BibTex Citation Data :
@article{JFMA7413, author = {Abdul Gazir S and I Gede Adhitya Wardhana and Ni Switrayni and Qurratul Aini}, title = {SOME PROPERTIES OF COPRIME GRAPH OF DIHEDRAL GROUP D_2n WHEN n IS A PRIME POWER}, journal = {Journal of Fundamental Mathematics and Applications (JFMA)}, volume = {3}, number = {1}, year = {2020}, keywords = {}, abstract = { The Study of algebraic structures, especially on graphs theory, leads to a new topics of research in recent years. In this paper, the algebraic structures that will be represented by a coprime graph are the dihedral group and its subgroups. The coprime graph of a group G, denoted by \Gamma_D_2n is a graph whose vertices are elements of G and two distinct vertices a and b are adjacent if only if (|a,|b|)=1. Some properties of the coprime graph of a dihedral group D_2n are obtained. One of the results is if n is prime then \Gamma_D_2n is a complete bipartite graph. Moreover, if n is the power of prime then \Gamma_D_2n is a multipartite graph. }, issn = {2621-6035}, pages = {34--38} doi = {10.14710/jfma.v3i1.7413}, url = {https://ejournal2.undip.ac.id/index.php/jfma/article/view/7413} }
Refworks Citation Data :
The Study of algebraic structures, especially on graphs theory, leads to anew topics of research in recent years. In this paper, the algebraic structures that will be represented by a coprime graph are the dihedral group and its subgroups. The coprime graph of a group G, denoted by \Gamma_D_2n is a graph whose vertices are elements of G and two distinct vertices a and b are adjacent if only if (|a,|b|)=1. Some properties of the coprime graph of a dihedral group D_2n are obtained. One of the results is if n is prime then \Gamma_D_2n is a complete bipartite graph. Moreover, if n is the power of prime then \Gamma_D_2n is a multipartite graph.
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