Article ID Journal Published Year Pages File Type
4625459 Applied Mathematics and Computation 2017 8 Pages PDF
Abstract
Let G be a graph of order n. For i=1,2,…,n, let di be the degree of the vertex vi of G. The extended adjacency matrix Aex of G is defined so that its (i, j)-entry is equal to 12(didj+djdi) if the vertices vi and vj are adjacent, and 0 otherwise,Yang et al. (1994). The spectral radius η1 and the energy Eex of the Aex-matrix are examined. Lower and upper bounds on η1 and Eex are obtained, and the respective extremal graphs characterized.
Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
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