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.
TY - JOUR
AU - Pucanović, Zoran
AU - Petrović, Zoran Z.
PY - 2014
UR - http://grafar.grf.bg.ac.rs/handle/123456789/641
AB - 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.
PB - Springer-Verlag Tokyo
T2 - Graphs and Combinatorics
T1 - Toroidality of Intersection Graphs of Ideals of Commutative Rings
EP - 716
IS - 3
SP - 707
VL - 30
DO - 10.1007/s00373-013-1292-1
ER -
@article{
author = "Pucanović, Zoran and Petrović, Zoran Z.",
year = "2014",
url = "http://grafar.grf.bg.ac.rs/handle/123456789/641",
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.",
publisher = "Springer-Verlag Tokyo",
journal = "Graphs and Combinatorics",
title = "Toroidality of Intersection Graphs of Ideals of Commutative Rings",
pages = "716-707",
number = "3",
volume = "30",
doi = "10.1007/s00373-013-1292-1"
}
Pucanović Z, Petrović ZZ. Toroidality of Intersection Graphs of Ideals of Commutative Rings. Graphs and Combinatorics. 2014;30(3):707-716
Pucanović, Z.,& Petrović, Z. Z. (2014). Toroidality of Intersection Graphs of Ideals of Commutative Rings.
Graphs and CombinatoricsSpringer-Verlag Tokyo., 30(3), 707-716.
https://doi.org/10.1007/s00373-013-1292-1
Pucanović Zoran, Petrović Zoran Z., "Toroidality of Intersection Graphs of Ideals of Commutative Rings" 30, no. 3 (2014):707-716,
https://doi.org/10.1007/s00373-013-1292-1 .
