{
"title": "On Detour Spectra of Some Graphs",
"authors": "S.K.Ayyaswamy, S.Balachandran",
"country": null,
"institution": null,
"volume": "43",
"journal": "International Journal of Mathematical and Computational Sciences",
"pagesStart": 1038,
"pagesEnd": 1041,
"ISSN": "1307-6892",
"URL": "http:\/\/waset.org\/publications\/5275",
"abstract": "The Detour matrix (DD) of a graph has for its ( i , j)\r\nentry the length of the longest path between vertices i and j. The\r\nDD-eigenvalues of a connected graph G are the eigenvalues for its\r\ndetour matrix, and they form the DD-spectrum of G. The DD-energy\r\nEDD of the graph G is the sum of the absolute values of its DDeigenvalues.\r\nTwo connected graphs are said to be DD- equienergetic\r\nif they have equal DD-energies. In this paper, the DD- spectra of a\r\nvariety of graphs and their DD-energies are calculated.",
"references": null,
"publisher": "World Academy of Science, Engineering and Technology",
"index": "International Science Index 43, 2010"
}