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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 SPEKTA (Jurnal Pengabdian Kepada Masyarakat : Teknologi dan Aplikasi) 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 Computer Science & IT Control & Systems Engineering Decision Sciences, Operations Research & Management Earth & Planetary Sciences Economics, Econometrics & Finance Education Energy Engineering Environmental Science Industrial & Manufacturing Engineering Materials Science & Nanotechnology Mathematics Physics Social Sciences Other

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Analisis Keberhinggaan Matriks Representasi atas Grup Berhingga Taufan, Muhammad; Romdhini, Mamika Ujianita; Switrayni, Ni Wayan
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 (364.442 KB) | DOI: 10.29303/emj.v1i1.10

Abstract

Representation of a finite group G over generator linear non singular mxm matrix with entries of field K defined by group homomorphismA : G → GLm(K)Basically, the non singular mxm matrix A(x) which representing the finite group G divided into two, that are the unitary matrix and non unitary matrix . If A(x) is a non unitary matrix, then there exist a unitary matrix which similar to A(x). This research deals to analyze the numbers of one example of a unitary matrix representation over arbitrary finite group G with order n that is permutation matrix, and the number of unitary matrix which is similar to real non unitary matrix representation of arbitrary finite group G order 2. The results showed the numbers of permutation matrix representation is n! and unitary matrix which is similar to non unitary matrix representation is 2.
Analisis Automorfisma Graf Pembagi-nol dari Ring Komutatif dengan Elemen Satuan Sugiarto, Kurniawan; Romdhini, Mamika Ujianita; Switrayni, Ni Wayan
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 (332.712 KB) | DOI: 10.29303/emj.v1i1.11

Abstract

Zero-divisor graphs of a commutative ring with identity has 3 specific simple forms, namely star zero-divisor graph, complete zero-divisor graph and complete bipartite zero-divisor graph. Graph automorphism is one of the interesting concepts in graph theory. Automorphism of  graph G is an isomorphism from graph G to itself. In other words, an automorphism of a graph G is a permutation φ of  the set points V(G) which has the property that (x,y) in E(G)  if and only if (φ(x),φ(y)) in E(G), i.e. φ preserves adjacency.This study aims to analyze the form of zero-divisor graph automorphisms of a commutative ring with identity formed. The method used in this study was taking sampel of each zero-divisor graph to represent each graph. Thus, pattern and shape of automorphism of each graph can be determined. Based on the results of this study, a star zero-divisor graph with pattern K_1,(p-1), where p is prime, has (p-1)! automorphisms, a complete zero-divisor graph with pattern K_(p-1), where p is prime, has (p-1)!  automorphisms, and a complete bipartite zero-divisor graph with pattern K_(p-1),(q-1), where p is prime, has (p-1)!(q-1)! automorphisms, when p not equals to q  and 2((p-1)!(q-1)!) automorphisms  when p=q.
Bimbingan Teknis Penggunaan Artificial Intelligence (AI) dalam Membuat Manuskrip Artikel Ilmiah di Fakultas MIPA Universitas Mataram Romdhini, Mamika Ujianita; Hermanto, Dhony; Hamdiani, Saprini; Kamali, Siti Raudhatul; Ismillayli, Nurul
Jurnal Pengabdian Magister Pendidikan IPA Vol 7 No 1 (2024): Januari - Maret
Publisher : Universitas Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29303/jpmpi.v6i4.6412

