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Unique embeddings of simple projective plane polyhedral maps

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Abstract

We characterize the 3-valent polyhedral maps in the projective plane whose graphs have a unique embedding in the projective plane. This is done by demonstrating two forbidden subgraphs of the dual of these uniquely embeddable graphs.

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References

  1. D. Barnette,Generating the triangulations of the projective plane, J. Comb. Theory33 (1982), 222–230.

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  2. W. T. Tutte,How to draw a graph, Proc. London Math. Soc.13 (1963), 743–768.

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Authors and Affiliations

  1. Department of Mathematics, University of California at Davis, Davis, California, USA

    D. W. Barnette

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  1. D. W. Barnette
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Barnette, D.W. Unique embeddings of simple projective plane polyhedral maps. Israel J. Math. 67, 251–256 (1989). https://doi.org/10.1007/BF02937299

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  • DOI: https://doi.org/10.1007/BF02937299

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