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All Journal JURNAL MATEMATIKA STATISTIKA DAN KOMPUTASI CAUCHY: Jurnal Matematika Murni dan Aplikasi Journal of the Indonesian Mathematical Society Jurnal Matematika & Sains JMPM: Jurnal Matematika dan Pendidikan Matematika BAREKENG: Jurnal Ilmu Matematika dan Terapan Unisda Journal of Mathematics and Computer Science (UJMC) JTAM (Jurnal Teori dan Aplikasi Matematika) Beta: Jurnal Tadris Matematika EIGEN MATHEMATICS JOURNAL Jurnal Matematika UNAND Jurnal Abdi Insani Contemporary Mathematics and Applications (ConMathA) InPrime: Indonesian Journal Of Pure And Applied Mathematics JPIn : Jurnal Pendidik Indonesia Majalah Ilmiah Matematika dan Statistika (MIMS) Jurnal Ilmiah Abdi Mas TPB Unram Jurnal Diferensial Griya Journal of Mathematics Education and Application Evolusi: Journal of Mathematics and Natural Sciences Prosiding Konferensi Nasional PKM-CSR MATHunesa: Jurnal Ilmiah Matematika Journal of Fundamental Mathematics and Applications (JFMA) NUSANTARA: Jurnal Pengabdian Kepada Masyarakat Jurnal Pepadu Basis : Jurnal Ilmiah Matematika Jurnal Pengabdian Inovasi Masyarakat Indonesia Pemberdayaan Masyarakat: Jurnal Aksi Sosial Sinergi dan Harmoni Masyarakat MIPA E-Jurnal Matematika
I Gede Adhitya Wisnu Wardhana
Department Of Mathematics, Faculty Of Mathematics And Natural Science, University Of Mataram
Religion Agriculture, Biological Sciences & Forestry Humanities Biochemistry, Genetics & Molecular Biology Chemistry Civil Engineering, Building, Construction & Architecture Computer Science & IT Control & Systems Engineering Decision Sciences, Operations Research & Management Economics, Econometrics & Finance Education Energy Engineering Environmental Science Health Professions Languange, Linguistic, Communication & Media Law, Crime, Criminology & Criminal Justice Materials Science & Nanotechnology Mathematics Mechanical Engineering Nursing Physics Public Health Social Sciences Transportation Other

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ENERGY OF NON-COPRIME GRAPH ON MODULO GROUP Karang, Gusti Yogananda; Wisnu Wardhana, I Gede Adhitya; Angamuthu, Manimaran
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 19 No 4 (2025): BAREKENG: Journal of Mathematics and Its Application
Publisher : PATTIMURA UNIVERSITY

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30598/barekengvol19iss4pp2937-2952

Abstract

A graph is a mathematical structure consisting of a non-empty set of vertices and a set of edges connecting these vertices. In recent years, extensive research on graphs has been conducted, with one of the intriguing topics being the representation of graphs within algebraic structures, particularly groups. This approach bridges two areas of mathematics: graph theory and algebra. This study focuses on graph representation, specifically non-coprime graphs in the group of integers modulo ​, where , is a prime number, and is a non-negative integer. The non-coprime graph of a group is defined as a graph with the vertex set , where is the identity element of . Two distinct vertices and are connected by an edge if . Specifically, this research investigates the Sombor energy, the Degree Sum energy, the Degree Exponent Sum energy, the Laplacian energy, the Distance Laplacian energy, and the Distance Signless Laplacian energy of a non-coprime graph on a modulo group.
Super (a,d)-P_2⨀P_m-Antimagic Total Labeling of Corona Product of Two Paths Yatin, Bela Zainun; Awanis, Zata Yumni; Wardhana, I Gede Adhitya Wisnu
JTAM (Jurnal Teori dan Aplikasi Matematika) Vol 8, No 2 (2024): April
Publisher : Universitas Muhammadiyah Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31764/jtam.v8i2.20065

