The Diameter of Unit Graphs of Rings
نویسندگان
چکیده
منابع مشابه
ON THE REFINEMENT OF THE UNIT AND UNITARY CAYLEY GRAPHS OF RINGS
Let $R$ be a ring (not necessarily commutative) with nonzero identity. We define $Gamma(R)$ to be the graph with vertex set $R$ in which two distinct vertices $x$ and $y$ are adjacent if and only if there exist unit elements $u,v$ of $R$ such that $x+uyv$ is a unit of $R$. In this paper, basic properties of $Gamma(R)$ are studied. We investigate connectivity and the girth of $Gamma(R)$, where $...
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ژورنال
عنوان ژورنال: Taiwanese Journal of Mathematics
سال: 2019
ISSN: 1027-5487
DOI: 10.11650/tjm/180602