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On the genus of the intersection graph of ideals of a commutative ring
(Journal of Algebra and Its Applications, 2014)
To each commutative ring R one can associate the graph G(R), called the intersection graph of ideals, whose vertices are nontrivial ideals of R. In this paper, we try to establish some connections between commutative ring ...
Toroidality of Intersection Graphs of Ideals of Commutative Rings
(Springer-Verlag Tokyo, 2014)
Let R be a commutative ring with identity and G(R) its intersection graph. In this paper, all toroidal graphs that are intersection graphs are classified. An improvement over the previous results concerning the planarity ...