On the intersection graphs of ideals of direct product of rings
Journal Title: Discussiones Mathematicae - General Algebra and Applications - Year 2014, Vol 34, Issue 2
Abstract
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. Keywords: ideal, direct sum, intersection graph, Eulerian, Hamiltonian. 2010 Mathematics Subject Classification: 16D25, 16D70, 05C75, 05C62.
Authors and Affiliations
Shamik Ghosh, Nader Rad, Sayyed Jafari
Keywords
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