On the Genus of the Intersection Graph of Ideals of a Commutative Ring
Чланак у часопису (Објављена верзија)
Метаподаци
Приказ свих података о документуАпстракт
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.
Кључне речи:
Intersection graph / commutative rings / graph embeddingsИзвор:
Journal of Algebra and Its Applications, 2014, 13(5)Издавач:
- World Scientific Publishing Co. Pte. Ltd.
Финансирање / пројекти:
- Нови прилози техникама криптологије, процесирања слика и алгебарске топологије за информациону безбедност (RS-MESTD-Basic Research (BR or ON)-174008)
Институција/група
GraFarTY - JOUR AU - Pucanović, Zoran AU - Radovanović, Marko AU - Erić, Aleksandra Lj. PY - 2014 UR - https://grafar.grf.bg.ac.rs/handle/123456789/3177 AB - 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. PB - World Scientific Publishing Co. Pte. Ltd. T2 - Journal of Algebra and Its Applications T1 - On the Genus of the Intersection Graph of Ideals of a Commutative Ring VL - 13(5) DO - 10.1142/S0219498813501557 ER -
@article{ author = "Pucanović, Zoran and Radovanović, Marko and Erić, Aleksandra Lj.", year = "2014", 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.", publisher = "World Scientific Publishing Co. Pte. Ltd.", journal = "Journal of Algebra and Its Applications", title = "On the Genus of the Intersection Graph of Ideals of a Commutative Ring", volume = "13(5)", doi = "10.1142/S0219498813501557" }
Pucanović, Z., Radovanović, M.,& Erić, A. Lj.. (2014). On the Genus of the Intersection Graph of Ideals of a Commutative Ring. in Journal of Algebra and Its Applications World Scientific Publishing Co. Pte. Ltd.., 13(5). https://doi.org/10.1142/S0219498813501557
Pucanović Z, Radovanović M, Erić AL. On the Genus of the Intersection Graph of Ideals of a Commutative Ring. in Journal of Algebra and Its Applications. 2014;13(5). doi:10.1142/S0219498813501557 .
Pucanović, Zoran, Radovanović, Marko, Erić, Aleksandra Lj., "On the Genus of the Intersection Graph of Ideals of a Commutative Ring" in Journal of Algebra and Its Applications, 13(5) (2014), https://doi.org/10.1142/S0219498813501557 . .