Sifat-Sifat Graf Pembagi Nol pada Gelanggang Polinom Kuosien (Z_p [x])/〈x^(n+1) 〉 ×(Z_q [x])/〈x^(n+1) 〉

Authors

  • Dais Alifian Fatahillah mataram of university
  • Ni Wayan Switrayni Program Studi Matematika Unram

DOI:

https://doi.org/10.29303/emj.v3i1.51

Keywords:

polynomial ring, zero-divisor, girth, eccentricity, radius, diameter

Abstract

Zero-divisor graph is an undirectedgraphwhose vertices are zero-divisors of a commutative ring and edges defined as  if and only if .Wicaksono (2013) gave some characteristics of graph zero-divisor in the modulary integer ring. This research aims to represent the zero-divisor elements of the polynomial kuosien ring where are prime numbers and  into a graph called the zero-divisor graph The method used in this research is a deduktive method. The result shows that the zero divisor graph obtained from polynomial kuosien ring is complete bipartit graph with some characteristics related to its girth, ecccentricity, radius and diameter.

References

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Wicaksono, S. A. dan Soleha, 2013, Kajian Sifat-Sifat Graf Pembagi-nol dari Ring Komutatif dengan Elemen Satuan, Jurnal Sains dan Seni Pomits, Vol.2 No.1, Jurusan Matematika FMIPA ITS, Surabaya

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Abdussakir. (2017). Radius, Diameter, Multiplisitas Sikel, dan Dimensi Metrik Graf Komuting dari Grup Dihedral. Jurnal Matematika “Mantik”, 3(1), 1-4. doi: 10.15642/mantik.2017.3.1.1-4

Published

2020-06-26

How to Cite

Fatahillah, D. A., & Switrayni, N. W. (2020). Sifat-Sifat Graf Pembagi Nol pada Gelanggang Polinom Kuosien (Z_p [x])/〈x^(n+1) 〉 ×(Z_q [x])/〈x^(n+1) 〉. EIGEN MATHEMATICS JOURNAL, 3(1), 29–34. https://doi.org/10.29303/emj.v3i1.51

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