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All Journal Electronic Journal of Graph Theory and Applications (EJGTA) M A T H L I N E : Jurnal Matematika dan Pendidikan Matematika Jurnal Matematika UNAND Indonesian Journal of Community Services Euler : Jurnal Ilmiah Matematika, Sains dan Teknologi
Ikhlas Pratama Sandy
Department Of Mathematics, Faculty Of Mathematics And Natural Sciences, University Of Andalas, Padang, Indonesia
Humanities Computer Science & IT Education Electrical & Electronics Engineering Mathematics Social Sciences

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Graceful labeling construction for some special tree graph using adjacency matrix Nikson Simarmata; Ikhlas Pratama Sandy; Kiki A. Sugeng
Electronic Journal of Graph Theory and Applications (EJGTA) Vol 11, No 2 (2023): Electronic Journal of Graph Theory and Applications
Publisher : GTA Research Group, Univ. Newcastle, Indonesian Combinatorics Society and ITB

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.5614/ejgta.2023.11.2.1

Abstract

In 1967, Rosa introduced β − labeling which was then popularized by Golomb under the name graceful. Graceful labeling on a graph G is an injective function f : V(G)→{0, 1, 2, …, |E(G)|} such that, when each edge uv ∈ E(G) is assigned the label |f(u)−f(v)| the resulting edge labels are distinct. If graph G has graceful labeling then G is called a graceful graph. Rosa also introduced α − labeling on graph G which is a graceful labeling f with an additional condition that there is λ ∈ {1, 2, …, |E(G)|} so that for every edge uv ∈ E(G) where f(u)<f(v) then f(u)≤λ < f(v). This paper gives a new approach to showing a graph is admitted α − labeling using an adjacency matrix. Then this construction will be used to construct graceful labeling for the superstar graph. Moreover, we give a graceful labeling construction for a super-rooted tree graph.
LOCATING CHROMATIC NUMBER OF ONE-HEART GRAPH Hamdi, Muhammad; Welyyanti, Des; Sandy, Ikhlas Pratama
Jurnal Matematika UNAND Vol 14, No 1 (2025)
Publisher : Departemen Matematika dan Sains Data FMIPA Universitas Andalas Padang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.25077/jmua.14.1.85-92.2025

Abstract

Bilangan kromatik lokasi merupakan konsep dari dimensi partisi graf dengan pewarnaan titik graf. Bilangan kromatik lokasi dari G, dinotasikan dengan χL(G) adalah jumlah warna minimum yang dipakai untuk pewarnaan lokasi. Dalam Artikel ini dijelaskan cara menentukan bilangan kromatik lokasi graf sehati. Metode yang dipakai agar diperolehnya bilangan kromatik lokasi graf sehati adalah dengan memperoleh nilai eksaknya. Hasil yang didapatkan dari bilangan kromatik lokasi graf sehati adalah χL(Hr_n)=4 untuk n=2 dan χL(Hr_n)=5 untuk n≥3.
LOCATING CHROMATIC NUMBER OF ONE-HEART GRAPH Hamdi, Muhammad; Welyyanti, Des; Sandy, Ikhlas Pratama
Jurnal Matematika UNAND Vol. 14 No. 1 (2025)
Publisher : Departemen Matematika dan Sains Data FMIPA Universitas Andalas Padang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.25077/jmua.14.1.85-92.2025

Abstract

Bilangan kromatik lokasi merupakan konsep dari dimensi partisi graf dengan pewarnaan titik graf. Bilangan kromatik lokasi dari G, dinotasikan dengan χL(G) adalah jumlah warna minimum yang dipakai untuk pewarnaan lokasi. Dalam Artikel ini dijelaskan cara menentukan bilangan kromatik lokasi graf sehati. Metode yang dipakai agar diperolehnya bilangan kromatik lokasi graf sehati adalah dengan memperoleh nilai eksaknya. Hasil yang didapatkan dari bilangan kromatik lokasi graf sehati adalah χL(Hr_n)=4 untuk n=2 dan χL(Hr_n)=5 untuk n≥3.
The Metric Dimension and Partition Dimension of The Amalgamation of Complete Graphs Abdurrahman, Fatih; Welyyanti, Des; Sandy, Ikhlas Pratama
Mathline : Jurnal Matematika dan Pendidikan Matematika Vol. 10 No. 1 (2025): Mathline : Jurnal Matematika dan Pendidikan Matematika
Publisher : Universitas Wiralodra

