Open Science Research Excellence
%0 Journal Article
%A S.K.Ayyaswamy and  S.Balachandran
%D 2010 
%J  International Journal of Mathematical and Computational Sciences
%B World Academy of Science, Engineering and Technology
%I International Science Index 43, 2010
%T On Detour Spectra of Some Graphs
%U http://waset.org/publications/5275
%V 43
%X The Detour matrix (DD) of a graph has for its ( i , j)
entry the length of the longest path between vertices i and j. The
DD-eigenvalues of a connected graph G are the eigenvalues for its
detour matrix, and they form the DD-spectrum of G. The DD-energy
EDD of the graph G is the sum of the absolute values of its DDeigenvalues.
Two connected graphs are said to be DD- equienergetic
if they have equal DD-energies. In this paper, the DD- spectra of a
variety of graphs and their DD-energies are calculated.
%P 1038 - 1040