In this paper we first calculate the number of vertices and edges of the intersection graph of ideals of direct product of rings and fields. Then we study Eulerianity and Hamiltonicity in the intersection graph of ideals of direct product of commutative rings.
@article{bwmeta1.element.bwnjournal-article-doi-10_7151_dmal_1224,
author = {Nader Jafari Rad and Sayyed Heidar Jafari and Shamik Ghosh},
title = {On the intersection graphs of ideals of direct product of rings},
journal = {Discussiones Mathematicae - General Algebra and Applications},
volume = {34},
year = {2014},
pages = {191-201},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_7151_dmal_1224}
}
Nader Jafari Rad; Sayyed Heidar Jafari; Shamik Ghosh. On the intersection graphs of ideals of direct product of rings. Discussiones Mathematicae - General Algebra and Applications, Tome 34 (2014) pp. 191-201. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_7151_dmal_1224/
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