Article Per Year (5 Year)
p-Index From 2020 - 2025
0.408
P-Index
This Author published in this journals
All Journal Journal of the Indonesian Mathematical Society
Erfanian, Ahmad
Unknown Affiliation
Mathematics

Published : 2 Documents Claim Missing Document
Claim Missing Document
Check
Articles

Found 2 Documents
Search

 1 
Representation Matrices of Coprime Graph of Generalized Quaternion Group Zahidah, Siti; Zulfikar, Ahmad Nadimas; Estuningsih, Nenik; Erfanian, Ahmad
Journal of the Indonesian Mathematical Society Vol. 31 No. 3 (2025): SEPTEMBER
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.v31i3.1772

Abstract

This study discusses the representation matrices of coprime graph of generalized quaternion group. The representation matrices are adjacency matrix, antiadjacency matrix, Laplacian matrix, and signless Laplacian matrix. Furthermore, the eigenvalues of each representation matrices are determined. As the results, we obtained the construction of the four representation matrices and their eigenvalues. Based on the matrix form, we got the matrix determinant is zero, so that the matrices have zero eigenvalues except signless Laplacian matrix. As for the non-zero eigenvalues, the values depends on the type of representation matrices and the order of the graph as well as its algebraic multiplicity.
The Structure of Cayley Graph of Dihedral Groups of Valency 4 Shahini, Fatemeh; Erfanian, Ahmad
Journal of the Indonesian Mathematical Society Vol. 31 No. 4 (2025): DECEMBER
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.v31i4.1503

Abstract

Let G be a group and S be a subset of G in which e /∈ S and S−1 ⊆ S. The Cayley graph of group G with respect to subset S, denoted by Cay(G, S), is an undirected simple graph whose vertices are all elements of G, and two vertices x and y are adjacent if and only if xy−1 ∈ S. If |S| = k, then Cay(G, S) is called a Cayley graph of valency k. The aim of this paper is to determine the structure of Cayley graph of dihedral groups D2n of order 2n when n = p or 2p2, where p is an odd prime number. The graph structures are based on circulant graphs with suitable jumps.
Co-Authors Nenik Estuningsih, Nenik Shahini, Fatemeh Siti Zahidah Zulfikar, Ahmad Nadimas