Abstract

Salah satu indikator kinerja dosen adalah publikasi artikel ilmiah dalam jurnal bereputasi internasional yang harus diiringi dengan kemampuan dosen untuk membuat manuskrip artikel ilmiah yang berkualitas. Di sisi lain, kemajuan teknologi yang cepat membawa banyak perubahan dan memerlukan terobosan-terobosan teknis. Kecerdasan buatan atau artificial intelligence (AI) adalah salah satu kemajuan teknis yang memiliki potensi besar dalam mendukung kinerja dosen. Pengabdian ini bertujuan untuk meningkatkan kemampuan dosen-dosen Fakultas MIPA Universitas Mataram dalam menggunakan AI dalam membuat manuskip artikel ilmiah. Bimbingan teknis yang dilakukan menggunakan pendekatan praktis dan konseptual dengan metode Focus Group Discussion (FGD). Lokasi pengabdian yang dipilih adalah di Fakultas Matematika dan Ilmu Pengetahuan Alam. Tim Pengabdian kepada Masyarakat telah melakukan bimbingan teknis ini kepada dosen-dosen hingga tersusunnya manuskrip artkel ilmiah yang siap dipublikasikan dalam jurnal internasional bereputasi. Di masa mendatang, kegiatan ini diharapkan dapat diselenggarakan di tingkat program studi.
Keunggulan Berkelanjutan Pemasaran Gaharu Melalui Sinergi Riset dan Edukasi Kerjasama Universitas Mataram dan CSEAS Kyoto University Jepang Romdhini, Mamika Ujianita; Mulyaningsih, Tri; Ito, Michiho; Yanagisawa, Masayuki; Yumi, Fujiwara; Sukenti, Kurniasih; Sunarwidhi , Anggit Listyacahyani; Hidayati, Ernin; Julisaniah, Nur Indah
Jurnal Pengabdian Magister Pendidikan IPA Vol 7 No 2 (2024): April-Juni
Publisher : Universitas Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29303/jpmpi.v7i2.7454

Abstract

Harga pasar gaharu yang tinggi sangat berpengaruh pada pemasaran gaharu. Perdagangan ini secara bertahap menimbulkan ancaman terhadap populasi gaharu di alam liar. Diperlukan identifikasi spesies, klasifikasi, dan penelitian yang akurat untuk memastikan budidaya dan perdagangan gaharu yang berkelanjutan. Pengabdian ini bertujuan untuk mengedukasi para pelaku industri gaharu di Pulau Lombok mengenai status terkini populasi spesies penghasil gaharu liar, termasuk dinamika perdagangan gaharu global secara keseluruhan. Edukasi yang dilakukan menggunakan pendekatan praktis dan konseptual dengan metode Focus Group Discussion (FGD) kerjasama FMIPA Universitas Mataram dan CSEAS Kyoto University, Jepang. Lokasi pengabdian yang dipilih adalah di Desa Orong, Desa Pusuk, dan Ampenan. Tim Pengabdian kepada Masyarakat telah melakukan edukasi agar khalayak sasaran memiliki peningkatan pengetahuan standarisasi kualitas gubal gaharu dalam rangka menjaga keberlanjutan pemasaran gaharu ke pasar internasional, serta usaha-usaha menjaga kelestarian pohon gaharu di Pulau Lombok
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.
Implementasi Modul Olimpiade SMP Di SMPN 2 Kuripan Lombok Barat Putra, Lalu Riski Wirendra; Pratama, Rendi Bahtiar; Karang, Gusti Yogananda; Irwansyah, Irwansyah; Wardhana, I Gede Adhitya Wisnu; Romdhini, Mamika Ujianita; Abdurahim, Abdurahim; Maulana, Fariz; Satriyantara, Rio; Awanis, Zata Yumni; Putri, Syaftirridho; Graha, Syifa Salsabila Satya; Wahidah, Fathul Maulina; Pratiwi, Lia Fitta; Pradana, Satriawan; Siboro, Ayes Malona; Farwan, Farwan
Sinergi dan Harmoni Masyarakat MIPA Vol. 1 No. 1 (2024): Oktober
Publisher : Fakultas Matematika dan Ilmu Pengetahuan Alam

