Toroidal Fullerenes with the Cayley Graph Structures
| dc.creator | Kang, Ming-Hsuan | |
| dc.date | 2009-02-10 | |
| dc.date.accessioned | 2026-07-07T12:39:55Z | |
| dc.date.available | 2026-07-07T12:39:55Z | |
| dc.description | A central issue in molecular orbital theory is to compute the HOMO-LUMO gap of a molecule, which measures the excitability of the molecule. Thus it would be of interest to learn how to construct a molecule with the prescribed HOMO-LUMO gap. In this paper, we classify all possible structures of fullerene Cayley graphs and compute their spectrum. For any natural number $n$ not divisible by three, we show there exists an infinite family of fullerene graphs with the same HOMO-LUMO gap of size $\frac{2π}{\sqrt{3}n}+O(n^{-2})$. Finally, we discuss how to realize those families in three dimensional space. | |
| dc.identifier | https://arxiv.org/abs/0902.1706 | |
| dc.identifier | http://arxiv.org/abs/0902.1706 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/219287 | |
| dc.subject | Group Theory | |
| dc.subject | Spectral Theory | |
| dc.title | Toroidal Fullerenes with the Cayley Graph Structures | |
| dc.type | text |