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All Journal Kubik Jurnal KARISMATIKA JTAM (Jurnal Teori dan Aplikasi Matematika) Zero : Jurnal Sains, Matematika, dan Terapan Teorema: Teori dan Riset Matematika JURNAL MathEdu (Mathematic Education Journal) Sainmatika: Jurnal Ilmiah Matematika dan Ilmu Pengetahuan Alam Jambura Journal of Mathematics TRIDARMA: Pengabdian Kepada Masyarakat (PkM) Abdimas: Jurnal Pengabdian Masyarakat Universitas Merdeka Malang KUBIK: Jurnal Publikasi Ilmiah Matematika Jurnal Interaktif: Warta Pengabdian Pendidikan (JIWPP) MATHunesa: Jurnal Ilmiah Matematika Journal of Artificial Intelligence and Engineering Applications (JAIEA) Jurnal Ilmiah Teknik Informatika dan Komunikasi Innovative: Journal Of Social Science Research Amal Ilmiah: Jurnal Pengabdian Kepada Masyarakat
Dinda Kartika
Universitas Negeri Medan
Agriculture, Biological Sciences & Forestry Arts Humanities Automotive Engineering Chemistry Computer Science & IT Control & Systems Engineering Economics, Econometrics & Finance Education Electrical & Electronics Engineering Languange, Linguistic, Communication & Media Law, Crime, Criminology & Criminal Justice Mathematics Physics Public Health Social Sciences Other

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Transformasi Seni Tradisional ke Era Digital: Penerapan Konsep Fraktal dalam Desain Batik Berbasis Website untuk Meningkatkan Kreativitas dan Inovasi Pasaribu, M.Arya; Nasution, Muhammad Ibrohim; Mardiana, Annisya; Cahaya, Puspa; Kartika, Dinda
Innovative: Journal Of Social Science Research Vol. 4 No. 6 (2024): Innovative: Journal Of Social Science Research
Publisher : Universitas Pahlawan Tuanku Tambusai

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31004/innovative.v4i6.17389

Abstract

Batik merupakan salah satu warisan budaya Indonesia yang telah diakui UNESCO sebagai Warisan Budaya Dunia. Keindahan motif batik sering kali mencerminkan harmoni seni dan filosofi mendalam. Penelitian ini mengintegrasikan seni tradisional batik dengan teknologi modern melalui penerapan konsep fraktal, cabang geometri yang mempelajari pola berulang dan kompleks. Tujuan penelitian ini adalah mengembangkan sebuah website interaktif berbasis fraktal yang memungkinkan pengguna mendesain motif batik secara mandiri. Dengan algoritma matematis, pola batik dapat dihasilkan secara otomatis dan variatif, membuka peluang untuk eksplorasi desain yang inovatif. Hasil penelitian berupa platform yang memadukan estetika seni batik dan kecanggihan teknologi digital. Meski memiliki keterbatasan dalam variasi pola, website ini memiliki potensi besar untuk dikembangkan lebih lanjut sebagai alat kreatif yang memudahkan akses terhadap seni tradisional di era modern.
The (Strong) Rainbow Connection Number of Join Of Ladder and Trivial Graph Kartika, Dinda; Febrian, Didi; Surbakti, Nurul Maulida
JTAM (Jurnal Teori dan Aplikasi Matematika) Vol 7, No 1 (2023): January
Publisher : Universitas Muhammadiyah Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31764/jtam.v7i1.11704