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31943/mathline.v10i1.739

Abstract

In this paper, there is a section that identifies the aim of the research and makes it possible to suggest exploring the metric dimension and partition dimension of the amalgamation of complete graphs, which we would denote as Amal(Kn, v0)t. There are three steps conducted to achieve the research goals in this paper. To begin with, compute the lower bound of the metric dimension and the partition dimension of the graph Amal(Kn, v0)t. The second step is to find the upper bounds of the metric dimension and partition dimension of the graph Amal(Kn, v0)t by demonstrating that the representation of any vertex in Amal(Kn, v0)t is distinct. Finally, the exact values of the metric dimension and partition dimension of the graph Amal(Kn, v0)t are found if the lower and upper bounds are determined. The exact value of the metric dimension of the graph Amal(Kn, v0)t is denoted as dim(Amal(Kn, v0)t), while the exact value of the partition dimension is denoted as pd(Amal(Kn, v0)t). In this research, it is found that dim(Amal(Kn, v0)t) = (n - 2) for n, t ϵ N with n ≥ 3 and t ≥ 2. It is also found that pd(Amal(Kn, v0)t) = n for 2 ≤ t ≤ Cnn-1.
Improving Product Quality through the Implementation of Good Manufacturing Practices and Vacuum Packaging in Smoked Catfish Businesses in Pasaman Setiawan, Rizki Dwi; Ananda, Ananda; Sandy, Ikhlas Pratama; Juliyarsi, Indri; Melia, Sri; Vebriyanti, Ely; Sukma, Ade; Aulia, Surya; Putri, Annisa; Rifki, Adam Muhammad; Sari, Deta Yosfa; Salsabila, Andhini Aulia; Farid, Muhammad; Hasanah, Zahratul
Indonesian Journal of Community Services Vol 7, No 1 (2025): May 2025
Publisher : LPPM Universitas Islam Sultan Agung

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30659/ijocs.7.1.85-92

Abstract

The production of smoked catfish in Pasaman Barat faces several challenges, including traditional smoking processes that lack the implementation of Good Manufacturing Practices (GMP), inadequate packaging and labeling, and limited marketing strategies. These conditions result in inconsistent product quality, a short shelf life, and low market competitiveness. This community service program aims to improve the product quality and sustainability of the Gusni Afrida MSME partner through the application of GMP, enhanced packaging techniques, and the development of digital marketing strategies.  The methods employed include training in GMP implementation, vacuum packaging techniques, labeling, replacement of equipment compliant with GMP standards, and mentoring in GMP applications. The program enhances the partner's understanding of GMP, vacuum packaging techniques, labeling, production management, and digital marketing, accompanied by the practical implementation of GMP. This involves the use of equipment that meets GMP standards, employing proper production personnel attributes, vacuum packaging techniques, and attractive product labeling. In addition, e-commerce-based marketing broadens market access.  Implementation of this program is expected to positively impact the quality, efficiency, and competitiveness of the partner's products. The adoption of GMP and modern marketing strategies can serve as models for the development of small businesses in the local food industry.
Analysis of Mpox Dynamic Model with Reinfection and Treatment Chasanah, Siti Laelatul; Nurvazly, Dina Eka; Sandy, Ikhlas Pratama; Hasanah, Arvi
Euler : Jurnal Ilmiah Matematika, Sains dan Teknologi Volume 13 Issue 2 August 2025
Publisher : Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.37905/euler.v13i2.32358

Abstract

This research aims to develop a mathematical model of monkeypox disease spread with reinfection and hospitalization. This model divided the human population into five sub-populations: susceptible, exposed, infectious, hospitalized, and recovered. On the other hand, the animal population is divided into three: susceptible, exposed, and infectious. The results of the model analysis show that the stability of the two equilibrium points, disease-free and endemic, is asymptotically stable when  and , respectively. A sensitivity analysis was conducted on the parameter of the rate at which infected individuals are hospitalized. Based on numerical simulations, a disease-free state has been achieved when more than 68.87% of infected individuals receive hospital treatment. Hospital treatment has a positive impact on efforts to reduce the number of infected individuals in the population. The more individuals who are hospitalized, the greater the number of individuals who are exposed, hospitalized, and recover will increase.
Co-Authors Abdurrahman, Fatih Ade Sukma Ananda, Ananda Annisa Putri Aulia, Surya Des Welyyanti Dina Eka Nurvazly, Dina Eka Hamdi, Muhammad Hasanah, Arvi Hasanah, Zahratul Indri Juliyarsi Kiki A. Sugeng Melia, Sri Muhammad Farid Nikson Simarmata Rifki, Adam Muhammad Rizki Dwi Setiawan Salsabila, Andhini Aulia Sari, Deta Yosfa Siti Laelatul Chasanah, Siti Laelatul Vebriyanti, Ely