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The crossing Number of Petersen graph P(4,1) with paths Pn

 YUAN  Zi-Han- Huang-Yuan-Qiu   

  • Received:2011-02-28 Revised:2011-05-16 Online:2011-09-20 Published:2011-09-29
  • Contact: YUAN zi-han E-mail:yuanzihan2000@163.com

Abstract: The crossing Number of Petersen graph $P(m,1)$ with paths $P_n$ is NP-complete problem, Y.H. Peng and Y.C.Yiew have determined the crossing Number of $P(3,1)$ with paths $P_n$ is $4n$, we have proved the crossing Number of $P(4,1)$ with paths $P_n$ is $8n$.

Key words:  crossing number, petersen graph P(4,1), paths, Cartesian product