On the Difference between Laplacian and Signless Laplacian Coefficients of a Graph and its Applications on the Fullerene Graphs
Author(s):
Article Type:
Research/Original Article (دارای رتبه معتبر)
Abstract:
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.
Keywords:
Language:
English
Published:
Iranian Journal of Mathematical Chemistry, Volume:15 Issue: 1, Winter 2024
Pages:
39 to 50
https://www.magiran.com/p2697476