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29303/sinonim.v1i1.5517

Abstract

Kegiatan pengabdian kepada masyarakat ini bertujuan untuk mengimpelementasikan modul pembelajaran olimpiade matematika bagi siswa SMPN 2 Kuripan. Kebutuhan akan modul ini didasarkan pada rendahnya akses siswa terhadap materi-materi persiapan olimpiade yang terstruktur dan sesuai dengan kemampuan serta kebutuhan mereka. Metode yang digunakan dalam pengembangan modul ini meliputi analisis kebutuhan, desain dan pengembangan modul, serta uji coba. Modul ini dirancang untuk mencakup berbagai topik matematika yang sering muncul dalam olimpiade, disertai dengan contoh soal dan pembahasan yang mendalam. Hasil dari kegiatan ini menunjukkan bahwa penggunaan modul olimpiade matematika ini dapat meningkatkan pemahaman siswa terhadap materi olimpiade, serta memotivasi mereka untuk lebih aktif dalam mengikuti kompetisi. Evaluasi melalui uji coba menunjukkan respon positif dari siswa, dengan peningkatan signifikan pada hasil latihan soal.
On Spectrum and Energy of Non-Commuting Graph for Group U_{6n} Romdhini, Mamika Ujianita; Nawawi, Athirah; Al-Sharqi, Faisal; Al-Quran, Ashraf
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.v31i4.1928

Abstract

Let $G$ be a group and $Z(G)$ be the center of $G$. In this paper, we discuss a specific type of graph known as the non-commuting graph, denoted by $\Gamma_G$, whose vertex set contains all group elements excluding central elements, $G\backslash Z(G)$. This graph has to satisfy a condition in which $v_p,v_q \in G\backslash Z(G)$ where $v_p \neq v_q$, are adjacent whenever $v_p v_q\neq v_q v_p$. This paper presents the spectrum and energy of the non-commuting graph for $U_{6n}$, $\Gamma_{U_{6n}}$ associated with the adjacency, degree sum, and degree sum adjacency matrices and their energy relationship.
Delta Degree-Based Indices of Prime Coprime Graph for Integers Modulo Group Abdurahim; Romdhini, Mamika Ujianita; Qudsi, Jihadil; Al-Sharqi, Faisal; Rodzi, Zahari Md.
Science and Technology Indonesia Vol. 11 No. 1 (2026): 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.2026.11.1.10-18

Abstract

Research on prime coprime graphs of finite groups has largely focused on structural properties, spectra, and classical topological indices, with limited attention given to delta degree-based indices. To address this gap, this study investigates delta degree-based topological indices of the prime coprime graph constructed on the group of integers modulo n, Zn. In this graph, the vertices correspond to the elements of Zn, and two distinct vertices are adjacent if and only if the greatest common divisor of their orders is either 1 or a prime number. In the present work, the focus lies on computing and analyzing several delta degree-based topological indices that are obtained by incorporating the concept of delta degree into classical topological indices, including the delta first Zagreb index, the delta second Zagreb index, the delta hyper Zagreb index, and the delta forgotten index. The methodology involves deriving formulas for these delta-based indices for various values of n, supported by systematic computations and data tabulation. Beyond purely algebraic computation, statistical tools are employed to investigate the relationships between different indices. In particular, a comparative distribution analysis is conducted to determine whether pairs of indices exhibit similar patterns of variability using the Levene test.
Revitalization of Agarwood Planting in Forest Areas with the Specific Purpose of Senaru as an Income-Generating Investment for University of Mataram and Cultivators Romdhini, Mamika Ujianita; Mulyaningsih, Tri; Muktasam, Muktasam; Baldovini, Nicolas; Takamatsu, Sakura; Nadia, Ahsanu; Puspita Dewi, Chandra
SPEKTA (Jurnal Pengabdian Kepada Masyarakat : Teknologi dan Aplikasi) Vol. 6 No. 2 (2025)
Publisher : Universitas Ahmad Dahlan

