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https://research.matf.bg.ac.rs/handle/123456789/209
Title: | On the genus of the intersection graph of ideals of a commutative ring | Authors: | Pucanović, Zoran S. Radovanović, Marko Erić, Aleksandra L.J. |
Affiliations: | Algebra and Mathematical Logic | Keywords: | Commutative rings;Graph embeddings;Intersection graph | Issue Date: | 1-Aug-2014 | Journal: | Journal of Algebra and its Applications | Abstract: | 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 theory and graph theory, by study of the genus of the intersection graph of ideals. We classify all graphs of genus 2 that are intersection graphs of ideals of some commutative rings and obtain some lower bounds for the genus of the intersection graph of ideals of a nonlocal commutative ring. © World Scientific Publishing Company. |
URI: | https://research.matf.bg.ac.rs/handle/123456789/209 | ISSN: | 02194988 | DOI: | 10.1142/S0219498813501557 |
Appears in Collections: | Research outputs |
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