Toroidal fullerenes with the Cayley graph structures

Ming-Hsuan Kang*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

6 Scopus citations


We classify all possible structures of fullerene Cayley graphs. We give each one a geometric model and compute the spectra of its finite quotients. Moreover, we give a quick and simple estimation for a given toroidal fullerene. Finally, we provide a realization of those families in three-dimensional space.

Original languageEnglish
Pages (from-to)2384-2395
Number of pages12
JournalDiscrete Mathematics
Issue number21
StatePublished - 6 Nov 2011


  • Cayley graph
  • Fullerene
  • HOMOLUMO gap
  • Toroidal graph

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