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 Ring

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, (PG(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 ring Z_(p_1 )×Z_(p_2 ) for distinct prime numbers p_1 and p_2. We find that some properties of PG(Z_(p_1 )×Z_(p_2 ) ) such as order, size, the number of triangles, and Wiener. Further, we construct the line graph of PG(Z_(p_1 )×Z_(p_2 ) ) and calculate the order, size, and Wiener index of L(PG(Z_(p_1 )×Z_(p_2 ) )).

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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 ...