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Fundamentals of Algebraic Graph Transformation (Hardcover, 2006 ed.)
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Fundamentals of Algebraic Graph Transformation (Hardcover, 2006 ed.)
Series: Monographs in Theoretical Computer Science. An EATCS Series
Expected to ship within 12 - 17 working days
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Graphs are widely used to represent structural information in the
form of objects and connections between them. Graph transformation
is the rule-based manipulation of graphs, an increasingly important
concept in computer science and related fields. This is the first
textbook treatment of the algebraic approach to graph
transformation, based on algebraic structures and category theory.
Part I is an introduction to the classical case of graph and typed
graph transformation. In Part II basic and advanced results are
first shown for an abstract form of replacement systems, so-called
adhesive high-level replacement systems based on category theory,
and are then instantiated to several forms of graph and Petri net
transformation systems. Part III develops typed attributed graph
transformation, a technique of key relevance in the modeling of
visual languages and in model transformation. Part IV contains a
practical case study on model transformation and a presentation of
the AGG (attributed graph grammar) tool environment. Finally the
appendix covers the basics of category theory, signatures and
algebras. The book addresses both research scientists and graduate
students in computer science, mathematics and engineering.
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