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.12928/spekta.v6i2.14086

Abstract

Background: Agarwood, valued for its aromatic fragrance, thrives in West Nusa Tenggara, where demand is very high. However, natural forest sources are scarce, driving up market prices and limiting supply. To address this, farmers have begun cultivating agarwood trees. Community service initiatives are urgent, as they offer economic, environmental, and social benefits. Contribution: This study introduces a community-based revitalization program for agarwood cultivation in the KHDTK (Forest Area with Specific Purpose) of Senaru. By integrating applied biotechnology with participatory forest management, the program provides empirical evidence of how agarwood planting can simultaneously improve rural livelihoods, support environmental rehabilitation, and contribute to broader debates in sustainable forestry and applied technology. Method: The methods include site assessment and sustainable land preparation, and staggered planting. A total of 2070 high-quality agarwood seedlings are distributed to local farmers, who received training in cultivation, maintenance, and resin production techniques. Monitoring was conducted over 6 months to evaluate survival, growth, and socio-economic outcomes. Results: After 6 months, 90% of seedlings survived, and carbon sequestration potential was estimated at 3.31 tons CO₂ per year. These findings indicate that agarwood revitalization can deliver measurable ecological and economic benefits. Conclusion: With proper implementation and support, this project can serve as a model for other regions seeking to balance ecological preservation with socio-economic growth.
Relation Between Randic and Harmonic Energies of Commuting Graph for Dihedral Groups Romdhini, Mamika Ujianita; Nawawi, Athirah
Science and Technology Indonesia Vol. 11 No. 2 (2026): April
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.2026.11.2.481-488

Abstract

Consider a finite group G with center Z(G). This work examines the commuting graph $\Gamma_G$, a graph constructed from a group $G$ whose vertices correspond precisely to the noncentral elements of the group, that is, all elements in $G$ except those belonging to its center $Z(G)$. The graph is defined on the vertex set $G\backslash Z(G)$, where two distinct vertices vp and vq are joined by an edge precisely when they commute, that is, whenever vp vq=vq vp. The number of vertices adjacent to vp is denoted as dvp, which is the degree of vp. The Randic and harmonic matrices of $\Gamma_G$ are defined as square matrices in which $(p,q)-$th entry are $\frac{1}{\sqrt{d_{v_p} \cdot d_{v_q}} }$ and $\frac{2}{d_{v_p}+d_{v_q} }$ if $v_p$ and $v_q$ are adjacents, respectively; otherwise, it is zero. Randic energy is the sum of the absolute eigenvalues of the Randic matrix whereas harmonic energy is the sum of the absolute eigenvalues of the harmonic matrix. In this paper, we compare the Randic and harmonic energies of the commuting graph for non-abelian dihedral group of order 2n, D2n.
Co-Authors Abdurahim, Abdurahim Al Paqih, Muhammad Imam Al-Quran, Ashraf Al-Sharqi, Faisal Awanis, Zatta Yumni Baldovini, Nicolas 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 Muktasam Nadia, Ahsanu Nawawi, Athirah Ni Wayan Switrayni Nugroho, M. Setyo Nurkurnia Sari Nurul Ismillayli Pradana, Satriawan Pratama, Rendi Bahtiar Pratiwi, Lia Fitta Puspita Dewi, Chandra Putra, Lalu Riski Wirendra Putri, Syaftirridho Qudsi, Jihadil Raden Mohammad Akbar Rafi Rahman, Muhammad Rizki Rio Satriyantara Rizki Faturrahman Rodzi, Zahari Md. Rossy Jamalul Hoir Saprini Hamdiani Siboro, Ayes Malona Siti Raudhatul Kamali Sugiarto, Kurniawan Sunarwidhi , Anggit Listyacahyani Takamatsu, Sakura Tri Mulyaningsih Wahidah, Fathul Maulina Wardhana, I Gede Adhiya Wisnu Wardhani, Krissinta Bulan Wirahadi, Ahmad Yanagisawa, Masayuki Yumi, Fujiwara Zata Yumni Awanis