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1. On the spectral radius of unicyclic graphs with prescribed degree sequence

Author

Belardo, Francesco, Li Marzi, Enzo M., Simić, Slobodan K., and Wang, Jianfeng

Subjects
*GRAPH theory, *SPECTRAL theory, *MATHEMATICAL sequences, *RADIUS (Geometry), *MATRICES (Mathematics), *EIGENVALUES, *MATHEMATICAL analysis
Abstract

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. [Copyright &y& Elsevier]

Published
2010
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