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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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