<?xml version="1.0" encoding="UTF-8"?> <article key="pdf/5275" mdate="2010-07-21 00:00:00"> <author>S.K.Ayyaswamy and S.Balachandran</author> <title>On Detour Spectra of Some Graphs</title> <pages>1038 - 1040</pages> <year>2010</year> <volume>4</volume> <number>7</number> <journal>International Journal of Mathematical and Computational Sciences</journal> <ee>https://publications.waset.org/pdf/5275</ee> <url>https://publications.waset.org/vol/43</url> <publisher>World Academy of Science, Engineering and Technology</publisher> <abstract>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 DDeigenvalues of a connected graph G are the eigenvalues for its detour matrix, and they form the DDspectrum of G. The DDenergy 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 DDenergies. In this paper, the DD spectra of a variety of graphs and their DDenergies are calculated.</abstract> <index>Open Science Index 43, 2010</index> </article>