A generalization of the unit and unitary Cayley graphs of a commutative ring

K Khashyarmanesh, MR Khorsandi - Acta Mathematica Hungarica, 2012 - akjournals.com
Let R be a commutative ring with non-zero identity and G be a multiplicative subgroup of U
(R), where U (R) is the multiplicative group of unit elements of R. Also, suppose that S is a …

On the associated graphs to a commutative ring

Z Barati, K Khashyarmanesh… - Journal of Algebra and …, 2012 - World Scientific
Let R be a commutative ring with nonzero identity. For an arbitrary multiplicatively closed
subset S of R, we associate a simple graph denoted by ΓS (R) with all elements of R as …

[PDF][PDF] Intersection graph of gamma sets in the total graph

T Chelvam, T Asir - Discussiones Mathematicae Graph Theory, 2012 - bibliotekanauki.pl
In this paper, we consider the intersection graph I_Γ(ℤₙ) of gamma sets in the total graph on
ℤₙ. We characterize the values of n for which I_Γ(ℤₙ) is complete, bipartite, cycle, chordal …

[引用][C] IMPACT FACTOR 2019: 0.755

TT Chelvam, T Asir - Discussiones Mathematicae Graph Theory, 2012