journal6 ›› 2011, Vol. 32 ›› Issue (6): 11-14.

• Mathematics • Previous Articles     Next Articles

Critical Group of the Edge Corona Tm◇Sn


  1. (1.Department of Humanities,Mathematics and Physics,Nanjing Institute of Industry Technology,Nanjing 210046,China;2.School of Transportation,Southeast University,Nanjing 210096,China)
  • Online:2011-11-25 Published:2012-03-22
  • About author:Program Sponsored by Scientific Innovation Research of College Graduate in Jiangsu Province (CXZZ_0163) and Scientific Research Foundation of Graduate School of Southeast University (YBJJ1140)

Abstract: The structures of the critical group on the edge corona Tm◇Sn of trees and stars are determined and it is shown that the Smith normal forms of critical group of the edge corona Tm◇Sn  are the direct sum of (n-2)m cyclic groups.At the same time the number of spanning trees in Tm◇Sn is given.

Key words: Laplacian matrix, critical group, Smith normal form, edge corona

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