Bounds on the Largest of Minimum Degree Eigenvalues of Graphs

نویسندگان

  • Chandrashekar Adiga
  • Shivakumar Swamy
چکیده

Let G be a simple graph and let its vertex set be V (G) = {v1, v2, ..., vn}. The adjacency matrix A(G) of the graph G is a square matrix of order n whose (i, j)-entry is equal to unity if the vertices vi and vj are adjacent, and is equal to zero otherwise. The eigenvalues λ1, λ2, ..., λn of A(G), assumed in non increasing order, are the eigenvalues of the graph G. The energy of G was first defined by I.Gutman[7] in 1978 as the sum of the absolute values of its eigenvalues:

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تاریخ انتشار 2010