The minimum spectral radius of graphs with a given clique number.
Stevanović, Dragan, Hansen, Pierre (2008)
ELA. The Electronic Journal of Linear Algebra [electronic only]
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Stevanović, Dragan, Hansen, Pierre (2008)
ELA. The Electronic Journal of Linear Algebra [electronic only]
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Yi-Zheng Fan, Song Wu (2008)
Discussiones Mathematicae Graph Theory
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The spectral radius of a graph is defined by that of its unoriented Laplacian matrix. In this paper, we determine the unicyclic graphs respectively with the third and the fourth largest spectral radius among all unicyclic graphs of given order.
Richard A. Brualdi, Ernie S. Solheid (1986)
Publications de l'Institut Mathématique
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Yuval Z. Flicker (1980)
Inventiones mathematicae
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Walter D. Neumann (1977)
Inventiones mathematicae
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R. W. Bruggeman (1985)
Banach Center Publications
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Mostafa Mbekhta, Jaroslav Zemánek (2007)
Banach Center Publications
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Goro Shimura (1990)
Inventiones mathematicae
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Irene Rousseau (2001)
Visual Mathematics
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Lin Cui, Yi-Zheng Fan (2010)
Discussiones Mathematicae Graph Theory
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In this paper, we determine the graph with maximal signless Laplacian spectral radius among all connected graphs with fixed order and given number of cut vertices.
Juan Alberto Rodríguez-Velazquez, Jose Maria Sigarreta Almira (2007)
Discussiones Mathematicae Graph Theory
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In this paper we obtain several tight bounds on different types of alliance numbers of a graph, namely (global) defensive alliance number, global offensive alliance number and global dual alliance number. In particular, we investigate the relationship between the alliance numbers of a graph and its algebraic connectivity, its spectral radius, and its Laplacian spectral radius.