شماره ركورد كنفرانس :
3728
عنوان مقاله :
THE EMBEDDING OF LINE GRAPHS ASSOCIATED TO JACOBSON GRAPHS IN SPHERE AND PROJECTIVE PLANE
پديدآورندگان :
PARSAPOUR ATOSSA Department of Mathematics, Bandar Abbas Branch, Islamic Azad University, Bandar Abbas, Iran , AHMADJAVAHERI KHADIJEH Department of Mathematics, Bandar Abbas Branch, Islamic Azad University, Bandar Abbas, Iran
كليدواژه :
Jacobson graph , Line graph , Planar graph , Projective graph.
عنوان كنفرانس :
اولين همايش ملي پژوهش هاي كاربردي نوين در علوم پايه
چكيده فارسي :
Let R be a commutative ring with non-zero identity and J(R) be the Jacobson radical of R. The Jacobson graph of R, denoted by JR, is a graph with vertex set R n J(R),such that two distinct vertices a and b in R n J(R) are adjacent if and only if 1 - ab is not a unit of R. Also, the line graph of the Jacobson graph is denoted by L (JR). In this paper, we characterize all finite commutative rings R with non-zero identity (up to isomorphism) such that the graphs L (JR) are planar or projective.
