New method and new results on the order of spectral radius
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. (C) 2011 Elsevier Ltd. All rights reserved.
spectral radius unicyclic graph bicyclic graph majorization theorem