• 文献标题:   On the Clar number of graphene fragment
  • 文献类型:   Article
  • 作  者:   TIAN Y, ZHAO B
  • 作者关键词:   clar number, benzenoid graph, graphene fragment
  • 出版物名称:   JOURNAL OF MATHEMATICAL CHEMISTRY
  • ISSN:   0259-9791 EI 1572-8897
  • 通讯作者地址:  
  • 被引频次:   0
  • DOI:   10.1007/s10910-021-01214-w EA JAN 2021
  • 出版年:   2021

▎ 摘  要

A graphene fragment is a benzenoid graph that its dualist graph is a unicyclic graph. In particular, when the dualist graph of a benzenoid graph is a circle, it is called cyclofusene. In this paper, we determine the Clar number of a cyclofusene graph, and prove a bound for the Clar number of the graphene fragment. Moreover, we construct the graphene fragment which can attain this bound. More precisely, it is shown that the Clar number of the graphene fragment with n hexagons is at most [2n/3].