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Logical and graph-theoretic characterizations of the self-dual sentences of projective geometry

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Abstract

The self-dual sentences of projective geometry are characterized in terms of their logical structure. This syntactical analysis reveals an unexpected relationship with graph theory, the self-dual sentences being precisely the geometric interpretations (in a reasonably natural sense) of arbitrary sentences of graph theory.

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Reference

  1. Artzy, Rafael: Self-Dual Configurations and Their Levi Graphs. Proc. Amer. Math. Soc. 7 (1956) 299–303.

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  1. Department of Mathematics, University of Wisconsin, 53706, Madison, Wisconsin

    T. A. McKee

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  1. T. A. McKee
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McKee, T.A. Logical and graph-theoretic characterizations of the self-dual sentences of projective geometry. J Geom 6, 77–88 (1975). https://doi.org/10.1007/BF01919762

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  • DOI: https://doi.org/10.1007/BF01919762

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