New method and new results on the order of spectral radius

Authors:
Muhuo Liu;Bolian Liu
Affiliations:
School of Mathematical Science, Nanjing Normal University, Nanjing, 210046, PR China and School of Mathematic Science, South China Normal University, Guangzhou, 510631, PR China and Department of ...;School of Mathematic Science, South China Normal University, Guangzhou, 510631, PR China
Venue:
Computers & Mathematics with Applications
Year:
2012

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Abstract

This paper presents a simple method to order trees, unicyclic graphs and bicyclic graphs according to their spectral radii, which is based on the application of the ''majorization theorem'' of tree, unicyclic and bicyclic graphs, respectively. Moreover, we obtain some new results on the order of spectral radii of unicyclic and bicyclic graphs by employing this new method.