@article {
author = {Hoseini, N. and Erfanian, A. and Azimi, A. and Farrokhi D. G., M.},
title = {On cycles in intersection graphs of rings},
journal = {Bulletin of the Iranian Mathematical Society},
volume = {42},
number = {2},
pages = {461-470},
year = {2016},
publisher = {Iranian Mathematical Society (IMS)},
issn = {1017-060X},
eissn = {1735-8515},
doi = {},
abstract = {Let $R$ be a commutative ring with non-zero identity. We describe all $C_3$- and $C_4$-free intersection graph of non-trivial ideals of $R$ as well as $C_n$-free intersection graph when $R$ is a reduced ring. Also, we shall describe all complete, regular and $n$-claw-free intersection graphs. Finally, we shall prove that almost all Artin rings $R$ have Hamiltonian intersection graphs. We show that such graphs are indeed pancyclic.},
keywords = {Intersection graph,cycle,claw,Hamiltonian,pancyclic},
url = {http://bims.iranjournals.ir/article_772.html},
eprint = {http://bims.iranjournals.ir/article_772_474628f752047d413e00702e57860add.pdf}
}