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COLORING r-DYNAMIC POINT ON CRICKET GRAPH Kusumawati, Nurita; Kristiana, Arika Indah; Alfarisi, Ridho; Adawiyah, Robiatul; Setiawan, Toto Bara; Prihandini, Rafiantika Megahnia
JURNAL DIFERENSIAL Vol 6 No 1 (2024): April 2024
Publisher : Program Studi Matematika, Universitas Nusa Cendana

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35508/jd.v6i1.12191

Abstract

A graph is defined as an ordered set (V,E) where V is a non-empty set of elements called vertices and E is a set of edges which are finite and may be empty and each edge connects two different points of V(G).The r-dynamic coloring is defined as c:V(G)→{1,2,3,…,k} such that it satisfies the following conditions if uv∈V(G), then c(u)≠ c(v), and ∀v∈V(G), |c(N(v))|≥min⁡{r,d(v)}, for positive integers r and degree of vertex v. The purpose of r-dynamic coloring is to find the minimum chromatic number of graph coloring with unlimited parameter r. Dynamic coloring is performed on cricket graphs because no research has been done before. The method used in this research is the axiomatic deductive research method and the pattern detection method.
BILANGAN KROMATIK GRACEFUL PADA KELUARGA GRAF SENTRIPETAL Lestari, Deninta Dwi Ayu; Kristiana, Arika Indah; Prihandini, Rafiantika Megahnia; Alfarisi, Ridho; Setiawan, Toto Bara; Adawiyah, Robiatul
JURNAL DIFERENSIAL Vol 6 No 1 (2024): April 2024
Publisher : Program Studi Matematika, Universitas Nusa Cendana

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35508/jd.v6i1.12746

Abstract

One of the topics studied in graphs is graph coloring. The definition of a graceful coloring, namely $k$-elegant coloring of a graph G is the exact vertex coloring c:V(G)→{ 1,2,...,k} where k≥2 induces the exact vertex coloring c^': V(G)→ {1,2,...,k-1} which is defined by c(uv)=|c(u)-c(v)|. The exact vertex coloring c of a graph G is a graceful coloring if c is a k-elegant coloring for k∈N. The graceful chromatic number is the minimum k value where graph G has k-elegant coloring, the elegant chromatic number of graph G is denoted by X_g (G). This article will discuss graceful chromatic numbers in the centripetal graph family which includes octopus graph (O_n), sandat graph (St_n),dutch windmill graph (D_3^m) , and a volcano graph (V_n).
An Inclusive Local Irregularity Vertex Coloring of Dutch Windmill Graph Kristiana, Arika Indah; Prahastiwi, Lusi Rizzami; Prihandini, Rafiantika Megahnia
CAUCHY: Jurnal Matematika Murni dan Aplikasi Vol 8, No 2 (2023): CAUCHY: JURNAL MATEMATIKA MURNI DAN APLIKASI
Publisher : Mathematics Department, Universitas Islam Negeri Maulana Malik Ibrahim Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.18860/ca.v8i2.17154

Abstract

Let G(V,E) is a simple and connected graph with V(G) as vertex set and E(G) as edge set. An inclusive local irregularity vertex coloring is a development of the topic of local irregularity vertex coloring. An inclusive local irregularity vertex coloring is defined by coloring the graph so that its weight value is obtained by adding up the labels of the neighboring vertex and its label. The inclusive local irregularity chromatic number is defined as the minimum number of colors obtained from coloring the vertex of the inclusive local irregularity in graph G. In this paper, we find the inclusive local irregularity vertex coloring and determine the chromatic number on the Dutch windmill graph using axiomatic deductive and pattern recognition methods. The results of this study are expected to be used as a basis for studies in the development of knowledge related to the inclusive local irregularity vertex coloring
Super (a, d)-hyperedge antimagic total labeling on hypergraphs of the volcano graph, semi parachute graph, and comb product graph Adawiyah, Robiatul; Asari, Okta Endri; Dafik, Dafik; Kristiana, Arika Indah; Prihandini, Rafiantika Megahnia; Rohini, A
Alifmatika (Jurnal pendidikan dan pembelajaran Matematika) Vol 7 No 2 (2025): Alifmatika - December
Publisher : Fakultas Tarbiyah Universitas Ibrahimy

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35316/alifmatika.2025.v7i2.391-408

