The signless Laplacian spectral radius of bicyclic graphs with a given girth
The electronic journal of linear algebra, Tome 22 (2011), pp. 378-388.

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Summary: Let $B(n, g)$ be the class of bicyclic graphs on n vertices with girth g. In this paper, the graphs in $B(n, g)$ with the largest signless Laplacian spectral radius are characterized.
Classification : 05C69, 05C05
Keywords: bicyclic graph, signless Laplacian matrix, signless Laplacian spectral radius
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     author = {Zhu, Zhongxun},
     title = {The signless {Laplacian} spectral radius of bicyclic graphs with a given girth},
     journal = {The electronic journal of linear algebra},
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     volume = {22},
     year = {2011},
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Zhu, Zhongxun. The signless Laplacian spectral radius of bicyclic graphs with a given girth. The electronic journal of linear algebra, Tome 22 (2011), pp. 378-388. http://geodesic.mathdoc.fr/item/ELA_2011__22__a55/