- Tytuł:
- A note on ideal based zero-divisor graph of a commutative ring
- Autorzy:
-
Mallika, A.
Kala, R.
Selvakumar, K. - Powiązania:
- https://bibliotekanauki.pl/articles/38146701.pdf
- Data publikacji:
- 2017-12-20
- Wydawca:
- Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
- Tematy:
-
zero-divisor graph
chromatic number
ideal based zero divisor graph
clique number - Opis:
- In this paper, we consider the ideal based zero divisor graph $Γ_I(R)$ of a commutative ring $R$. We discuss some graph theoretical properties of $Γ_I(R)$ in relation with zero divisor graph. We also relate certain parameters like vertex chromatic number, maximum degree and minimum degree for the graph $Γ_I(R)$ with that of $Γ(R/I)$. Further we determine a necessary and sufficient condition for the graph to be Eulerian and regular.
- Źródło:
-
Discussiones Mathematicae - General Algebra and Applications; 2017, 37, 2; 177-187
1509-9415 - Pojawia się w:
- Discussiones Mathematicae - General Algebra and Applications
- Dostawca treści:
- Biblioteka Nauki
Artykuł