Results 121 to 130 of about 969 (214)

Metric dimension of a zero-divisor graph

open access: yes
V diplomski nalogi preučujemo metrično dimenzijo grafa deliteljev niča kolobarja. Za kolobar $R$ definiramo njegov graf deliteljev niča $Gamma(R)$ kot enostaven neusmerjen graf, katerega vozlišča so delitelji niča, med dvema različnima vozliščema pa je ...
Možina, Tadeja
core  

Properties of ideal-based zero-divisor graphs of commutative rings

open access: yes, 2014
Let R be a commutative ring with nonzero identity and I an ideal of R. The focus of this research is on a generalization of the zero-divisor graph called the ideal-based zero-divisor graph for commutative rings with nonzero identity.
Jesse Gerald Smith, Jr.   +1 more
core  

On the connectedness of the complement of the zero-divisor graph of a poset

open access: yes, 2019
In this paper, connectedness is completely characterized for the complements of the zero-divisor graphs of partially ordered sets. These results are applied to annihilating ideal graphs and intersection graphs of submodules, generalizing some of the work
Joshi, Vinayak   +2 more
core  

The Wiener index and the Wiener complexity of the zero-divisor graph of a ring

open access: yes
We calculate the Wiener index of the zero-divisor graph of a finite semisimple ring. We also calculate the Wiener complexity of the zero-divisor graph of a finite simple ring and find an upper bound for the Wiener complexity in the semisimple ...
Dolžan, David
core   +1 more source

The zero-divisor graph of an amalgamated algebra

open access: yes
Let $R$ and $S$ be commutative rings with identity, $f:R\to S$ a ring homomorphism and $J$ an ideal of $S$. Then the subring $R\bowtie^fJ:=\{(r,f(r)+j)\mid r\in R$ and $j\in J\}$ of $R\times S$ is called the amalgamation of $R$ with $S$ along $J$ with ...
Doustimehr, M. R., Azimi, Y.
core  

Attacking cryptosystems by means of virus machines. [PDF]

open access: yesSci Rep, 2023
Pérez-Jiménez MJ   +2 more
europepmc   +1 more source

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