Euler diagram generation

Jean Flower, Andrew Fish, John Howse

Research output: Contribution to journalArticlepeer-review


Euler diagrams form the basis of many diagrammatic notations used to represent set theoretic relationships in a wide range of contexts including: file system information, statistical data representation, object-oriented modeling, logical specification and reasoning systems, and database search queries. An abstract Euler diagram is a formal abstract description of the information that is to be displayed as a concrete (or drawn) Euler diagram. If the abstract diagram can be visualized, whilst satisfying certain desirable visual properties (called well-formedness conditions), then we say the diagram is drawable. We solve the drawability problem for a given set of well-formedness conditions, identifying the properties which classify a diagram as drawable or undrawable. Furthermore, we present a high level algorithm which enables the generation of a concrete diagram from an abstract diagram, whenever it is drawable.
Original languageEnglish
Pages (from-to)675-694
Number of pages20
JournalJournal of Visual Languages and Computing
Issue number6
Publication statusPublished - 1 Dec 2008


  • Euler diagrams
  • Automatic generation
  • Drawability
  • Logic visualization
  • Data representation


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