The asymptotic number of rooted 2-connected triangular maps on a surface

@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}
}
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
BETA

Topics from this paper.

References

Publications referenced by this paper.
SHOWING 1-5 OF 5 REFERENCES

CANFIELD, The asymptotic number of rooted maps on a surface

  • E.R.E.A. BENDER
  • J. Combin. Theory Ser. A
  • 1986
Highly Influential
6 Excerpts

The asymptotic number of rooted triangular maps on a surface

  • C GAOZ.
  • J. Combin. Theory Ser. B
  • 1991
Highly Influential
4 Excerpts

The Number of Triangulations of a Surface,

  • C GAOZ.
  • Ph.D. thesis, University of California at San…
  • 1989
1 Excerpt

WORMALD, The asymptotic number of rooted non-separable maps on a surface

  • N.C.E.A. BENDER
  • J. Combin. Theory Ser. A
  • 1988
1 Excerpt

On the enumeration of non-separable maps, Mem

  • W. G. BROWN
  • Amer. Math. Sot
  • 1966
1 Excerpt

Similar Papers

Loading similar papers…