On the automorphism group of polyhedral graphs

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摘要

A (4,6)-fullerene is a three connected cubic planar graph whose faces are squares and hexagons. In this paper, for a given (4,6)-fullerene graph F, we compute the order of automorphism group F. We also study some spectral properties of fullerene graphs via their automorphism group.

论文关键词:Fullerene,Group action,Stabilizer,Automorphism group

论文评审过程:Received 6 May 2015, Revised 17 October 2015, Accepted 25 January 2016, Available online 2 March 2016, Version of Record 2 March 2016.

论文官网地址:https://doi.org/10.1016/j.amc.2016.01.066