Chin, Angelina Yan Mui and Tan, Ta Sheng and Ruzali, W. M. A. Wan
(2021)
*The number of non-sources in the directed graphs of rings of integers modulo a prime power.*
Ars Combinatoria, 154.
pp. 101-108.
ISSN 0381-7032,

## Abstract

For a prime p and positive integer n, let Zp(n) and Psi(Z(p)(n)) denote the ring of integers modulo p(n) and the directed graph associated with the ring Zp(n), respectively. In this paper, we obtain an explicit formula for determining the number of non-sources in the directed graph Psi(Zp(n)). This formula may then be used to determine the number of non-sources in the directed graph Psi(Z(m)) where m is a positive integer.

Item Type: | Article |
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Funders: | Universiti Malaya (FG038-17AFR) |

Uncontrolled Keywords: | Finite ring; Directed graph; Graph associated with a ring; Source of graph |

Subjects: | Q Science > QA Mathematics |

Divisions: | Faculty of Science > Institute of Mathematical Sciences |

Depositing User: | Ms Zaharah Ramly |

Date Deposited: | 01 Jun 2022 07:38 |

Last Modified: | 01 Jun 2022 07:38 |

URI: | http://eprints.um.edu.my/id/eprint/27218 |

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