Abstract

Let G = (V,E) be a nontrivial, finite, and connected graph. A function c from E to {1,2,...,k},k ∈ N, can be considered as a rainbow k-coloring if every two vertices x and y in G has an x- y path. Therefore, no two path's edges receive the same color; this condition is called a “rainbow path”. The smallest positive integer k, designated by rc(G), is the G rainbow connection number. Thus, G has a rainbow k-coloring. Meanwhile, the c function is considered as a strong rainbow k-coloring within the condition for every two vertices x and y in G have an x - y rainbow path whose length is the distance between x and y. The smallest positive integer k, such as G, has a strong rainbow k-coloring; such a condition is called a strong rainbow connection number of G, denoted by src(G). In this research, the rainbow connection number and strong rainbow connection number are determined from the graph resulting from the join operation between the ladder graph and the trivial graph, denoted by rc(L_n∨K_1) and src(L_n∨K_1) respectively. So, rc (L_n∨K_1 )= src (L_n∨K_1 )=2,"for" 3≤n≤4 and rc (L_n∨K_1 )=3, while src(L_n∨K_1 )=⌈n/2⌉,"for" n≥5. 
Development of Malay Deli Songket Motifs Based on Symmetry Groups Mingka, Rizka Annisa; Kartika, Dinda; Suwanto, Fevi Rahmawati
JTAM (Jurnal Teori dan Aplikasi Matematika) Vol 7, No 1 (2023): January
Publisher : Universitas Muhammadiyah Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31764/jtam.v7i1.10279

Abstract

One of the tribes in North Sumatra Province that has a wide variety of art is the Deli Malays, especially the Songket motifs. Songket is a type of traditional Indonesian weaving that should be preserved to maintain Indonesia’s wealth. The motifs in the Malay Deli Songket can be analyzed because of its symmetrical pattern. In this study, the author developed the Malay Deli Songket motif based on the concept of the symmetry group. The motif development was carried out with the Matlab program based on the frieze group pattern and the crystallography group pattern. The Frieze pattern, often called the Frieze Group, is a symmetry group created from one-way translation, forming a linear pattern that repeats one way. The crystallography group has 17 crystallographic patterns formed by a specific transformation from each type of unit lattice. Through the development of motifs, 6 new Songket motifs were obtained based on the Frieze pattern in 11 observed Malay Deli Songket motifs, namely the Moon Orchid motif, the Orchid motif, the Balong Ayam motif, the Coffee Flowers motif, the Tobacco Leaves 1 and 2 motifs, the Corn motif, the Paddy motif, the Tampuk Manggis motif, the Tobacco motif, and the Ulam Raja motif. In 4 previously observed Malay Deli Songket motifs, 11 new Songket motifs were obtained for crystallography patterns: the Deli Tobacco Leaves motif, the Coffee motif, the Tampuk Gelugor motif, and the Undang Kupu-Kupu motif. 
Embedded TinyML for Predicting Soil Moisture Conditions in Rice Fields Using Weather Data Surbakti, Nurul Maulida; Kartika, Dinda; Amry, Zu; Ashari, Muhammad; Pahlawan, Riza
ZERO: Jurnal Sains, Matematika dan Terapan Vol 9, No 2 (2025): Zero: Jurnal Sains Matematika dan Terapan
Publisher : UIN Sumatera Utara

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30829/zero.v9i2.26551

Abstract

This study implements a lightweight TinyML model to classify soil moisture conditions and support irrigation decisions in rice cultivation, chosen over conventional cloud-based ML because it enables low-power, low-latency, fully offline inference on microcontrollers-critical for rural areas with limited connectivity. Trained on 3,021 localized microclimate records from Denai Lama Village (temperature, humidity, rainfall, cloud cover) using logistic regression for its simplicity and interpretability under resource constraints, the model was deployed on an ESP32 for real-time predictions into three classes (underwatered, optimal, overwatered). Experimental results show accuracy = 0.982 and weighted F1 = 0.982 on the validation set (ROC-AUC = 0.997), and on the held-out test set (N = 194) the model achieved 93.4% accuracy, 0.927 weighted F1 (precision 0.914; recall 0.942), and ROC-AUC = 0.988. These findings indicate that TinyML provides a practical, low-cost, and scalable edge-AI pathway for reliable, energy-efficient decision support in precision irrigation without network dependence, offering a deployable template for smallholder farming contexts.
Implementasi Algoritma Kriptografi RSA dalam Proses Enkripsi dan Dekripsi untuk Mengamankan Pesan Singkat pada Aplikasi Chatting Berbasis Web Surbakti, Nurul; Kartika, Dinda; Lestari, Alya Dwi; Puspita, Maysi; Pandiangan , Petra Putri Sarinah; Singarimbun, Riamonda; Suryani, Windi
Jurnal Ilmiah Teknik Informatika dan Komunikasi Vol. 5 No. 3 (2025): November: Jurnal Ilmiah Teknik Informatika dan Komunikasi 
Publisher : Lembaga Pengembangan Kinerja Dosen

