Automorphism groups of the Pancake graphs

  • Authors:
  • Yun-Ping Deng;Xiao-Dong Zhang

  • Affiliations:
  • Department of Mathematics, Shanghai Jiao Tong University, 800 Dongchuan road, Shanghai 200240, PR China;Department of Mathematics, Shanghai Jiao Tong University, 800 Dongchuan road, Shanghai 200240, PR China

  • Venue:
  • Information Processing Letters
  • Year:
  • 2012

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Abstract

It is well known that the Pancake graph is widely used as models for interconnection networks. In this paper we prove that the automorphism group of the Pancake graph P"n, n=5, is the left regular representation of the symmetric group S"n.