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- W2125402220 abstract "Let <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=M2><mml:mrow><mml:msub><mml:mrow><mml:mi>E</mml:mi></mml:mrow><mml:mrow><mml:mi>n</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math> be the ring of Eisenstein integers modulo <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=M3><mml:mrow><mml:mi>n</mml:mi></mml:mrow></mml:math>. In this paper we study the zero divisor graph <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=M4><mml:mi mathvariant=normal>Γ</mml:mi><mml:mo stretchy=false>(</mml:mo><mml:msub><mml:mrow><mml:mi>E</mml:mi></mml:mrow><mml:mrow><mml:mi>n</mml:mi></mml:mrow></mml:msub><mml:mo stretchy=false>)</mml:mo></mml:math>. We find the diameters and girths for such zero divisor graphs and characterize <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=M5><mml:mrow><mml:mi>n</mml:mi></mml:mrow></mml:math> for which the graph <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=M6><mml:mi mathvariant=normal>Γ</mml:mi><mml:mo stretchy=false>(</mml:mo><mml:msub><mml:mrow><mml:mi>E</mml:mi></mml:mrow><mml:mrow><mml:mi>n</mml:mi></mml:mrow></mml:msub><mml:mo stretchy=false>)</mml:mo></mml:math> is complete, complete bipartite, bipartite, regular, Eulerian, Hamiltonian, or chordal." @default.
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- W2125402220 date "2014-12-15" @default.
- W2125402220 modified "2023-09-27" @default.
- W2125402220 title "Zero Divisor Graph for the Ring of Eisenstein Integers Modulo n" @default.
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- W2125402220 doi "https://doi.org/10.1155/2014/146873" @default.
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