J4 ›› 2009, Vol. 44 ›› Issue (8): 25-30.

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Graham's conjecture on the product of the thorn graph

  

  1.  LIU Hai-Yang, MA Cheng-Gang： College of Science, Yantai Nanshan University, Yantai 265713, Shandong, China; WANG Zhi-Beng：Mathematics Department of Dalian Maritime University, Dalian 116026, Liaoning, China
  • Received:2008-09-18 Online:2009-08-16 Published:2009-11-08

Abstract:

It is proved that Graham’s conjecture holds for a thorn graph  of the  complete graph by a graph with the two-pebbling property. As a corollary, Graham's conjecture is true when G and H are a thorn graph of the complete graphs.

 

Key words: pebbling; thorn graph; complete graph; Graham’s conjecture

CLC Number: 

  • O157.5
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