University of KashanIranian Journal of Mathematical Chemistry2228-64899120180301More Inequalities for Laplacian Indices by Way of Majorization17245488010.22052/ijmc.2017.100951.1317ENJ.PalaciosThe University of New Mexico, Albuquerque, NM 87131, USAJournal Article20171014The n-tuple of Laplacian characteristic values of a graph is majorized by the conjugate sequence of its degrees. Using that result we find a collection of general inequalities for a number of Laplacian indices expressed in terms of the conjugate degrees, and then with a maximality argument, we find tight general bounds expressed in terms of the size of the vertex set n and the average degree dG = 2|E|/n. We also find some particular tight bounds for some classes of graphs in terms of customary graph parameters.https://ijmc.kashanu.ac.ir/article_54880_d880ee06482840ddf89dd87e9a57f1b2.pdf