On the Spectrum of the Generalised Petersen Graphs |
| |
Authors: | Adrian W Dudek |
| |
Institution: | 1.Mathematical Sciences Institute,Australian National University,Canberra,Australia |
| |
Abstract: | We show that the gap between the two greatest eigenvalues of the generalised Petersen graphs P(n, k) tends to zero as \(n \rightarrow \infty \). Moreover, we provide explicit upper bounds on the size of this gap. It follows that these graphs have poor expansion properties for large values of n. We also show that there is a positive proportion of the eigenvalues of P(n, k) tending to three. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|