Simple, reducible Venn diagrams on five curves and Hamiltonian cycles (Q1379516)

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scientific article; zbMATH DE number 1121160
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Simple, reducible Venn diagrams on five curves and Hamiltonian cycles
scientific article; zbMATH DE number 1121160

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    Simple, reducible Venn diagrams on five curves and Hamiltonian cycles (English)
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    8 November 1998
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    Continuing joint papers of the authors and \textit{K. B. Chilakamarri} [J. Comb. Theory, Ser. B 67, No. 2, 296-303, Art. No. 0047 (1996; Zbl 0856.05028) and Geom. Dedicata 62, No. 1, 73-91 (1996; Zbl 0863.05030)], the paper investigates and classifies simple, reducible Venn diagrams on five sets. In particular a simple, reducible Venn diagram consisting of five congruent ellipses is given correcting erroneous statements traced back to Venn himself. By the way some questions recently raised by B. Grünbaum are answered.
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    Hamltonian cycles
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    planar graph
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    dual graph
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    Venn diagrams
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