S.K.Ayyaswamy and S.Balachandran and K.Kannan
Bounds on the Second Stage Spectral Radius of Graphs
975 - 978
2009
3
11
International Journal of Mathematical and Computational Sciences
https://publications.waset.org/pdf/8804
https://publications.waset.org/vol/35
World Academy of Science, Engineering and Technology
Let G be a graph of order n. The second stage adjacency matrix of G is the symmetric n × n matrix for which the ijth entry is 1 if the vertices vi and vj are of distance two; otherwise 0. The sum of the absolute values of this second stage adjacency matrix is called the second stage energy of G. In this paper we investigate a few properties and determine some upper bounds for the largest eigenvalue.
Open Science Index 35, 2009