Abstract

Graph labeling involves mapping the elements of a graph (edges and vertices) to a set of positive integers. The concept of an anti-magic super outer labeling (a,d)-H pertains to assigning labels to the vertices and edges of a graph using natural numbers {1,2,3,...,p+q}. The weights of the outer labels H form an arithmetic sequence {a,a+d,a+2d,...,a+(k-1)d}, where 'a' represents the first term, 'd' is the common difference, and 'k' denotes the total number of outer labels, with the smallest label assigned to a vertex. This study investigates the super (a,d)-P_2⨀P_m-antimagic total labeling of the corona product P_n⨀P_m, where n and m are both greater than or equal to 3. We define the labeling functions for vertices and edges based on the partitioning of labels into three subsets. Using k-balanced and (k,δ)-anti balanced multisets, we demonstrate that for m being odd, P_n⨀P_m is super (9m^2 n+4mn+m-n+3,1)-P_2 ⨀▒P_(m ) -antimagic, and for m being even, P_n⨀P_m is super (9m^2 n+4mn+m-2n+5,3)-P_2 ⨀▒P_(m ) -antimagic. The labeling scheme is illustrated through examples. For the case when m is odd, an antimagic total labeling of P_3 ⨀▒P_3    forms a super (282,1)- P_2 ⨀▒P_(3 )  -antimagic labeling. In the case of even m, an antimagic total labeling of P_3 ⨀▒P_(4 ) results in a super (483,3)- P_2 ⨀▒P_(4 )  -antimagic labeling. Both of these examples provide insights into the antimagic properties of corona products.
ABC Index Analysis: Physical Properties of Prenylated Xanthone Pratiwi, Lia Fitta; Mufarrihati, Ardelia; Dharmayani, Ni Komang Tri; Wardhana, I Gede Adhitya Wisnu
JURNAL DIFERENSIAL Vol 7 No 2 (2025): November 2025
Publisher : Program Studi Matematika, Universitas Nusa Cendana

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35508/jd.v7i2.20418

Abstract

Xanthone is a heterocyclic compound with various substituents (hydroxy, prenyl, geranyl, methoxy, halogens, and others). The presence of these substituents contributes to diverse biological activities, including anticancer, antidiabetic, and antioxidant properties. This study aims to optimize the design of xanthone derivatives through a mathematical approach using Chemical Topological Graphs (CTG) and the Atom-Bond Connectivity (ABC) index. A literature review was conducted to identify the physicochemical properties, biological activities, and molecular structures of compounds such as 1,7-dihydroxy-3-methoxy-2-(3-methylbut-2-enyl)xanthone (1), Gartanin (2), and Garcinon (3). These xanthone derivatives are distinguished by the number of prenyl substitutions on their core structures. Chemical graph theory is employed to represent molecular structures, with atoms represented as nodes and chemical bonds as edges. The ABC index is calculated based on the degree of connected atoms within the molecules and correlated with the compounds’ physicochemical properties and bioactivity. The ABC index values for compounds (1), (2), and (3) are 32.186, 43.987, and 51.744, respectively. These values indicate that an increase in prenyl substitutions leads to higher ABC index values, which correspond to decreased polarity, increased boiling points, and enhanced bioactivity and stability of the xanthone derivatives
Analisis Hubungan Nilai Indeks Zagreb dengan Titik Didih dan Kestabilan Senyawa Kerangka Dasar Calamenene Sabil, M. Ibnu; Miftahurrahman, Miftahurrahman; Wardhana, I Gede Adhitya Wisnu; Dharmayani, Ni Komang Tri
JURNAL DIFERENSIAL Vol 7 No 2 (2025): November 2025
Publisher : Program Studi Matematika, Universitas Nusa Cendana

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35508/jd.v7i2.20431

Abstract

A new compound, dysoxyphenol, isolated from Dysoxylum densiflorum, has acalamenene-based framework. The structure of dysoxyphenol is classified as a sesquiterpene. Thisstudy discusses the relationship between Zagreb Index values and the physical properties andstability of two compounds: calamenene and dysoxyphenol. The Zagreb Index, consisting of thefirst and second indices, is used to measure the structural stability of a graph through the sum ofsquared vertex degrees. The objective of this analysis is to determine the Zagreb Index values forcalamenene and dysoxyphenol, to measure the boiling points and stability of the compounds. Thisanalysis was carried out by examining the structures of calamenene and dysoxyphenol. The obtainedstructures were then analyzed graphically. The results of this study show that the first and secondZagreb Index values for calamenene are 262 and 340, which are smaller compared to the first andsecond Zagreb Index values for dysoxyphenol, which are 264 and 350, respectively. This indicatesthat calamenene has a lower boiling point than dysoxyphenol and is more stable than dysoxyphenol.
Indeks Sombor dari Graf Koprima Prima untuk Grup Bilangan Bulat Modulo Abdurahim, Abdurahim; Satriyantara, Rio; Maulana, Fariz; Wardhana, I Gede Adhitya Wisnu; Robbaniyyah, Nuzla Af’idatur
JURNAL DIFERENSIAL Vol 7 No 2 (2025): November 2025
Publisher : Program Studi Matematika, Universitas Nusa Cendana

