Coloring in essential annihilating-ideal graphs of commutative rings
R Nikandish, M Mehrara, MJ Nikmehr - Soft Computing, 2024 - Springer
The essential annihilating-ideal graph EG (R) of a commutative unital ring R is a simple
graph, whose vertices are non-zero ideals of R with non-zero annihilator and there exists an …
graph, whose vertices are non-zero ideals of R with non-zero annihilator and there exists an …
[PDF][PDF] On the genus of strong annihilating-ideal graph of commutative rings
M Nazim, N ur Rehman… - Asian-European Journal …, 2023 - researchgate.net
Let R be a commutative ring with unity and A (R) be the set of annihilating-ideals of R. The
strong annihilating-ideal graph of R, denoted by SAG (R), is an undirected graph with vertex …
strong annihilating-ideal graph of R, denoted by SAG (R), is an undirected graph with vertex …
Characterization of rings with genus two prime ideal sum graphs
P Mathil, J Kumar - arXiv preprint arXiv:2308.04048, 2023 - arxiv.org
Let $ R $ be a commutative ring with unity. The prime ideal sum graph of the ring $ R $ is a
simple undirected graph whose vertex set is the set of nonzero proper ideals of $ R $ and …
simple undirected graph whose vertex set is the set of nonzero proper ideals of $ R $ and …
[PDF][PDF] On the genus and crosscap of the total graph of commutative rings with respect to multiplication
Let S be a commutative ring and Z (S) be its zerodivisors set. The total graph of S with
respect to multiplication, denoted by TZ (S)(Γ (S)), is an undirected graph with vertex set as …
respect to multiplication, denoted by TZ (S)(Γ (S)), is an undirected graph with vertex set as …
[PDF][PDF] On the genus of annihilator intersection graph of commutative rings
Let R be a commutative ring with unity and A (R) be the set of annihilatingideals of R. The
annihilator intersection graph of R, represented by AIG (R), is an undirected graph with A …
annihilator intersection graph of R, represented by AIG (R), is an undirected graph with A …
Analysis of Some Topological Indices Over the Weakly Zero-Divisor Graph of the Ring
In this paper, we study some basic properties of weakly zero-divisor graph of the ring Z p× Z
q× Z r, denoted by W Γ (Z p× Z q× Z r), where p, q and r are prime numbers greater than 2 …
q× Z r, denoted by W Γ (Z p× Z q× Z r), where p, q and r are prime numbers greater than 2 …