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On the automorphism group of polyhedral graphs

Author

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  • Ghorbani, Modjtaba
  • Songhori, Mahin

Abstract

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.

Suggested Citation

  • Ghorbani, Modjtaba & Songhori, Mahin, 2016. "On the automorphism group of polyhedral graphs," Applied Mathematics and Computation, Elsevier, vol. 282(C), pages 237-243.
    • Handle: RePEc:eee:apmaco:v:282:y:2016:i:c:p:237-243
    DOI: 10.1016/j.amc.2016.01.066
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    Cited by:

    1. Ghorbani, Modjtaba & Songhori, Mahin, 2018. "Polyhedral graphs via their automorphism groups," Applied Mathematics and Computation, Elsevier, vol. 321(C), pages 1-10.

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