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.55606/juitik.v5i3.1711

Abstract

The rapid development of information technology, especially in online communication, raises concerns about the security and privacy of transmitted messages. Cryptography serves as a primary alternative to protect information from unauthorized access. This study aims to implement the RSA (Rivest Shamir Adleman) cryptographic algorithm to secure short messages in a web-based chat application. The research method used was a mixed method, combining literature study and application development trials. The designed application uses the Flask framework for the backend, while HTML, CSS, and JavaScript are used for the user interface. The implementation results show that the RSA algorithm successfully converted plaintext messages (e.g., "Haii") into ciphertext (such as [7347,3641,4742,4742]) using a public key and accurately restored them to the original message using a private key, without any loss of information. This application offers an interactive and visual interface, making it easier for users to understand the RSA encryption and decryption process. Testing confirmed a consistency between manual calculations and the application's functions, proving that the system works stably and accurately. It is concluded that the RSA algorithm can be used effectively to protect short messages on web-based chat platforms, serving not only as a secure communication tool but also as an effective learning medium for asymmetric cryptography concepts. For future development, it is recommended to use larger prime numbers to enhance security, as well as to add features such as file sharing and group chats.
SIMULASI ASSIGNMENT PROBLEM UNTUK DISTRIBUSI TUGAS OPTIMAL MENGGUNAKAN ALGORITMA HUNGARIAN DAN PYTHON Khoiriyati Azmi; Dinda Kartika
MATHunesa: Jurnal Ilmiah Matematika Vol. 13 No. 3 (2025)
Publisher : Universitas Negeri Surabaya

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.26740/mathunesa.v13n3.p189-195

Abstract

Penelitian ini membahas ketidakseimbangan dalam pembagian tugas pengiriman dokumen di lingkungan pemerintahan dapat menimbulkan keterlambatan dan ketidakefisienan kerja. Penelitian ini bertujuan untuk mengoptimalkan pembagian tugas pengiriman dokumen secara adil dan efisien menggunakan algoritma Hungarian. Metode penelitian yang digunakan adalah pendekatan kuantitatif melalui simulasi assignment problem, di mana setiap kombinasi staf dan tugas dimodelkan dalam bentuk matriks beban kerja. Data dianalisis secara manual dan dengan implementasi Python untuk membandingkan hasil penugasan. Hasil penelitian menunjukkan bahwa pembagian tugas optimal menghasilkan total beban minimum sebesar 105 dokumen, dengan distribusi beban kerja yang merata untuk setiap staf. Implementasi algoritma Hungarian melalui Python menghasilkan hasil yang identik dengan perhitungan manual, namun dengan efisiensi waktu yang lebih baik. Temuan ini menunjukkan bahwa algoritma Hungarian efektif dan akurat dalam mengatasi permasalahan pembagian beban kerja di instansi pemerintahan, serta berpotensi untuk diotomatisasi dalam sistem informasi internal. Kata Kunci: assignment problem, algoritma Hungarian, Python.
Development of Batik Motifs using Symatrig Application to enhance productivity and competitiveness of SMEs Dinda Kartika; Debi Yandra Niska; Fevi Rahmawati Suwanto; Sisti Nadia Amalia; Nurhasanah Siregar; Anita Talia; Fikri Syahputra
Abdimas: Jurnal Pengabdian Masyarakat Universitas Merdeka Malang Vol. 10 No. 1 (2025): February 2025
Publisher : University of Merdeka Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.26905/abdimas.v10i1.14812

