On the Difference between Laplacian and Signless Laplacian Coefficients of a Graph and its Applications on the Fullerene Graphs
نویسندگان
1 Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran
2 Department of Pure Mathematics, Faculty of Mathematical Sciences, University of Kashan, Kashan 87317-51167, Iran
3 Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran
4 Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran
doi
10.22052/ijmc.2024.254123.1808چکیده
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.
