Shuker, Nazar and Rashed, Payman
(2016)
*The Zero Divisor Graph of the Ring Z_(2^2 p).*
ARO-The Scientific Journal of Koya University, 4 (2).
pp. 47-50.
ISSN 2307-549X

Text
ARO.10058-VOL4.No2.2016.ISSUE07-pp47-50.pdf - Published Version Available under License Creative Commons Attribution Non-commercial Share Alike. Download (532kB) |

Official URL: http://dx.doi.org/10.14500/aro.10058

## Abstract

In this paper, we consider the crossing number and the chromatic number of the zero divisor graph Γ(Z22 p ) to show that this type of zero divisor graphs is bipartite graph, and the smallest cycle in Γ( ) Z22 p is of length four this implies that the girth is equal four. Index Terms—Bipartite graph, crossing number, girth, planar graph, zero divisor graph of the ring ( Z 22 p ).

Item Type: | Article |
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Uncontrolled Keywords: | Bipartite graph, crossing number, girth, planar graph, zero divisor graph of the ring Z_(2^2 p). |

Subjects: | Q Science > QA Mathematics |

Divisions: | ARO-The Scientific Journal of Koya University > VOL 4, NO 2 (2016) |

Depositing User: | Dr Salah Ismaeel Yahya |

Date Deposited: | 03 Aug 2017 20:10 |

Last Modified: | 03 Aug 2017 20:10 |

URI: | http://eprints.koyauniversity.org/id/eprint/103 |

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