Title of article
On cycles in intersection graphs of rings
Author/Authors
Hoseini ، N. - Ferdowsi University of Mashhad , Erfanian ، A. - Ferdowsi University of Mashhad , Azimi ، A. - Ferdowsi University of Mashhad , Farrokhi D. G. ، M. - Ferdowsi University of Mashhad
Pages
10
From page
461
To page
470
Abstract
Let R be a commutative ring with non-zero identity. We describe all C3- and C4-free intersection graph of non-trivial ideals of R as well as Cn-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
Journal title
Bulletin of the Iranian Mathematical Society
Serial Year
2016
Journal title
Bulletin of the Iranian Mathematical Society
Record number
2456068
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