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All Journal Journal of the Indonesian Mathematical Society Science and Technology Indonesia Jurnal Pengabdian Magister Pendidikan IPA EIGEN MATHEMATICS JOURNAL Square : Journal of Mathematics and Mathematics Education Jurnal Ilmiah Abdi Mas TPB Unram Jurnal Pariwisata Nusantara Jurnal Pendidikan dan Pengabdian Masyarakat Sinergi dan Harmoni Masyarakat MIPA
Mamika Ujianita Romdhini, Mamika Ujianita
Universitas Mataram
Humanities Biochemistry, Genetics & Molecular Biology Chemical Engineering, Chemistry & Bioengineering Economics, Econometrics & Finance Education Engineering Environmental Science Materials Science & Nanotechnology Mathematics Physics Social Sciences Other

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WORKSHOP ISU-ISU STRATEGIS DALAM ALJABAR UNTUK PEMINAT ALJABAR DI KOTA MATARAM Irwansyah, Irwansyah; Romdhini, Mamika Ujianita; Wardhana, I Gede Adhitya Wisnu; Switrayni, Ni Wayan
Jurnal Ilmiah Abdi Mas TPB Unram Vol 1, No 1 (2019): Volume 1 Nomor 1 Januari 2019
Publisher : Teknik Pertanian Universitas Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29303/amtpb.v1i1.7

Abstract

Matematika merupakan salah satu ilmu yang sangat penting dalam perkembangan peradaban kehidupan manusia. Khususnya aljabar yang merupakan salah satu bidang dalam matematika merupakan tonggak utama dalam perkembangan bidang-bidang ilmu lainnya. Akan tetapi, jumlah hasil-hasil tulisan ilmiah pada bidang ini sangatlah sedikit jumlahnya, khususnya dari kampus-kampus yang ada di Kota Mataram. Hal ini disebabkan karena kurangnya pengetahuan tentang perkembangan penelitian di bidang aljabar dan aplikasinya. Oleh karena itu, kegiatan ini bertujuan untuk meningkatkan motivasi, minat dan pengetahuan khususnya peminat aljabar di Kota Mataram untuk melakukan penelitian dalam bidang aljabar dan aplikasinya. Metode pendekatan yang akan diterapkan adalah melalui workshop yang berisi isu-isu dalam aljabar yang sedang hangat dibicarakan dan beberapa aplikasinya.
Indeks Topologi Padmakar Ivan dan Szeged pada Graf Koprima Prima dari Grup Bilangan Bulat Modulo Abdurahim, Abdurahim; Pratiwi, Lia Fitta; Karang, Gusti Yogananda; Wardhana, I Gede Adhiya Wisnu; Irwansyah, Irwansyah; Awanis, Zatta Yumni; Romdhini, Mamika Ujianita
Square : Journal of Mathematics and Mathematics Education Vol. 6 No. 2 (2024)
Publisher : UIN Walisongo Semarang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.21580/square.2024.6.2.22836

Abstract

The Prime Coprime Graph is defined as a graph in which two distinct vertices are adjacent if and only if the greatest common divisor of their orders is 1, indicating that they are coprime. This research focuses on deriving general formulas for the Padmakar-Ivan index and the Szeged index for the coprime prime graph of the modulo integer group with n=p^k, where p is a prime number and k is not less than 2. As a result of this study, explicit formulas for the Padmakar-Ivan and Szeged indices were obtained, along with an analysis of the relationship between these two indices.Keywords: prime coprime graph, Padmakar-Ivan index, Szeged index.
EDUKASI KIMIA DAN MATEMATIKA UNTUK MASYARAKAT PESISIR SEBAGAI LANGKAH AWAL DALAM MENGATASI PENCEMARAN LINGKUNGAN Kamali, Siti Raudhatul; Hermanto, Dhony; Romdhini, Mamika Ujianita; Hamdiani, Saprini; Ismillayli, Nurul; Kurniawati, Lely; Wirahadi, Ahmad; Mariana, Baiq
Jurnal Pendidikan dan Pengabdian Masyarakat Vol. 6 No. 4 (2023): November
Publisher : FKIP Universitas Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29303/jppm.v6i4.5992