Abstract

The Village Development Index (IDM) of the North Padang Lawas Regency in 2023 remained underdeveloped. The status has been upheld since 2018, although many craft and tourism industries in North Padang Lawas Regency have the potential to contribute to the regional economy, one of which is batik small medium enterprises (SMEs). Batik SMEs in North Padang Lawas Regency are predicted to be the featured product of the regency. One of the batik SMEs, i.e., Batik Sekar Najogi, becomes the icon of North Padang Lawas Regency. However, limited knowledge and resources in developing varied batik motifs have made the batik SMEs in this regency unpopular, both provincial and national. The Abdimas Team and partners, i.e., the Department of Industry and Trade of North Padang Lawas Regency, hold training and coaching for the Symatrig computer application to develop batik motifs based on symmetrical patterns in mathematics. The application also has different motif development patterns to produce various batik motifs. Of 30 batik makers joining the training, 13 agree to utilize the Symatrig application in their businesses, while the others strongly agree. Batik makers also offer recommendations to continue conducting such activity to support those involved in the industry.
Pemberdayaan Pembatik Lokal melalui Pendampingan Desain Batik Digital Menggunakan Aplikasi Ambatig Kartika, Dinda; Niska, Debi Yandra; Misgiya, Misgiya; Nasution, Hamidah; Febrian, Didi; Habibi, Rizki; Saputra S, Kana; Atmojo, Wahyu Tri
Amal Ilmiah: Jurnal Pengabdian Kepada Masyarakat Vol. 7 No. 1 (2026): Edisi Maret 2026
Publisher : FKIP Universitas Halu Oleo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.36709/amalilmiah.v7i1.602

Abstract

Program pengabdian ini bertujuan meningkatkan kapasitas perajin batik melalui pendampingan desain batik digital menggunakan aplikasi Ambatig untuk mempercepat perancangan dan menata konsistensi pengulangan motif tanpa menghilangkan identitas Batak–Melayu. Kegiatan dilaksanakan selama empat minggu melalui sosialisasi, pelatihan, penerapan teknologi, dan pendampingan dengan pemanfaatan pengaturan pola frieze (satu arah) dan kristalografi (dua arah). Evaluasi melibatkan 15 peserta menggunakan angket skala Likert pada lima poin serta observasi terhadap durasi pradesain, jumlah varian desain, dan kesalahan sambungan pola. Hasil menunjukkan rerata kepuasan peserta di atas skor 4 dengan sekitar 80% respons positif, terutama pada aspek kesesuaian gaya visual (4,5) dan kemudahan dipelajari (4,3). Secara operasional, waktu pradesain berkurang dari sekitar 90 menit menjadi 40–50 menit per varian, peserta mampu menghasilkan 2–3 varian desain dalam 90 menit, dan kesalahan sambungan pola berkurang. Program ini juga menghasilkan portofolio desain digital berisi parameter siap produksi. Dengan demikian, pemanfaatan Ambatig efektif meningkatkan efisiensi dan kerapian perancangan motif batik serta mendukung pelestarian dan keberlanjutan motif Batak–Melayu melalui dokumentasi digital dan penguatan kapasitas perajin lokal.
Optimisasi Penempatan Sensor Automatic Weather Station di Perkebunan Kopi Menggunakan Pendekatan Metric Dimension Graf Join Surbakti, Nurul Maulida; Kartika, Dinda; Amry, Zul; Ashari, Muhammad
Teorema: Teori dan Riset Matematika Vol 11, No 1 (2026): Maret
Publisher : Universitas Galuh