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35508/jd.v7i2.21120

Abstract

The prime coprime graph of integers modulo n is an ordered pair consisting of a set of vertices (integers modulo n) and edges. Two distinct vertices are said to be adjacent if the greatest common divisor (gcd) of their orders is either 1 or a prime number. This article discusses the prime coprime graph of integers modulo n for n = pq, where p < q are prime numbers. The results of the study include the degree characteristics of the vertices and the subgraphs formed. Additionally, the Sombor index of the graph is also determined.
TOPOLOGY INDEX OF THE COPRIME GRAPH FOR DIHEDRAL GROUP OF PRIME POWER ORDER Gayatri, Marena Rahayu; Fadhilah, Rifdah; Lestari, Sahin Two; Pratiwi, Lia Fitta; Abdurahim, Abdurahim; Wardhana, I Gede Adhitya Wisnu
JURNAL DIFERENSIAL Vol 5 No 2 (2023): November 2023
Publisher : Program Studi Matematika, Universitas Nusa Cendana

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35508/jd.v5i2.12462

Abstract

In the field of molecular chemistry, graph theory is utilized to represent the structure of a molecule, where the set of nodes corresponds to its chemical elements and the set of edges represents the bonds within the chemical molecule. Graph theory, a mathematical discipline, finds application in various domains, one of which is group representation. This research will delve into the topic of the topological indices of the coprime graph of dihedral groups. The methodology employed involves reviewing several references related to dihedral groups, coprime graphs, and topological indices. This study yields results in the form of Harmonic index, Harary index, first Zagreb index, Gutman index, and Wiener index.
The Characterization of Almost Prime Submodule on the Finitely Generated Module over Principal Ideal Domain Wardhana, I Gede Adhitya Wisnu; Astuti, Pudji; Muchtadi-Alamsyah, Intan
Journal of the Indonesian Mathematical Society VOLUME 30 NUMBER 1 (MARCH 2024)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.30.1.1396.63-76

Abstract

In most cases, almost prime submodules are equivalent to prime submodules, but in a finitely generated module, it is not necessarily equivalent. Based on the fact that a finitely generated module over a principal ideal domain can be decomposed into a free part and a torsion part, we give a new approach to the characteristic of almost prime submodules in the finitely generated module, especially we point out the cases when the submodules are almost prime but not prime.
The Clique Number and The Chromatics Number Of The Coprime Graph for The Generalized Quarternion Group Gayatri, Marena Rahayu; Nurhabibah, Nurhabibah; Aini, Qurratul; Awanis, Zata Yumni; Salwa, Salwa; Wardhana, I Gede Adhitya Wisnu
JTAM (Jurnal Teori dan Aplikasi Matematika) Vol 7, No 2 (2023): April
Publisher : Universitas Muhammadiyah Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31764/jtam.v7i2.13099

Abstract

Graph theory can give a representation of abstract mathematical systems such as groups or rings. We have many graph representations for a group, in this study we use the coprime graph representation for a generalized quaternion group to find the numerical invariants of the graph, which are the clique number and the chromatic number. The main results obtained from this study are the clique number of the coprime graph representation for the generalized quaternion group is equal to the chromatic number of the coprime graph representation for the generalized quaternion group for each case of  the order.
MENGOPTIMALKAN PEMANFAATAN SUMBER DAYA KENTANG: KETERLIBATAN MASYARAKAT DAN PENINGKATAN KETERAMPILAN DALAM MENGGALI POTENSI TINGGI TEPUNG KENTANG DI DESA WISATA SEMBALUN BUMBUNG Dharmayani, Ni Komang Tri; Yuanita, Emmy; Ulfa, Maria; Ningsih, Baiq Nila Sari; Sudirman, Sudirman; Septiyana, Maulida; Wardhana, I Gede Adhitya Wisnu
Jurnal Pengabdian Inovasi Masyarakat Indonesia Vol. 3 No. 1 (2024): Edisi Februari
Publisher : Program Studi Pendidikan Kimia FKIP Universitas Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29303/jpimi.v3i1.3344

