Open AccessZero Divisor Graph for the Ring of Eisenstein Integers Modulo n
Author(s) -
Osama Alkam,
Emad Abu Osba
Publication year - 2014
Publication title -
algebra
Language(s) - English
Resource type - Journals
eISSN - 2314-4114
pISSN - 2314-4106
DOI - 10.1155/2014/146873
Subject(s) - algorithm , artificial intelligence , computer science
Let En be the ring of Eisenstein integers modulo n. In this paper we study the zero divisor graph Γ(En). We find the diameters and girths for such zero divisor graphs and characterize n for which the graph Γ(En) is complete, complete bipartite, bipartite, regular, Eulerian, Hamiltonian, or chordal
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