Abstract

In graph theory, understanding the labeling of graphs and hypergraphs provides valuable insights into their structural properties and applications. A hypergraph generalizes the notion of a conventional graph, defined as a mathematical structure built from a vertex set V and a hyperedge set E, where each hyperedge is allowed to connect two or more vertices simultaneously. The essential distinction between a graph and a hypergraph lies in their edges. While in a graph a single edge connects exactly two vertices, in a hypergraph a single hyperedge may connect any number of vertices, including two. A hypergraph is considered to admit a super (a, d) -hyperedge antimagic total labeling, such that the vertex label functions f: V(H)  1, 2, 3, ....., V(H) then f: E(H)  V(H) + 1, ....., V(H) + V(H) and weight w(ei) = ∑ f(ei) + ∑ f(Vi,j), where i denotes the number of hyperedges, j represents the number of vertices contained in a hyperedge, and e_i refers to the set of vertices and its associated edges with weight w(ei) for each hyperedge. A super (a, d) -hyperedge antimagic total labeling is formulated as a labeling scheme based on arithmetic progressions, where ???? serves as the initial value and d denotes the common difference between consecutive labels. In this scheme, the total weight of a hyperedge is determined by deriving from the sum of the vertex labels and the label of the respective hyperedge. The labels are arranged in an arithmetic sequence, ensuring that each hyperedge has a distinct weight. This study focuses on several special classes of hypergraphs, namely, the volcano graph, the semi-parachute graph, and the comb product of graphs, to implement and examine the characteristics of the super (a, d)-hyperedge antimagic total labeling. By focusing on these graph classes, the study contributes to combinatorics by offering a deeper understanding of hypergraph labeling schemes and their potential applications in network theory, coding theory, and data modeling.
STRENGTHENING MICRO, SMALL, AND MEDIUM ENTERPRISES DIGITAL MARKETING BASED ON LOCAL COMMUNITY EMPOWERMENT TO SUPPORT THE REALIZATION OF SDG’S IN SUCOLOR VILLAGE Prihandini, Rafiantika Megahnia; Adawiyah, Robiatul; Setiawanai, Susi; Dewi, Mayra Fadhilla
As-Sidanah Vol 7 No 2 (2025): OKTOBER
Publisher : LP2M Universitas Ibrahimy

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35316/assidanah.v7i2.455-468

Abstract

Sucolor Village possesses significant local economic potential, particularly in the Micro, Small, and Medium Enterprises (UMKM) sector. However, the utilization of digital technology for product marketing remains limited, resulting in restricted market access and low competitiveness of local products. This activity aims to optimize digital marketing strategies based on local community development to support UMKM sustainability and contribute to the achievement of the Sustainable Development Goals (SDGs) in Sucolor Village. The method employed in this initiative is the ADDIE training model, which includes digital marketing training, branding optimization, and marketing strategies based on social media and e-commerce. This activity involves empowering the local community, particularly women and youth groups, to enhance digital skills and product innovation. As a result of this program, participants demonstrated significant improvement in digital marketing competence, with average post-training scores increasing from 1.7-2.3 to 3.9-4.3 across key indicators such as branding, content creation, and marketplace management. A digital catalog website was successfully developed, and local UMKM began actively promoting their products online. Additionally, the introduction of coffee-themed batik products reinforced local identity and broadened the creative economy. Overall, this community service proved to be an effective way to enhance digital literacy, expand market reach, and increase the economic resilience of rural entrepreneurs.
Effectiveness of Digital Simulation-Based Learning Approach in Optimizing Students’ Understanding of Queueing Models Using Real-Life Data Arin Berliana Angrenani; Dian Kurniati; Susi Setiawani; Rafiantika Megahnia Prihandini; Ngizatul Afifah
(IJCSAM) International Journal of Computing Science and Applied Mathematics Vol. 11 No. 2 (2025)
Publisher : LPPM Institut Teknologi Sepuluh Nopember

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.12962/j24775401.ijcsam.v11i2.8850