Abstract

Pencemaran limbah di kawasan pesisir adalah tantangan serius yang memerlukan pemahaman mendalam tentang sumber pencemaran, dampaknya, dan solusi yang berkelanjutan. Kegiatan pengabdian ini bertujuan untuk mengatasi masalah ini melalui penerapan pendekatan berbasis kimia dan matematika sebagai media edukasi yang lebih efektif kepada masyarakat pesisir, khususnya masyarakat Pantai Gading yang menjadi mitra kegiatan pengabdian. Pada tahap persiapan, survey lingkungan dilakukan untuk mengidentifikasi sumber-sumber utama pencemaran limbah di wilayah tersebut dan mengetahui pemahaman awal masyarakat tentang pencemaran limbah. Hasil survey ini menjadi dasar untuk merancang program edukasi yang sesuai. Selanjutnya, program edukasi kimia dan matematika dikembangkan dan disampaikan kepada masyarakat pesisir menggunakan metode Focus Group Discussion (FGD) yang melibatkan 18 orang peserta. Hasil dari kegiatan menunjukkan perubahan signifikan dalam pemahaman masyarakat tentang penerapan edukasi kimia dan matematika dalam mengatasi pencemaran limbah serta peningkatan kesadaran mereka dalam mengambil tindakan yang konkret.
Relation Between the First Zagreb and Greatest Common Divisor Degree Energies of Commuting Graph for Dihedral Groups Romdhini, Mamika Ujianita; Nawawi, Athirah
Science and Technology Indonesia Vol. 10 No. 1 (2025): January
Publisher : Research Center of Inorganic Materials and Coordination Complexes, FMIPA Universitas Sriwijaya

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.26554/sti.2025.10.1.1-8

Abstract

The commuting graph for a finite group G, ΓG, has a set of vertices G \ Z(G), where Z(G) is the center of G, and vp,vq ∈ G \ Z(G) in which vp ≠ vq , are adjacent whenever vpvq = vqvp. The entries of the first Zagreb matrix (Z1) of ΓG are either the summation of the degrees of two adjacent vertices, or zero for non-adjacent vertices and also for the diagonal entries. Meanwhile, the entries of the greatest common divisor degree matrix (GCDD) of ΓG are the greatest common divisor of the degrees of two adjacent vertices and zero otherwise. The Z1-energy is determined by the sum of absolute eigenvalues of the corresponding Z1-matrix, whereas GCDD-energy is the sum of absolute eigenvalues of the GCDD-matrix. In this study, we find the spectral radius and the energies of ΓG for dihedral groups of order 2n, D2n, associated with Z1- and GCDD-matrices. It is found that Z1-energy is equal to twice GCDD-energy, whereas GCDD-energy is similar to maximum and minimum degree energies that were reported earlier in previous literature.
On Energy of Prime Ideal Graph of A Commutative Ring Associated with Seidel-Based Matrices Romdhini, Mamika Ujianita
Journal of the Indonesian Mathematical Society Vol. 31 No. 1 (2025): MARCH
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.v31i1.1713

Abstract

Some energies of the prime ideal graph are found for a commutative ring associated with Seidel-based matrices including Seidel, Seidel Laplacian, and Seidel signless Laplacian matrices.
Pemanfaatan Limbah Bulu Ayam Dalam Mewujudkan Wirausaha Mandiri Di Desa Nyiur Tebel Lombok Timur Rahman, Muhammad Rizki; Ghina Briliana Fatin Octariana; Davina Puspa Ningrum; Dira Agnita Putri Widodo; Dwi Yan Resilia; Lena Yuliastini; Nurkurnia Sari; Rizki Faturrahman; Raden Mohammad Akbar Rafi; Rossy Jamalul Hoir; Romdhini, Mamika Ujianita
Jurnal Pengabdian Magister Pendidikan IPA Vol 8 No 1 (2025): Januari-Maret 2025
Publisher : Universitas Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29303/jpmpi.v8i1.10523

Abstract

The purpose of this community service program is to find a new way to convert chicken feather waste into environmentally friendly and valuable animal feed. As an alternative to animal feed, chicken feather waste contains high protein. In this activity, the community is educated on how to process chicken feathers to support the sustainability of livestock farming and reduce environmental pollution. This program involves local farmers, small business groups, and academics. The results of the community service show that animal feed products made from chicken feather waste can increase feed efficiency, reduce production costs, and provide the community with new business opportunities. As a result, this project is expected to help improve community welfare in a sustainable manner and become a model for the application of appropriate technology in managing chicken feather waste.
Membangun Antusiasme Belajar Matematika dan Sains Siswa SDN 1 Senaru Melalui Program Pendampingan Edukatif Romdhini, Mamika Ujianita; Saprini Hamdiani; Siti Raudhatul Kamali; Dhony Hermanto; Nurul Ismillayli; Marliadi Susanto
Jurnal Pengabdian Magister Pendidikan IPA Vol 8 No 2 (2025): April-Juni 2025
Publisher : Universitas Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29303/jpmpi.v8i2.11287

