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).