Hypergraph Representations of Diagrams in Diagram Editors

Mark Minas

When working with diagrams in visual environments like graphical diagram editors, diagrams have to be represented by an internal model. Graphs and hypergraphs are well-known concepts for such internal models . This paper shows how hypergraphs can be uniformly used for a wide range of different diagram types where hyperedges are used to represent diagram components as well as spatial relations between components. Using such an internal model requires a method for translating diagrams into their hypergraph model. Such a graphical scanning method is proposed in this paper. The scanner makes use of a specification of the diagram language. Since the scanner also considers how diagram components are embedded into their context, it is applicable to a wide range of diagram languages and their hypergraph models.

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