Journal of Guangdong University of Technology ›› 2009, Vol. 26 ›› Issue (1): 11-.

• Comprehensive Studies • Previous Articles     Next Articles

On Graphs Whose Lower Bound for the Energy Depends on the Degree of Vertices

  

  1. Faculty of Applied Mathematics,Guangdong University of Technology,Guangzhou 510006,China
  • Online:2009-01-01 Published:2009-01-01

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Abstract: Let G be a graph on n vertices,A(G) be the adjacency matrix of G,and λ1,λ2,…,λn be the eigenvalues of A(G).The energy of G is defined as E(G)=sum from i=1 to n|λi|.The results show that the energy of quadrangle-free graphs,whose maximal degree is not bigger than 3,is not smaller than n-1.Furthermore,such graphs whose energy exceeds the number of its vertices are studied,and one kind of graphs that are hyperenergetic is obtained. 更多还原

Key words: graph energy； maximal degree； the length of circle； quadrangle-free graph； hyperenergetic graphs；

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