%0 Journal Article
%T On the Difference between Laplacian and Signless Laplacian Coefficients of a Graph and its Applications on the Fullerene Graphs
%J Iranian Journal of Mathematical Chemistry
%I University of Kashan
%Z 2228-6489
%A Arabzadeh, Mahsa
%A Fath-Tabar, Gholam Hossein
%A Rasouli, Hamid
%A Tehranian, Abolfazl
%D 2024
%\ 03/01/2024
%V 15
%N 1
%P 39-50
%! On the Difference between Laplacian and Signless Laplacian Coefficients of a Graph and its Applications on the Fullerene Graphs
%K Fullerene graph
%K Signless Laplacian matrix
%K Laplacian coefficient
%R 10.22052/ijmc.2024.254123.1808
%X Let $ \sum_{i=0}^{n}(-1)^il_ix^{n-i}$ and $\sum_{i=0}^{n}(-1)^iq_ix^{n-i}$ be the characteristic polynomials of the Laplacian matrix and signless Laplacian matrix of an $n$-vertex graph, respectively. Let $\alpha_i = |q_i - l_i|$, $0\leq i \leq n$. In this paper, we find formulas for some of $\alpha_i$'s. In particular, we compute $\alpha_i$'s for some fullerene graphs.
%U https://ijmc.kashanu.ac.ir/article_114271_b4389a9d805be99a1657ecddbcfa8402.pdf