Turkish Journal of Mathematics
Abstract
Let $R$ be a commutative ring with identity. We use $\Gamma ( R )$ to denote the comaximal ideal graph. The vertices of $\Gamma ( R )$ are proper ideals of R that are not contained in the Jacobson radical of $R$, and two vertices $I$ and $J$ are adjacent if and only if $I + J = R$. In this paper we show some properties of this graph together with the planarity and perfection of $\Gamma ( R )$.
DOI
10.3906/mat-1505-23
Keywords
Chromatic number, clique number, planar graph, perfect graph
First Page
905
Last Page
913
Recommended Citation
AZADI, MEHRDAD; JAFARI, ZEINAB; and ESLAHCHI, CHANGIZ
(2016)
"On the comaximal ideal graph of a commutative ring,"
Turkish Journal of Mathematics: Vol. 40:
No.
4, Article 19.
https://doi.org/10.3906/mat-1505-23
Available at:
https://journals.tubitak.gov.tr/math/vol40/iss4/19
