Journal of East China Normal University(Natural Sc ›› 2012, Vol. 2012 ›› Issue (3): 6-12,40.

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Toroidal embeddings of K7

ZHAO Wen-zhou, SHI Li-hua, WU Hao, REN Han   

  1. Department of Mathematics, East China Normal University, Shanghai 200241, China
  • Received:2011-06-01 Revised:2011-09-01 Online:2012-05-25 Published:2012-05-22

Abstract: In this paper, we showed that there are exactly $2\times5!$ embeddings of $K_7$ in the torus. All of such embeddings are triangular permitting $Gr\ddot{u}nbaum$ coloring.

Key words: torus, embedding, Gr$\ddot{\rm u}$nbaum coloring

CLC Number: