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.
spectral radius unicyclic graph bicyclic graph majorization theorem