Abstract

This study examines indications of the effectiveness of a digital simulation-based learning approach in supporting students’ understanding of queueing models using real-life data. Aquasi-experimental one-group pretest–posttest design, supported by qualitative interview data, was conducted with 31 undergraduate mathematics education students at the University of Jember. The ExtendSim software was used to create interactive queueing simulations that allowed students to explore parameters such as arrival rate, service rate, and waiting time. Validity and reliability tests were conducted using item–total (Pearson) correlations and Cronbach’s alpha, with results indicating high validity (r > 0.5, p < 0.05) and high internal consistency (a > 0.80). A paired ttest showed a statistically significant increase in scores within this sample (t = 8.89, p < 0.001). Students’ perceptions of the simulation were highly positive, with an average Likert score of 3.23 (very high). Qualitative interviews further indicated that the simulations helped students visualize queue dynamics and relate theoretical concepts to real-life contexts. There were also indications of increased motivation, engagement, and computational thinking skills; however, these findings are limited by the single-site sample and the one-group study design.
The Development of Pop-Up Book Learning Media Supported by Technology on Integer Material Based on Type of Children with Special Needs Saputra, Fahrian Dwi; Lestari, Nurcholif Diah Sri; Murtikusuma, Randi Pratama; Pambudi, Didik Sugeng; Prihandini, Rafiantika Megahnia
Jurnal Pendidikan Matematika Vol 8, No 2 (2025): Jurnal Pendidikan Matematika (Kudus)
Publisher : Universitas Islam Negeri Sunan Kudus

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.21043/jpmk.v8i2.32530

Abstract

Concrete learning media are very important for children with special needs because they can improve understanding through visualization and engaging message delivery. Based on observations at Jember Special School Type C (Education and Care Centre), learning media are rarely used, especially when teaching integer material. This study aims to describe the process and outcomes of developing a pop-up book learning medium tailored to the different types of children with special needs, ensuring its validity, practicality, and effectiveness. The study employs a modified 4-D development model within a Research and Development (R&D) framework. Data were collected through validation sheets, user response questionnaires, interview guides, and learning outcome tests. Three methods of data analysis were used: validity analysis, practicality analysis, and effectiveness analysis. The validation results showed average scores of 3.67, 3.69, and 3.54 for learning media designed for students with intellectual disabilities, physical disabilities, and visual impairments, respectively, which are categorized as valid. The media were then tested on nine students at Jember Special School Type C, consisting of seven students with intellectual disabilities, one student with visual impairment, and one student with physical disability. Practicality analysis was conducted based on student and teacher response questionnaire scores, which were 80.25% and 80.75%, respectively, indicating a good level of practicality. The learning outcome test showed a 100% mastery level, indicating that the learning media met the criteria for effectiveness. This research is expected to serve as a reference for other researchers who wish to develop similar instructional media or further develop pop-up book learning media for other types of children with special needs. Media pembelajaran konkret sangat penting bagi anak berkebutuhan khusus karena dapat meningkatkan pemahaman mereka melalui visualisasi dan penyampaian pesan yang menarik. Berdasarkan observasi di SLB-C TPA (Taman Pendidikan dan Asuhan)  Jember, media pembelajaran jarang digunakan, terutama saat mengajarkan materi bilangan bulat. Penelitian ini bertujuan untuk mendeskripsikan proses dan hasil pengembangan pop -up book sebagai media pembelajaran berdasarkan jenis ABK yang valid, praktis, dan efektif. Penelitian ini menggunakan model pengembangan 4-D yang dimodifikasi dalam kerangka R&D. Pengumpulan data dilakukan melalui lembar validasi, angket respon pengguna, pedoman wawancara, dan tes hasil belajar. Terdapat tiga metode analisis data yaitu analisis kevalidan, analisis kepraktisan, dan analisis keefektifan. Hasil validasi menunjukkan skor rata-rata untuk media pembelajaran tunagrahita, tunadaksa, dan tunanetra sebesar 3,67; 3,69; dan 3,54 yang dikategorikan valid. Media tersebut kemudian diuji coba pada sembilan peserta didik di SLB-C TPA Jember, terdiri dari tujuh peserta didik tunagrahita, satu peserta didik tunanetra, dan satu peserta didik tunadaksa. Analisis kepraktisan dilakukan melalui skor angket respon siswa dan guru yang masing-masing sebesar 80,25% dan 80,75%, menunjukkan tingkat kepraktisan yang baik. Hasil Tes Hasil Belajar menunjukkan ketuntasan belajar sebesar 100%, yang menandakan media pembelajaran telah memenuhi kategori efektif. Penelitian ini diharapkan dapat dijadikan referensi bagi peneliti lain yang ingin mengembangkan media pembelajaran sejenis ataupun mengembangakn media pembelajaran pop-up book untuk anak berkebutuhan khusus lainnya.
Developing Nearpod-based interactive learning media on the topic of algebra to improve critical thinking ability Dian Kurniati; Sabna Setiawati; Dhanar Dwi Hary Jatmiko; Arika Indah Kristiana; Rafiantika Megahnia Prihandini
AXIOM : Jurnal Pendidikan dan Matematika Vol 15, No 1 (2026)
Publisher : State Islamic University of North Sumatra

