  Google Scholar 

  12. Grzegorz Rozenberg, editor. Handbook of Graph Grammars and Computing by Graph Transformation, Volume 1: Foundations. World Scientific, 1997.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2002 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Habel, A., Plump, D. (2002). Relabelling in Graph Transformation. In: Corradini, A., Ehrig, H., Kreowski, H.J., Rozenberg, G. (eds) Graph Transformation. ICGT 2002. Lecture Notes in Computer Science, vol 2505. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45832-8_12

Download citation

  • DOI: https://doi.org/10.1007/3-540-45832-8_12

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-44310-0

  • Online ISBN: 978-3-540-45832-6

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics