Octagonal chains; Spectral radius; Extremal graphs
Octagonal systems are tree-like graphs comprised of octagons that represent a class of polycyclic conjugated hydrocarbons. In this paper, a roll-attaching operation for the calculation of the characteristic polynomials of octagonal chain graphs is proposed. Based on these characteristic polynomials, the extremal octagonal chains with n octagons having the maximum and minimum spectral radii are identified.
Geng, Xianya; Li, Shuchao; and Wei, Wei.
"Extremal octagonal chains with respect to the spectral radius",
Electronic Journal of Linear Algebra,
Volume 34, pp. 356-372.