Abstract

Potatoes are one of the staple crops widely cultivated worldwide, with significant production, especially in Europe and North America. However, the economic potential of potatoes has not been fully harnessed, particularly in villages like Sembalun Bumbung, West Nusa Tenggara Province, Indonesia. This article outlines a community engagement approach aimed at enhancing the understanding and skills of the community in utilizing potato flour as a valuable local resource. The implementation methodology involves three main approaches: knowledge transfer, technology transfer, and mentoring. The activities encompass education, hands-on training, as well as testing and evaluating processed potato flour products, particularly noodles. The results of the program demonstrate high enthusiasm among participants, who have successfully produced high-quality potato flour and noodles. This program provides new opportunities for the community to utilize potatoes as an additional source of income and has the potential to significantly boost the village's economy.
Sosialisasi Penulisan Artikel Ilmiah untuk Pengganti Skripsi pada Mahasiswa Universitas Mataram Gayatri, Marena Rahayu; Ghoffari, Lalu Hasan; Husni, Muhammad Naoval; Febrilia, Baiq Rika Ayu; Syarifudin, Abdul Gazir; Putra, Lalu Riski Wirendra; Wardhana, I Gede Adhitya Wisnu
Jurnal Pengabdian Inovasi Masyarakat Indonesia Vol. 3 No. 1 (2024): Edisi Februari
Publisher : Program Studi Pendidikan Kimia FKIP Universitas Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29303/jpimi.v3i1.3532

