شماره ركورد كنفرانس :
4062
عنوان مقاله :
REGULAR GRAPHS ASSOCIATED WITH RINGS
پديدآورندگان :
JAFARI TALOUKOLAEI ALI ali jafari@math.iut.ac.ir Islamic Azad University, Central Tehran Branch , SAHEBI SHERVIN sahebi@iauctb.ac.ir Islamic Azad University, Central Tehran Branch
كليدواژه :
Connectedness , Diameter , Girth , Vonneumann regular graph , Vonneumann regular ring.
عنوان كنفرانس :
نهمين كنفرانس ملي نظريه گراف و تركيبيات جبري
چكيده فارسي :
Let R be a ring with nonzero identity. By the Vonneumann regular graph
of R, we mean the graph with vertices R such that there is an edge between vertices x, y
if and only if x − y is a vonneumann regular element of R, denoted by G vnr− (R). In
this article, the basic properties of G vnr− (R) are investigated and some characterization
results regarding connectedness, diameter, girth and planarity of G vnr− (R) are given.
