Five-point zero-divisor graphs determined by equivalence classes
نویسندگان
چکیده
منابع مشابه
$C_4$-free zero-divisor graphs
In this paper we give a characterization for all commutative rings with $1$ whose zero-divisor graphs are $C_4$-free.
متن کاملOn zero-divisor graphs of quotient rings and complemented zero-divisor graphs
For an arbitrary ring $R$, the zero-divisor graph of $R$, denoted by $Gamma (R)$, is an undirected simple graph that its vertices are all nonzero zero-divisors of $R$ in which any two vertices $x$ and $y$ are adjacent if and only if either $xy=0$ or $yx=0$. It is well-known that for any commutative ring $R$, $Gamma (R) cong Gamma (T(R))$ where $T(R)$ is the (total) quotient ring of $R$. In this...
متن کاملON NEW CLASSES OF MULTICONE GRAPHS DETERMINED BY THEIR SPECTRUMS
A multicone graph is defined to be join of a clique and a regular graph. A graph $ G $ is cospectral with graph $ H $ if their adjacency matrices have the same eigenvalues. A graph $ G $ is said to be determined by its spectrum or DS for short, if for any graph $ H $ with $ Spec(G)=Spec(H)$, we conclude that $ G $ is isomorphic to $ H $. In this paper, we present new classes of multicone graphs...
متن کاملA generalization of zero-divisor graphs
In this paper, we introduce a family of graphs which is a generalization of zero-divisor graphs and compute an upper-bound for the diameter of such graphs. We also investigate their cycles and cores
متن کامل$c_4$-free zero-divisor graphs
in this paper we give a characterization for all commutative rings with $1$ whose zero-divisor graphs are $c_4$-free.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Involve, a Journal of Mathematics
سال: 2011
ISSN: 1944-4184,1944-4176
DOI: 10.2140/involve.2011.4.53