Exponential Families of Non-Isomorphic Triangulations of Complete Graphs

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Abstract

We prove that the number of non-isomorphic face 2-colourable triangulations of the complete graph Kn in an orientable surface is at least 2n2/54-O(n) for n congruent to 7 or 19 modulo 36, and is at least 22n2/81-O(n) for n congruent to 19 or 55 modulo 108. © 2000 Academic Press.

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Bonnington, C. P., Grannell, M. J., Griggs, T. S., & Širáň, J. (2000). Exponential Families of Non-Isomorphic Triangulations of Complete Graphs. Journal of Combinatorial Theory. Series B, 78(2), 169–184. https://doi.org/10.1006/jctb.1999.1939

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