"Extremal octagonal chains" by Xianya Geng, Shuchao Li et al.

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Article Title

Extremal octagonal chains with respect to the spectral radius

Authors

Xianya Geng, Anhui University of Science and TechnologyFollow
Shuchao Li, Central China Normal UniveristyFollow
Wei Wei, Central China Normal UniverisityFollow

Keywords

Octagonal chains; Spectral radius; Extremal graphs

Abstract

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.

Recommended Citation

Geng, Xianya; Li, Shuchao; and Wei, Wei. (2018), "Extremal octagonal chains with respect to the spectral radius", Electronic Journal of Linear Algebra, Volume 34, pp. 356-372.
DOI: https://doi.org/10.13001/1081-3810.3542

abs_vol34_pp356-372.pdf (99 kB)

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Electronic Journal of Linear Algebra