The combinatorial structure of graphene

J. E. Graver, E. J. Hartung

Research output: Chapter in Book/Report/Conference proceedingChapter


We think of graphene patches as regions of the hexagonal tessellation of the plane. In Section 3.1, we introduce basic parameters of graphene patches and describe the relationships between them. In Section 3.2, we discuss results about Kekule structures (double bond structures) for graphene patches. In Section 3.3, we generalize the results about Kekule structures for general patches, including disordered graphene patches (graphene with some non-hexagonal faces) as well as more general structures. Section 3.4 describes the topological structure of disordered graphene patches.

Original languageEnglish (US)
Title of host publicationHandbook of Graphene
PublisherWiley Blackwell
Number of pages22
ISBN (Print)9781119468455
StatePublished - Mar 29 2019


  • Benzenoid
  • Clar number
  • Fries number
  • Graphene patch
  • Kekulé structure

ASJC Scopus subject areas

  • Engineering(all)
  • Materials Science(all)
  • Biochemistry, Genetics and Molecular Biology(all)


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