Extremal octagonal chains with respect to the spectral radius

Xianya Geng, Shuchao Li, Wei Wei
2018 The Electronic Journal of Linear Algebra  
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.
doi:10.13001/1081-3810.3542 fatcat:rtwsj3iq5fdqhbo7hdjt574yki