Abstract

Keputusan terbaru dari Kemendikbud Ristek yang menghapus persyaratan penulisan skripsi bagi mahasiswa merupakan sebuah terobosan penting dalam konteks pendidikan tinggi di Indonesia. Salah satu aspek utama dari kebijakan ini adalah penggantian skripsi dengan publikasi jurnal ilmiah. Sejalan dengan inisiatif ini, Program Studi Matematika Universitas Mataram telah menjalin kerja sama dengan Gamatika Research Club untuk mendistribusikan informasi terkait. Kegiatan sosialisasi ini melibatkan dua narasumber yang ahli di bidangnya. Narasumber pertama memberikan panduan lengkap mengenai prosedur dan pedoman untuk menggantikan skripsi dengan publikasi ilmiah, termasuk tahapan-tahapan yang harus diikuti oleh mahasiswa. Narasumber kedua memberikan tips, motivasi, dan wawasan mengenai pentingnya menerbitkan publikasi ilmiah bagi mahasiswa, serta menjelaskan manfaat dan peluang yang dapat diperoleh dari proses ini. Dengan demikian, kegiatan ini bertujuan untuk memberikan pemahaman yang komprehensif kepada mahasiswa mengenai perubahan ini dalam tata cara penyelesaian studi tingkat sarjana di lingkungan perguruan tinggi.
Co-Authors @ Ismail, Ghazali Semil A.A. Ketut Agung Cahyawan W Abdul Gazir Syarifudin Abdul Gazir Syarifudin Abdurahim, Abdurahim Adelia Adelia Adelia Adelia, Adelia Adem Kilicman Aenan Salsabila Afdhaluzzikri, M. Ahmadil Hamdi Albaracin, Jimboy R. Alfian Putra Ardana Alfian Putra Ardana Alimon, Nur Idayu Ambar, Jinan Angamuthu, Manimaran Anisa Agustina Anisa Agustina, Anisa Arisanti, Devia Arzaki Zaget Oasis Ashadul Umam Asmarani, Evi Yuniartika Aulia, Sita Armi Awanis, Zatta Yumni Ayes Malona Siboro Ayes Malona Siboro Ayes Malona Siboro Baiq Desy Aniska Prayanti Baiq Rika Ayu Febrilia Beni Nungroho Sudiantoro Biswas, Hena Rani Borisman Bertinegara Dara Purnamasari Dara Puspita Anggraeni De Siroj Ragil Ahmad Deny Putra Malik Devia Arisanti Dia Lestari Dina Eka Putri Dwi Noorma Putri Emmy Yuanita Erma Suwastika Evi Yunartika Asmarani Evi Yuniartika Asmarani Evi Yuniartika Asmarani Evi Yuniartika Asmarani Fadhilah, Rifdah Fariz Maulana Fariz Maulana Farwan, Farwan Fathul Maulina Wahidah Febrilia, Baiq Rika Ayu FITRAH RAMADHAN Gayatri, Marena Rahayu Ghazali Semil @ Ismail Ghazali Semil Ismail Ghoffari, Lalu Hasan Gifani Putri Setiandini Gilman, M. Afdhol Graha, Syifa Salsabila Satya Gusti Yogananda Karang Haryati, Ida Hijriati, Naimah Husni, Muhammad Naoval I Nengah Suparta Ida Rohani Ilham Ilham Ilham Ilham Intan Muchtadi Alamsyah Intan Nadilah Irene Rainbow Kewa Somi Irene Salsabila Irwansyah Irwansyah Irwansyah Irwansyah Irwansyah Irwansyah Jurnal Pepadu Karang, Gusti Yogananda Laila Hayati Laila Maya Santi Lailia Awalushaumi Lalu Hasan Ghoffari Lalu Hasan Ghoffari Lalu Muhammad Faiz Zikri Lalu Riski Wirendra Putra Lalu Riski Wirendra Putra Lestari, Sahin Two Lia Fitta Pratiwi Lia Fitta Pratiwi Luluk Kartika Luzianawati Luzianawati M Fauzul M. Afdhol Gilman Malik, Deny Putra MAMIKA UJIANITA ROMDHINI Mamika Ujianita Romdhini Maria Ulfa Marwan Marwan Masriani Masriani Masriani Masriani Maulana, Fariz Maulana, Muklas Maulani Rizqi Maulida Septiyana MAXRIZAL Miftahurrahman, Miftahurrahman Misuki, Wahyu Ulyafandhie Mufarrihati, Ardelia Muhammad Ahsan Hidayat Muhammad Naoval Husni Muhammad Rijal Alfian Muklas Maulana Munawara Putia Nabilah Fikriah Rahin Nanda Lestari Nghiem, Nguyen Dang Hoa Ni Komang Tri Dharmayani Ni Komang Tri Dharmayani Ni Wayan Switrayni Ni Wayan Switrayni Ni Wayan Switrayni Nikken Prima Puspita Ningsih, Baiq Nila Sari Nor Haniza Sarmin Nur Asmita Purnamasari Nur Idayu Alimon Nur Idayu Alimon Nur Nabilah Abdul Razak Nurhabibah Nurhabibah Nurhabibah Nurhabibah Nurhabibah Nurhabibah Nurina Fadlila Shaumi Nuzla Af'idatur Robbaniyyah Oasis, Arzaki Zaget Pradana, Satriawan Pratama, Rendi Bahtiar Pratiwi, Lia Fitta Prof. Dr.I Nengah Suparta,M.Si . PUDJI ASTUTI Purnamasari, Dara Putia, Munawara Putra, Lalu Riski Wirendra Putri Kurnia Chairunnisa Putri, Syaftirridho Putu Kartika Dewi Putu Kartika Dewi Qurratul Aini Qurratul Aini Qurratul Aini Rabbelia Tri Qudrani Ramdani, Dewi Santri Rendi Bahtiar Pratama Resa Putri Fibriyanti Subiyanto Rida Alkausar Hardi Rina Juliana Rina Juliana Rio Satriyantara Rizka Purnama Sari Robbaniyyah, Nuzla Af’idatur Rohani, Ida Sabil, M. Ibnu Sahin Two Lestari Sahin Two Lestari Sahin Two Lestari Salsabila, Aenan Salwa Salwa Salwa Salwa Salwa Salwa Salwa Salwa Salwa Salwa Sarmin, Nor Haniza Satriawan, Didit Semil @ Ismail, Ghazali Siboro, Ayes Malona Siti Raudhatul Kamali Sudiantoro, Beni Nungroho Sudirman Sudirman Surya Hadi Syafitri, Hanna Syaftirridho Putri Syaftirridho Putri Syamsul Bahri Tri Dharmayani, Ni Komang Tri Maryono Rusadi Ubaidillah, Moch Rafi Zarkasy Wahidah, Fathul Maulina Widiastuti, Ratna Sari Yatin, Bela Zainun Yunita Septriana Anwar Zata Yumni Awanis Zata Yumni Awanis Zata Yumni Awaris