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30821/axiom.v15i1.20543

Abstract

Interactive learning has become a necessity in the modern educational era, particularly for facilitating students’ understanding of abstract mathematical concepts such as algebra. Difficulties in comprehending algebraic concepts often hinder the development of students’ critical thinking skills, which are essential for solving problems and making logical decisions. This study aimed to develop Nearpod-assisted interactive learning media and examine its effectiveness in enhancing students’ critical thinking skills in algebra. The study employed the Thiagarajan (4-D) development model, consisting of four stages, namely define, design, develop, and disseminate. The research subjects were selected through purposive sampling and consisted of 31 seventh-grade students (16 females and 15 males) from Class VII G of State Junior High School 4 Jember, Indonesia, who demonstrated low levels of critical thinking skills based on the results of an initial assessment. Data were collected through classroom observations, critical thinking tests, and student response questionnaires. The effectiveness of the developed media was evaluated by testing the research hypothesis regarding the impact of Nearpod-assisted learning on students’ critical thinking skills. Data were analyzed using a paired-samples t-test and N-Gain analysis. The t-test results showed a significance value (Sig. 2-tailed) of 0.000 (< 0.05), indicating a significant difference between the mean pre-test and post-test scores. Furthermore, the N-Gain percentage reached 80.19%, indicating a high level of improvement. These findings suggest that Nearpod-assisted interactive learning media is effective in improving students’ critical thinking skills in algebra and positively contributes to their learning outcomes at State Junior High School 4 Jember.
Numerical Modelling of Social Media Addiction Cases Using 15th Order Runge-Kutta Arif Fatahillah; Rafiantika Megahnia Prihandini; Arfan Hidayatullah; Susi Setiawani; Robiatul Adawiyah
Jurnal Matematika UNAND Vol. 14 No. 4 (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.14.4.400-410.2025

Abstract

The advancement of information technology has led to more and more people, especially teenagers, becoming addicted to using various social platforms. Despite being a very useful application for social interaction, the habit of spending excessive time on social media is prone to addiction so that teenagers can experience anxiety disorders, depression, health problems, and more. The purpose of this study is to determine the effectiveness of the 15th-order Runge-Kutta method in solving mathematical models in the case of social media addiction. The method used in this research uses experimental research and data collection is done by systematically observing and recording the research indicators. The research was conducted by observing the error, number of iterations, running time, and graphs. In this study, adolescents aged 15-18 years were divided into three compartment states which were modeled into mathematical equations. The results of this study indicate that the 15th order Runge-Kutta method is more effective for solving mathematical models on social media addiction compared to Ordinary Differential Equation (ODE).
Aplikasi Uji Wilcoxon Signed Rank untuk Menganalisis Pengaruh COVID-19 pada Prestasi Belajar Ngizatul Afifah; Susi Setiawani; Rafiantika Megahnia Prihandini; Arin Berliana Angrenani; Inge Wiliandani Setya Putri; Abdurrahman Salim
Jurnal Axioma : Jurnal Matematika dan Pembelajaran Vol. 10 No. 2 (2025): Juli
Publisher : Universitas Islam Jember

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.56013/axi.v10i2.3668

Abstract

Education in Indonesia faced significant challenges during the COVID-19 pandemic, particularly with the transition from face-to-face to online learning. Many obstacles occur in this online learning system which may affect student achievement. This research aims to analyze the effect of the COVID-19 pandemic on student achievement which is reviewed statistically descriptively and inferentially. This research was conducted at SMK Ma'arif 9 Kebumen with a sample of one class X. The research method used was using a quantitative approach, namely the Wilcoxon Signed Rank Test. The analysis results show that based on a 95% confidence level, there is a significant difference between the average learning achievement of students before the pandemic and after the COVID-19 pandemic occurred, with a decrease in the average student scores of 2.98% from the average student scores before the COVID-19 pandemic. Keywords: Wilcoxon Signed Rank Test, COVID-19's Impact, Learning Achievement