%0 Journal Article %A S.K.Ayyaswamy and S.Balachandran and K.Kannan %D 2009 %J International Journal of Mathematical and Computational Sciences %B World Academy of Science, Engineering and Technology %I Open Science Index 35, 2009 %T Bounds on the Second Stage Spectral Radius of Graphs %U https://publications.waset.org/pdf/8804 %V 35 %X 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. %P 975 - 978