Published in
Elsevier, Linear Algebra and its Applications, 9(432), p. 2323-2334, 2010
DOI: 10.1016/j.laa.2009.06.008
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On the spectral radius of unicyclic graphs with prescribed degree sequence
Journal article published in 2010 by
Francesco Belardo 
,
Enzo M. Li Marzi,
Slobodan K. Simić,
Jianfeng Wang
,
Enzo M. Li Marzi,
Slobodan K. Simić,
Jianfeng Wang
This paper is made freely available by the publisher.
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Abstract
We consider the set of unicyclic graphs with prescribed degree sequence. In this set we determine the (unique) graph with the largest spectral radius (or index) with respect to the adjacency matrix. In addition, we give a conjecture about the (unique) graph with the largest index in the set of connected graphs with prescribed degree sequence.