CAUCHY: Jurnal Matematika Murni dan Aplikasi
Vol 11, No 1 (2026): CAUCHY: JURNAL MATEMATIKA MURNI DAN APLIKASI

Some Properties of Prime Graph of Cartesian Product of The Rings and It's Line Graph

Krisnawati, Vira Hari (Unknown)
Musyarrofah, Ayunda Faizatul (Unknown)
Hidayat, Noor (Unknown)
Fatimah, Farah Maulidya (Unknown)

Article Info

Publish Date
30 May 2026

Abstract

The prime graph of the ring R, P G(R), is a graph which set of vertices consists of elements of R and two different vertices are adjacent if their product in the ring is zero. We study the prime graph of cartesian product of the rings Zp1 × Zp2 for distinct prime numbers p1 and p2. We find that some properties of P G(Zp1 × Zp2 ) such as order, size, the number of triangles, and Wiener index. Further, we construct the line graph of P G(Zp1 × Zp2 ) and calculate the order, size, and Wiener index of L(P G(Zp1 × Zp2 )).

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Journal Info
CAUCHY: Jurnal Matematika Murni dan Aplikasi
Website

Abbrev

Math

Publisher

Universitas Islam Negeri Maulana Malik Ibrahim Malang

Subject

Mathematics

Description

Jurnal CAUCHY secara berkala terbit dua (2) kali dalam setahun. Redaksi menerima tulisan ilmiah hasil penelitian, kajian kepustakaan, analisis dan pemecahan permasalahan di bidang Matematika (Aljabar, Analisis, Statistika, Komputasi, dan Terapan). Naskah yang diterima akan dikilas (review) oleh ...