Abstract

Kegiatan pendampingan belajar ini dilaksanakan di SDN 1 Senaru sebagai bentuk kontribusi nyata dalam meningkatkan minat dan motivasi siswa terhadap mata pelajaran Matematika dan Sains. Berdasarkan observasi awal, sebagian besar siswa mengalami kesulitan dalam memahami konsep dasar kedua topik tersebut serta menunjukkan minat belajar yang rendah. Oleh karena itu, kegiatan ini bertujuan untuk memberikan pengalaman belajar yang menyenangkan, interaktif, dan aplikatif melalui metode eksperimen yang sederhana, permainan edukatif, serta pendekatan kontekstual yang sesuai dengan tingkat perkembangan siswa sekolah dasar. Hasil kegiatan menunjukkan adanya peningkatan antusiasme dan partisipasi aktif siswa selama proses pendampingan berlangsung. Evaluasi dilakukan melalui observasi, kuisioner sederhana, dan refleksi kegiatan. Program ini diharapkan dapat menjadi model pembelajaran alternatif yang mampu menumbuhkan semangat belajar Matematika dan Sains sejak dini.
Transmission-Based Energies of Prime Coprime Graph for Integers Modulo Group Romdhini, Mamika Ujianita; Abdurahim; Maharani, Andika Ellena Saufika Hakim; Kamali, Siti Raudhatul
Science and Technology Indonesia Vol. 10 No. 3 (2025): July
Publisher : Research Center of Inorganic Materials and Coordination Complexes, FMIPA Universitas Sriwijaya

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.26554/sti.2025.10.3.759-765

Abstract

Graphs are an excellent instrument that provides an algebraic structure for visualizing and interpreting molecule structures and characteristics. As a result, the problem statement arises regarding how we can interpret graphs with eigenvalues concerning their corresponding matrices. Such questions can be answered by studying spectral graph theory. This research focuses on graphs whose vertex sets are group elements in which the structure of ℤn groups and the definition of a prime coprime graph serve as the foundation for the graph building used in this study. The matrix construction of the graph is based on transmission-based matrices including Weiner-Hosoya and distance signless Laplacian matrices. Research methods include investigating the transmission properties and formulation of the characteristic equation using block matrices. The results obtained are a comprehensive analysis of eigenvalues, spectrum, and spectral radius leading to the prime coprime graph energy for ℤn groups corresponding to both matrices.
Comparative Analysis of Bellman-Ford and Dijkstra Algorithms to Determine the Shortest Tourist Path in Central Lombok Wardhani, Krissinta Bulan; Karang, Gusti Yoga Nanda; Fajria, Septi; Al Paqih, Muhammad Imam; Hardi, Rida Akausar; Nugroho, M. Setyo; Romdhini, Mamika ujianita
Jurnal Pariwisata Nusantara (JUWITA) Vol. 4 No. 1 (2025): Jurnal Pariwisata Nusantara (JUWITA)
Publisher : PROGRAM STUDI PARIWISATA SYARAH, FAKULTAS EKONOMI DAN BISNIS ISLAM, UNIVERSITAS ISLAM NEGERI MATARAM

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20414/juwita.v4i1.13155

Abstract

Purpose: Central Lombok Regency has many tourist attractions spread out, which often makes it difficult for tourists to determine the best travel route to visit several locations at once. Choosing the shortest route is an important factor because it can save time, energy, and fuel costs, especially in tourist trips with unstructured schedules. Therefore, an effective method is needed to determine the shortest route to improve the efficiency of tourist trips. This study analyzes the shortest route to tourist attractions in Central Lombok Regency using two popular graph algorithms, including Dijkstra Algorithm and Bellman-Ford Algorithms Method: In this study, the data used are 6 tourist attractions in Central Lombok Regency. Tourist attractions are represented by points on the graph. Then the edge represents the road connecting the tourist attractions and the weight represents the distance to each tourist attraction from a starting point. Then to determine the minimum shortest distance of each tourist attraction based on the graph, Dijkstra and Bellman-Ford algorithms are used. Result: The shortest path to tourist attractions in Central Lombok Regency is obtained based on the Dijkstra and Bellman-Ford Algorithms. Contribution: Through this analysis, the advantages and disadvantages of the two algorithms in the context of determining tourist routes in Central Lombok can be identified.
Implementasi Algoritma IDA* (Iterative Deepening A*) Dalam Menentukan Solusi Terbaik Pada Permainan Othello Dengan Simulasi MATLAB Hidayatullah, Halilintar Nur; Romdhini, Mamika Ujianita; Irwansyah, Irwansyah
Eigen Mathematics Journal Vol 1 No 1: Vol 1 No 1 Juni 2018
Publisher : University of Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (318.203 KB) | DOI: 10.29303/emj.v1i1.1

