A note on co-maximal graphs of commutative rings
Deepa Sinha, Anita Kumari Rao
AKCE International Journal of Graphs and Combinatorics · 2018
doi:10.1016/j.akcej.2018.03.003 (opens in a new tab)
We email you when a new notice or a question about this paper appears.
Abstract
Let R be a commutative ring with unity. The co-maximal graph Γ ( R ) is the graph with vertex set R and two vertices a and b are adjacent if R a + R b = R. In this paper, we characterize rings for which the co-maximal graph Γ ( R ) is a line graph of some graph G and determine rings for which Γ ( R ) is Eulerian or Hamiltonian. We also find the diameter and girth of Γ ( R ). Keywords: Finite commutative ring, Maximal ideal, Co-maximal graph, Line graph
Abstract licence: CC BY-NC
References11
11 more references, whose wording the paper’s licence keeps private.
Reads
Read by people on this page
None yet.
Checked or read by AI through naulon
None yet.
A person counts once a day per paper. We keep no cookie and no address: a reader is a hash that changes every day. Any month under five reads shows no number.
Are you an author?
Is this your paper?
Claim it to add your note and be paid when agents cite it. Free.