SIFAT-SIFAT GRAF PEMBAGI NOL PADA GELANGGANG POLINOM KUOSIEN (Z_p [x])/〈x^(n+1) 〉 ×(Z_q [x])/〈x^(n+1) 〉

Daisyah Alfian Fatahillah, Ni Wayan Switrayni
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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.
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零因子图是一种无向图,其顶点是交换环的零因子,边定义为当且仅当。wicaksono(2013)给出了模整数环中图零因子的一些特征。本研究旨在将多项式kusien环的零因子元素表示为素数,并将其表示为零因子图。本研究使用的方法是演绎法。结果表明,由多项式环得到的零因子图是完全的二分图,具有与环的周长、离心率、半径和直径有关的一些特征。
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