eprintid: 69265 rev_number: 10 eprint_status: archive userid: 12460 dir: disk0/00/06/92/65 datestamp: 2025-01-13 02:33:46 lastmod: 2025-01-13 02:33:46 status_changed: 2025-01-13 02:33:46 type: thesis metadata_visibility: show contact_email: muh.khabib@uin-suka.ac.id creators_name: M.Shofiyulloh, NIM.: 20106010029 title: GRAF PRIMA KOPRIMA ATAS GRUP HINGGA ispublished: pub subjects: 560 divisions: jur_mat full_text_status: restricted keywords: Graf, Grup, Teori Bilangan note: Arif Munandar, M.Sc. abstract: The coprime prime graph of a finite group is a representation of the finite group on a graph, where the group elements are viewed as vertices of the graph, and two distinct vertices x and y are adjacent if and only if the greatest common divisor (GCD) of the orders of x and y is 1 or a prime number. This study examines the relationship between the properties of the coprime prime graph of a finite group and the properties of the finite group itself, as well as the characteristics of the coprime prime graph of a finite group that is an Euler graph for any finite group. Furthermore, the study discusses the characteristics of the coprime prime graph of the groups Zn and D2n, including connected graphs, complete graphs, planar graphs, and Hamiltonian graphs for various values of n 2 N. The study also explores the vertex connectivity of the coprime prime graph for the groups Zn and D2n for any n 2 N. date: 2024-12-20 date_type: published pages: 88 institution: UIN SUNAN KALIJAGA YOGYAKARTA department: FAKULTAS SAINS DAN TEKNOLOGI thesis_type: skripsi thesis_name: other citation: M.Shofiyulloh, NIM.: 20106010029 (2024) GRAF PRIMA KOPRIMA ATAS GRUP HINGGA. Skripsi thesis, UIN SUNAN KALIJAGA YOGYAKARTA. document_url: https://digilib.uin-suka.ac.id/id/eprint/69265/1/20106010029_BAB-I_IV-atau-V_DAFTAR-PUSTAKA.pdf document_url: https://digilib.uin-suka.ac.id/id/eprint/69265/2/20106010029_BAB-II_sampai_SEBELUM-BAB-TERAKHIR.pdf