Measuring and Reducing Clutter in Euler Diagrams | Zendy

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Measuring and Reducing Clutter in Euler Diagrams

Author(s) -

Chris John

Publication year - 2005

Publication title -

electronic notes in theoretical computer science

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.242

H-Index - 60

ISSN - 1571-0661

DOI - 10.1016/j.entcs.2005.01.035

Subject(s) - clutter , notation , computer science , diagram , metric (unit) , flexibility (engineering) , variety (cybernetics) , euler's formula , algorithm , theoretical computer science , mathematics , artificial intelligence , arithmetic , mathematical analysis , statistics , telecommunications , radar , operations management , database , economics

When modelling with three or more sets Euler diagrams can become crowded or cluttered and their ability to intuitively represent relationships between sets diminishes. Projections are a notation that bring syntactic efficiency to Euler diagrams and the flexibility to represent relationships between sets in a variety of semantically equivalent ways. This paper briefly outlines the first sound and complete system of Euler diagrams to incorporate the notation of projections. It defines a metric for measuring clutter in a diagram and outlines an algorithm that, given a diagram of the system, finds a semantically equivalent diagram(s) with the minimal measure of clutter

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