%0 Journal Article
%T More inequalities for Laplacian indices by way of majorization
%J Iranian Journal of Mathematical Chemistry
%I University of Kashan
%Z 2228-6489
%A Palacios, J.
%D 2018
%\ 03/01/2018
%V 9
%N 1
%P 17-24
%! More inequalities for Laplacian indices by way of majorization
%K Laplacian indices
%K conjugate sequence
%K majorization
%R 10.22052/ijmc.2017.100951.1317
%X The 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.
%U http://ijmc.kashanu.ac.ir/article_54880_d880ee06482840ddf89dd87e9a57f1b2.pdf