Geodesic
Line Graphs with Exactly two Positive Eigenvalues
Publications de l'Institut Mathématique, _N_S_72 (2002) no. 86, p. 39 .

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All connected line graphs whose third largest eigenvalue does not exceed $0$ are characterized. Besides, all minimal line graphs with third largest eigenvalue greater than $0$ are determined. Finally, all connected line graphs with exactly two positive eigenvalues are characterized.
DOI : 10.2298/PIM0272039B
Classification : 05C50 
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     author = {Bojana Borovi\'canin},
     title = {Line {Graphs} with {Exactly} two {Positive} {Eigenvalues}},
     journal = {Publications de l'Institut Math\'ematique},
     pages = {39 },
     publisher = {mathdoc},
     volume = {_N_S_72},
     number = {86},
     year = {2002},
     doi = {10.2298/PIM0272039B},
     zbl = {1052.05046},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/PIM0272039B/}
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Bojana Borovićanin. Line Graphs with Exactly two Positive Eigenvalues. Publications de l'Institut Mathématique, _N_S_72 (2002) no. 86, p. 39 . doi : 10.2298/PIM0272039B. http://geodesic.mathdoc.fr/articles/10.2298/PIM0272039B/

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