journal6 ›› 2006, Vol. 27 ›› Issue (2): 3-5.

• Mathematics • Previous Articles     Next Articles

Second Smallest Eigenvalue of a Unicyclic Graph


  1. (1.Department of Mathematics,Shaoyang College,Shaoyang  422000,Hunan China;2.Hunan Building Materials College,Hengyang  421008,Hunan China;3.Department of Mathematics,Hunan Normal University,Changsha  410081,China)
  • Online:2006-03-25 Published:2012-09-16

Abstract: Let G be a simple connected unicyclic graph.λn-1(G) denotes the second smallest eigenvalue of the  unicyclic graph G.In this paper,the authors obtain a second smallest eigenvalue of graph G (isomorphic graph S3n),and a sharp upper bounds of λn-1(G).

Key words: unicyclic graph, second smallest eigenvalue, upper bounds

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