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ISSN 2083-5892 (electronic version)

Discussiones Mathematicae Graph Theory

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Discussiones Mathematicae Graph Theory


Discussiones Mathematicae Graph Theory 30(1) (2010) 85-93


Lin Cui  and Yi-Zheng Fan

School of Mathematical Sciences
Anhui University
Hefei 230039, P.R. China


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.

Keywords: graph, cut vertex, signless Laplacian matrix, spectral radius.

2010 Mathematics Subject Classification: 05C50, 15A18.


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Received 25 April 2008
Revised 2 January 2009
Accepted 12 March 2009