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@article{Gao1992TheAN, title={The asymptotic number of rooted 2-connected triangular maps on a surface}, author={Zhicheng Gao}, journal={J. Comb. Theory, Ser. B}, year={1992}, volume={54}, pages={102-112} }

- Published in J. Comb. Theory, Ser. B 1992
DOI:10.1016/0095-8956(92)90068-9

A (rooted) triangular map on a surface is a (rooted) map on the surface [2] such that each face has valency three; a (rooted) near-triangular map on a surface is a (rooted) map on the surface such that all faces except possibly the root face and some other distinguished faces have valency three. As in [2], we use g= 1 -x/2 to denote the type of a surface with Euler Characteristic 1. Consider rooted loopless near-triangular maps which have some distinguished faces indexed by a finite set Z. Let… CONTINUE READING

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