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  • 标题:A note on co-maximal graphs of commutative rings
  • 本地全文:下载
  • 作者:Deepa Sinha ; Anita Kumari Rao
  • 期刊名称:AKCE International Journal of Graphs and Combinatorics
  • 印刷版ISSN:0972-8600
  • 出版年度:2018
  • 卷号:15
  • 期号:1
  • 页码:112-114
  • DOI:10.1016/j.akcej.2018.03.003
  • 语种:English
  • 出版社:Elsevier
  • 摘要:AbstractLetRbe a commutative ring with unity. The co-maximal graphΓ(R)is the graph with vertex setRand two verticesaandbare adjacent ifRa+Rb=R. In this paper, we characterize rings for which the co-maximal graphΓ(R)is a line graph of some graphGand determine rings for whichΓ(R)is Eulerian or Hamiltonian. We also find the diameter and girth ofΓ(R).
  • 关键词:KeywordsFinite commutative ringMaximal idealCo-maximal graphLine graph
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