Title of article
On cycles in intersection graphs of rings
Author/Authors
Hoseini، N نويسنده Ferdowsi University of Mashhad , , Erfanian، A. نويسنده Ferdowsi University of Mashhad , , Azimi، A. نويسنده , , Farrokhi ، M. نويسنده Ferdowsi University of Mashhad ,
Issue Information
دوماهنامه با شماره پیاپی 0 سال 2016
Pages
10
From page
461
To page
470
Abstract
Let $R$ be a commutative ring with non-zero identity. We describe all $C_3$- and $C_4$-free intersection graph < s > 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.
Journal title
Bulletin of the Iranian Mathematical Society
Journal title
Bulletin of the Iranian Mathematical Society
Record number
2388606
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