Geodesic
Eigenvalue Bounds for the Signless Laplacian
Publications de l'Institut Mathématique, _N_S_81 (2007) no. 95, p. 11

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We extend our previous survey of properties of spectra of signless Laplacians of graphs. Some new bounds for eigenvalues are given, and the main result concerns the graphs whose largest eigenvalue is maximal among the graphs with fixed numbers of vertices and edges. The results are presented in the context of a number of computer-generated conjectures.
DOI : 10.2298/PIM0795011C
Classification : 05C50
Keywords: graph theory, graph spectra, line graph, signless Laplacian 
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     title = {Eigenvalue {Bounds} for the {Signless} {Laplacian}},
     journal = {Publications de l'Institut Math\'ematique},
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Dragoš Cvetković; Peter Rowlinson; Slobodan Simić. Eigenvalue Bounds for the Signless Laplacian. Publications de l'Institut Mathématique, _N_S_81 (2007) no. 95, p. 11 . doi: 10.2298/PIM0795011C

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