Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
권호 표지

BISINGULAR MAPS ON THE TORUS

  • Li, Zhaoxiang (Department of Mathematics, Central University for Nationalities) ;
  • Liu, Yanpei (Institute of mathematics, Beijing Jiaotong University)
  • Published : 2007.01.31

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Abstract

A map is bisingular if each edge is either a loop or an isthmus (i.e., on the boundary of the same face). In this paper we study the number of rooted bisingular maps on the sphere and the torus, and we also present formula for such maps with four parameters: the root-valency, the number of isthmus, the number of planar loops and the number of essential loops.

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