On the Difference between Laplacian and Signless Laplacian Coefficients of a Graph and its Applications on the Fullerene Graphs

Message:
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.
Language:
English
Published:
Iranian Journal of Mathematical Chemistry, Volume:15 Issue: 1, Winter 2024
Pages:
39 to 50
https://www.magiran.com/p2697476