Fundamentals of Algebraic Graph Transformation / Edition 1

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Overview

This is the first textbook treatment of the algebraic approach to graph transformation, based on algebraic structures and category theory. It contains an introduction to classical graphs. Basic and advanced results are first shown for an abstract form of replacement systems and are then instantiated to several forms of graph and Petri net transformation systems. The book develops typed attributed graph transformation and contains a practical case study.

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Editorial Reviews

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"A general theory of graph transformations … has been developed. … It is a very clear exposition of this material, spanning the breadth from underlying mathematics to an applications case study. … The authors have done a very good job of presenting an area in which many different threads of research have developed in to a general theory … . The book provides a helpful roadmap to the published research in the area, and a systematic treatment that emphasizes the fundamentals … ." (Charles J. Colbourn, Zentralblatt MATH, Vol. 1095 (21), 2006)

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Product Details

  • ISBN-13: 9783642068317
  • Publisher: Springer Berlin Heidelberg
  • Publication date: 11/19/2010
  • Series: Monographs in Theoretical Computer Science. An EATCS Series
  • Edition description: Softcover reprint of hardcover 1st ed. 2006
  • Edition number: 1
  • Pages: 388
  • Product dimensions: 0.83 (w) x 6.14 (h) x 9.21 (d)

Table of Contents

to Graph Transformation Systems.- General Introduction.- Graphs, Typed Graphs, and the Gluing Construction.- Graph Transformation Systems.- Adhesive High-Level Replacement Categories and Systems.- Adhesive High-Level Replacement Categories.- Adhesive High-Level Replacement Systems.- Embedding and Local Confluence.- Constraints and Application Conditions.- Typed Attributed Graph Transformation Systems.- Typed Attributed Graphs.- Typed Attributed Graph Transformation Systems.- Embedding and Local Confluence for Typed AGT Systems.- Adhesive HLR Categories for Typed Attributed Graphs.- Constraints, Application Conditions and Termination for Typed AGT Systems.- Typed Attributed Graph Transformation with Inheritance.- Case Study on Model Transformation, and Tool Support by AGG.- Case Study on Model Transformation.- Implementation of Typed Attributed Graph Transformation by AGG.

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