ENUMERATION OF THREE KINDS OF ROOTED MAPS ON THE KLEIN BOTTLE

  • Liu, Wenzhong (Department of Mathematics, Beijing JiaoTong University) ;
  • Liu, Yanpei (Department of Mathematics, Beijing JiaoTong University)
  • 발행 : 2007.05.31

초록

In this paper, $\tilde{2}$-essential rooted maps on the Klein bottle are counted and an explicit expression with the size as a parameter is given. Further, the numbers of singular maps and the maps with one vertex on the Klein bottle are derived.

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