Toroidality of Intersection Graphs of Ideals of Commutative Rings
Abstract
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 of these graphs is also presented.
Keywords:
Intersection graph / Commutative ringsSource:
Graphs and Combinatorics, 2014, 30, 3, 707-716Publisher:
- Springer-Verlag Tokyo
Funding / projects:
- Analysis and algebra with applications (RS-174032)
DOI: 10.1007/s00373-013-1292-1
ISSN: 0911-0119