Abstract

Permainan  Othello  adalah  permainan  logika  asal  jepang.  Permainan  ini dimainkan oleh dua orang pada papan persegi dengan bidak hitam dan bidak putih. Dibutuhkan strategi yang jitu untuk meraih kemenangan, sehingga pada penelitian ini memiliki 2 tujuan, pertama untuk menganalisis langkah-langkah yang akan ditentukan menggunakan algoritma IDA* (Iterative Deepening A*) yang dinotasikan sebagai ?(?) = ?(?) + ℎ(?) dengan ?(?) adalah jumlah langkah dari simpul  awal  menuju  simpul  n  dengan  m  jumlah  simpul,  dan  ℎ(?)  adalah  jarak perkiraan  dari  simpul  n  menuju  simpul  tujuan.  Kedua  didapatkan  hasil  simulasi berdasarkan pemrograman MATLAB.Pada program simulasi ini digunakan matriks ukuran 6 × 6 dengan simbol 1, 2,  dan  0  yang  masing-masing  merepresentasikan  bidak  hitam,  bidak  putih,  dan kotak  yang masih kosong.  Dengan salah satu solusi  yang didapat pada program adalah hitam (9), putih (20), hitam (26), putih (10), hitam (11), putih (17), hitam (23),  putih (27), hitam (8), putih (6), hitam (12), putih (14), hitam (33), putih (28), hitam (29), putih (31), hitam (25), putih (30), hitam (7), putih (2), hitam (18), putih (13), hitam (19), putih (36), hitam (35), putih (1), hitam (3), putih (34), hitam (32), putih (4), hitam (5), putih (24). Dengan bobot  -min pada tiap iterasi 14, 15, 16, 17, 20, 15, 16, 18, 15, 16, 18, 17, 13, 14, 15, 16.
Co-Authors Abdurahim, Abdurahim Al Paqih, Muhammad Imam Al-Quran, Ashraf Al-Sharqi, Faisal Awanis, Zatta Yumni Davina Puspa Ningrum Dhony Hermanto Dira Agnita Putri Widodo Dwi Yan Resilia ERNIN HIDAYATI Fajria, Septi Farwan, Farwan Ghina Briliana Fatin Octariana Graha, Syifa Salsabila Satya Hardi, Rida Akausar Hidayatullah, Halilintar Nur I Gede Adhitya Wisnu Wardhana Irwansyah Irwansyah Ito, Michiho Julisaniah, Nur Indah Karang, Gusti Yoga Nanda Karang, Gusti Yogananda Kurniasih Sukenti Lely Kurniawati Lena Yuliastini Maharani, Andika Ellena Saufika Hakim Mariana, Baiq Marliadi Susanto Maulana, Fariz Muhammad Taufan Nawawi, Athirah Ni Wayan Switrayni Nugroho, M. Setyo Nurkurnia Sari Nurul Ismillayli Pradana, Satriawan Pratama, Rendi Bahtiar Pratiwi, Lia Fitta Putra, Lalu Riski Wirendra Putri, Syaftirridho Raden Mohammad Akbar Rafi Rahman, Muhammad Rizki Rio Satriyantara Rizki Faturrahman Rossy Jamalul Hoir Saprini Hamdiani Siboro, Ayes Malona Siti Raudhatul Kamali Sugiarto, Kurniawan Sunarwidhi , Anggit Listyacahyani Tri Mulyaningsih Wahidah, Fathul Maulina Wardhana, I Gede Adhiya Wisnu Wardhani, Krissinta Bulan Wirahadi, Ahmad Yanagisawa, Masayuki Yumi, Fujiwara Zata Yumni Awanis