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All orientable 2-manifolds have finitely many minimal triangulations

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Abstract

We show that for every orientable 2-manifold there is a finite set of triangulations from which all other triangulations can be generated by sequences of vertex splittings.

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References

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Authors and Affiliations

  1. Department of Mathematics, University of California at Davis, 95616, Davis, CA, USA

    D. W. Barnette & Allan Edelson

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  1. D. W. Barnette
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  2. Allan Edelson
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Barnette, D.W., Edelson, A. All orientable 2-manifolds have finitely many minimal triangulations. Israel J. Math. 62, 90–98 (1988). https://doi.org/10.1007/BF02767355

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  • DOI: https://doi.org/10.1007/BF02767355

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