By John Etchemendy (auth.), Gem Stapleton, John Howse, John Lee (eds.)
This publication constitutes the refereed complaints of the fifth foreign convention on thought and alertness of Diagrams, Diagrams 2008, held in Herrsching, Germany, in September 2008.
The 25 revised papers and 28 poster papers offered including three keynote papers and a pair of educational papers have been rigorously reviewed and chosen from 70 submissions. The papers are equipped in topical sections on diagram aesthetics and structure, mental and cognitive matters, purposes of diagrams, theoretical elements, diagrams in schooling, in addition to realizing and comprehension.
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Extra resources for Diagrammatic Representation and Inference: 5th International Conference, Diagrams 2008, Herrsching, Germany, September 19-21, 2008. Proceedings
6a. Dual of the Euler graph for ∅ a b c d ab ad bc cd Fig. 6c. Additional edge between b and d Fig. 7a. Dual of the Euler graph for ∅ abc def ghi adg beh cfi Fig. 8a. Contour Routing Fig. 6b. Embedded diagram Fig. 6d. Diagram with reduced tangentiality but extra concurrency Fig. 7b. Embedded diagram Fig. 8b. Embedded diagram 21 22 P. Rodgers, L. Zhang, and A. Fish Fig. 8c. Plane dual for 4Venn Fig. 8d. Hole has labels “D” and “d” added Not all tangential intersections are removed by this method because some can only be removed at a cost of adding extra concurrency.
Drawing area-proportional Venn and Euler diagrams. In: Liotta, G. ) GD 2003. LNCS, vol. 2912, pp. 466–477. Springer, Heidelberg (2004) 3. : VennFS: A Venn diagram file manager. In: Proc. IV 2003, pp. 120–126. IEEE Computer Society, Los Alamitos (2003) 4. : A Heuristic for Graph Drawing. Congressus Numerantium 22, 149–160 (1984) 5. : Lettres à une Princesse d’Allemagne, vol 2, Letters No. 102–108 (1761) 6. : Euler Diagram Generation. Journal of Visual Languages and Computing (2008) 7. : Generating Euler Diagrams.
Fig 4b shows the dual graph with concurrent edges added as a result of Step 3. We note that adding any two edges to the superdual does not make the graph wellconnected. For example, if we only added one edge between nodes labelled “∅” and “ac”, and another edge between nodes labelled “∅” and “bc” then for the contour labelled “c” condition c of the connectivity conditions does not hold since the nodes “ac” and “bc” would not be not adjacent. Similarly, leaving either of the pair of nodes labelled “∅” and “ac” or the pair of nodes labelled “∅” and “bc” not adjacent breaks condition b of the connectivity conditions.