@phdthesis{digilib69265,
           month = {December},
           title = {GRAF PRIMA KOPRIMA ATAS GRUP HINGGA},
          school = {UIN SUNAN KALIJAGA YOGYAKARTA},
          author = {NIM.: 20106010029 M.Shofiyulloh},
            year = {2024},
            note = {Arif Munandar, M.Sc.},
        keywords = {Graf, Grup, Teori Bilangan},
             url = {https://digilib.uin-suka.ac.id/id/eprint/69265/},
        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.}
}