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SOME PROPERTIES OF THE ZERO-DIVISOR GRAPH FOR THE RING OF GAUSSIAN INTEGERS MODULO n

Published online by Cambridge University Press:  21 March 2011

EMAD ABU OSBA ,
SALAH AL-ADDASI  and
BASEM AL-KHAMAISEH
EMAD ABU OSBA
Affiliation:
Department of Mathematics, Faculty of Science, University of Jordan, Amman 11942, Jordan e-mail: eabuosba@ju.edu.jo
SALAH AL-ADDASI
Affiliation:
Department of Mathematics, Faculty of Science, Hashemite University, Zarqa 13115, Jordan e-mail: salah@hu.edu.jo
BASEM AL-KHAMAISEH
Affiliation:
Department of Mathematics, Faculty of Science, University of Jordan, Amman 11942, Jordan e-mail: basem198426@yahoo.com
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Abstract

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This paper is a continuation for the study of the zero-divisor graph for the ring of Gaussian integers modulo n, Γ(ℤn[i]) in [8] (Emad Abu Osba, Salah Al-Addasi and Nafez Abu Jaradeh. Zero divisor graph for the ring of Gaussin integers modulo n. Comm. Algebra 36(10) (2008), 3865–3877). It is investigated, when is Γ(ℤn[i]) locally H, Hamiltonian or bipartite graph? A full characterisation for the chromatic number and the radius is also given.

Keywords

13A9905C15

Information

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 53 , Issue 2 , May 2011 , pp. 391 - 399
Copyright
Copyright © Glasgow Mathematical Journal Trust 2011

References

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