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.25157/teorema.v11i1.20971

Abstract

Penelitian ini bertujuan untuk menganalisis metric dimension dari graf join sebagai model matematis untuk optimasi penempatan sensor pada sistem Automatic Weather Station (AWS) berbasis Internet of Things (IoT) di perkebunan kopi. Penelitian ini dilatarbelakangi oleh kebutuhan sistem pemantauan iklim mikro yang efisien, dengan jumlah sensor minimum namun tetap mampu memberikan informasi lingkungan secara akurat dan berkelanjutan. Metode yang digunakan meliputi analisis matematis berbasis konsep resolving set dalam teori graf untuk menentukan nilai metric dimension, simulasi komputasi menggunakan algoritma Breadth-First Search (BFS) berbasis Python untuk memverifikasi hasil teoretis, serta implementasi prototipe AWS untuk pengukuran parameter lingkungan. Hasil penelitian menunjukkan bahwa metric dimension graf  adalah   untuk setiap , yang merepresentasikan jumlah minimum sensor yang diperlukan untuk membedakan seluruh titik pemantauan secara unik. Hasil simulasi komputasi konsisten dengan analisis teoretis, sehingga mengonfirmasi validitas model yang diusulkan. Implementasi prototipe AWS di lapangan menunjukkan bahwa pendekatan ini mampu menghasilkan distribusi sensor yang efisien sekaligus menyediakan data iklim mikro yang akurat. Kontribusi utama penelitian ini adalah pengembangan model optimasi penempatan sensor berbasis metric dimension pada graf join  yang diintegrasikan dengan sistem AWS berbasis IoT. Secara praktis, temuan ini berimplikasi pada peningkatan efisiensi biaya, pengurangan konsumsi energi, serta peningkatan keandalan sistem pemantauan lingkungan. Pendekatan ini juga menyediakan kerangka yang skalabel untuk optimasi penempatan sensor pada berbagai aplikasi jaringan sensor dalam pertanian presisi dan pemantauan lingkungan.
AMBATIG: Android Application for Generating Batik Motifs Using Frieze Symmetry Group Transformations Dinda Kartika; Fevi Rahmawati Suwanto; Nurul Maulida Surbakti
ZERO: Jurnal Sains, Matematika dan Terapan Vol 9, No 3 (2025): Zero: Jurnal Sains Matematika dan Terapan
Publisher : UIN Sumatera Utara

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30829/zero.v9i3.26233

Abstract

Indonesian batik is known for its diverse motifs, yet many artisans still design patterns manually, which limits variation and innovation. This study develops Ambatig, an Android application that helps artisans create batik motifs more efficiently. The application was implemented in Android Studio and follows a waterfall development model. Ambatig transforms a user drawn base cell into structured repetitions by composing distance preserving transformations, namely translation, vertical reflection, horizontal reflection, half turn rotation of 180 degrees, and glide reflection. These operations are configured according to the seven frieze types introduced in the study. Functional black box testing confirmed stable performance with all scenarios passing. Compared with previous motif generation approaches, Ambatig introduces a parameterized on device frieze transformation pipeline that produces all seven symmetry families from a single base motif. Real time preview and export features support creative exploration while maintaining mathematical coherence in digital batik design.
Co-Authors Amry, Zu Amry, Zul Anita Talia Ashari, Muhammad Cahaya, Puspa Debi Yandra Niska Debora Agnes Jessica Nainggolan DIdi Febrian Fevi Rahmawati Suwanto Fevi Rahmawati Suwanto Fikri Syahputra Habibi, Rizki Hermawan Syahputra Ida Ayu Putu Sri Widnyani Insan Taufik Kana Saputra S Khoiriyati Azmi Lasker Pangarapan Sinaga Lestari, Alya Dwi Mardiana, Annisya Mingka, Rizka Annisa Misgiya, Misgiya Muhammad Ashari Naibaho, Debora Elssaday Nainggolan, Agnes Margareta Nasution, Hamidah . Nasution, Muhammad Ibrohim Niska, Debi Yandra Nurhasanah Siregar Nurul Ain Farhana Nurul Maulida Surbakti Pahlawan, Riza Pandiangan , Petra Putri Sarinah Pasaribu, M.Arya Puspita, Maysi Raja, Rinto Manik Sinaga, Marlina Singarimbun, Riamonda Sisti Nadia Amalia Sri Dewi Surbakti, Nurul Surbakti, Nurul Maulida Suryani, Windi Suwanto, Fevi Rahmawati Wahyu Tri Atmojo Zulfahmi Indra, Zulfahmi