Shofiyulloh, M.
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GRAF PRIMA KOPRIMA ATAS GRUP DIHEDRAL Shofiyulloh, M.; Munandar, Arif; Wardati, Khurul
Jurnal Ilmiah Matematika dan Pendidikan Matematika Vol 16 No 2 (2024): Jurnal Ilmiah Matematika dan Pendidikan Matematika (JMP)
Publisher : Universitas Jenderal Soedirman

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20884/1.jmp.2024.16.2.13868

Abstract

A coprime prime graph over a finite group is a representation of a finite group on a graph by viewing group members as vertices of the graph and two distinct vertices and are adjacent if and only if order and order are prime or mutually prime. This research examines how to characterize the coprime prime graph over the dihedral group. Through analysis of the patterns that appear in the graphs formed, properties of coprime prime graphs over dihedral groups can be found, especially those related to the characterization of complete graphs and Hamiltonian graphs. This research also discusses the vertex connectivity of the coprime prime graph over the dihedral group.