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This book details metagraph theory and its applications. It begins by defining a metagraph and its uses, which allow for the representation and analysis of more complex systems. The first part of the book develops the theoretical results with an emphasis on the development of a metagraph algebra. In the second part, four promising applications of metagraphs are examined.

Metagraphs and Their Applications

Graphs, Hypergraphs, and Metagraphs.- Graphs, Hypergraphs, and Metagraphs.- Metagraph Theory.- The Algebraic Structure of Metagraphs.- Connectivity Properties of Metagraphs.- Metagraph Transformations.- Attributed Metagraphs.- Independent Sub-Metagraphs.- Applications of Metagraphs.- Metagraphs in Model Management.- Metagraphs in Data and Rule Management.- Metagraphs in Workflow and Process Analysis.- Conclusion.