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All Journal Electronic Journal of Graph Theory and Applications (EJGTA) BAREKENG: Jurnal Ilmu Matematika dan Terapan Indonesian Journal of Combinatorics InPrime: Indonesian Journal Of Pure And Applied Mathematics Tensor: Pure and Applied Mathematics Journal Pattimura Proceeding : Conference of Science and Technology Parameter: Jurnal Matematika, Statistika dan Terapannya PENGAMATAN: Jurnal Pengabdian Masyarakat untuk Ilmu MIPA dan Terapannya
Meilin Imelda Tilukay
Universitas Pattimura
Agriculture, Biological Sciences & Forestry Astronomy Biochemistry, Genetics & Molecular Biology Chemical Engineering, Chemistry & Bioengineering Chemistry Civil Engineering, Building, Construction & Architecture Computer Science & IT Control & Systems Engineering Decision Sciences, Operations Research & Management Economics, Econometrics & Finance Electrical & Electronics Engineering Energy Engineering Materials Science & Nanotechnology Mathematics Mechanical Engineering Physics Transportation

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The Total Disjoint Irregularity Strength of a Double and Triple Star Graphs Tilukay, Meilin Imelda; Titawanno, Tasya I.; Leleury, Zeth Arthur; Taihutu, Pranaya Dharia M.; Loves, Luvita
Tensor: Pure and Applied Mathematics Journal Vol 5 No 2 (2024): Tensor: Pure and Applied Mathematics Journal
Publisher : Department of Mathematics, Faculty of Mathematics and Natural Sciences, Pattimura University, Ambon, Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30598/tensorvol5iss2pp105-110

Abstract

NILAI TOTAL TAK TERATUR TOTAL DARI GABUNGAN TERPISAH GRAF RODA DAN GRAF BUKU SEGITIGA Rahangmetan, R. D. S.; Tilukay, M. I.; Rumlawang, F. Y.; Talakua, M. W.
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 9 No 2 (2015): BAREKENG : Jurnal Ilmu Matematika dan Terapan
Publisher : PATTIMURA UNIVERSITY

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (322.812 KB) | DOI: 10.30598/barekengvol9iss2pp97-102

Abstract

Pelabelan total tak teratur total yang diperkenalkan oleh Marzuki, dkk merupakan kombinasi dari dua jenis pelabelan tak teratur, yaitu pelabelan total tak teratur titik dan pelabelan total tak teratur titik. Bilangan bulat positif 𝑘 terkecil sedemikian sehingga suatu graf 𝐺 memiliki pelabelan 𝑘-total tak teratur total disebut nilai total tak teratur total dari 𝐺, dinotasikan dengan 𝑡𝑠(𝐺). Pada makalah ini, nilai total tak teratur total dari gabungan terpisah graf roda dan graf buku segitiga ditentukan.
THE ENTIRE FACE IRREGULARITY STRENGTH OF A BOOK WITH POLYGONAL PAGES Tilukay, Meilin I.; Ilwaru, Venn Y. I.
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 9 No 2 (2015): BAREKENG : Jurnal Ilmu Matematika dan Terapan
Publisher : PATTIMURA UNIVERSITY

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (424.182 KB) | DOI: 10.30598/barekengvol9iss2pp103-108

Abstract

A face irregular entire labeling is introduced by Baca et al. recently, as a modification of the well-known vertex irregular and edge irregular total labeling of graphs and the idea of the entire colouring of plane graph. A face irregular entire k-labeling 𝜆:𝑉∪𝐸∪𝐹→{1,2,⋯,𝑘} of a 2-connected plane graph 𝐺=(𝑉,𝐸,𝐹) is a labeling of vertices, edges, and faces of 𝐺 such that for any two different faces 𝑓 and 𝑔, their weights 𝑤𝜆(𝑓) and 𝑤𝜆(𝑓) are distinct. The minimum 𝑘 for which a plane graph 𝐺 has a face irregular entire 𝑘-labeling is called the entire face irregularity strength of 𝐺, denoted by 𝑒𝑓𝑠(𝐺). This paper deals with the entire face irregularity strength of a book with 𝑚 𝑛-polygonal pages, where embedded in a plane as a closed book with 𝑛−sided external face.
FUNGSIONAL LINEAR-2 DALAM RUANG NORM-2 Batkunde, Harmanus; Tilukay, Meilin I.; Rumlawang, Francis Y.
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 10 No 1 (2016): BAREKENG: Jurnal Ilmu Matematika dan Terapan
Publisher : PATTIMURA UNIVERSITY

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (480.184 KB) | DOI: 10.30598/barekengvol10iss1pp1-7

Abstract

Ruang norm-2 merupakan perluasan dari ruang norm yang telah kita kenal. Ruang norm-2 dan perumumannya ruang norm-n (𝑛≥2), pertama kali diperkenalkan oleh Gähler pada tahun 1960-an, [3, 4, 5, 6]. Kemudian Misiak di tahun 1989 memperkenalkan ruang hasil kali dalam-n (𝑛≥2) [16]. Setelah itu, banyak peneliti yang mengkaji sifat-sifat ataupun aspek-aspek dalam ruang norm-2 maupun ruang norm-n. Hal ini dapat dilihat pada beberapa penelitian dalam [1,2,7,8,9,10,11,12,13,14,15,18,19]. Dalam penelitian ini aspek yang akan ditinjau adalah fungsional linear-2 terbatas pada ruang norm-2. Untuk meninjau beberapa sifatnya, sebelumnya akan diperkenalkan fungsional linear-2 di ruang norm-2 dengan beberapa tipe keterbatasn. Berdasarkan tipe keterbatasan ini akan dibentuk ruang-ruang dual. Ruang-ruang dual ini memuat semua fungsional linear-2 masing-masing berdasarkan tipe keterbatasannya. Selanjutnya akan ditunjukkan bahwa ruang-ruang dual ini ekuivalen.
THE IMPACT OF BANK-SPECIFIC FACTORS ON NON-PERFORMING LOAN IN INDONESIA: EVIDENCE FROM ARDL MODEL APPROACH Sinay, Lexy Janzen; Latupeirissa, Sanlly J; Pelu, Shelma M; Tilukay, Meilin I
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 16 No 2 (2022): BAREKENG: Jurnal Ilmu Matematika dan Terapan
Publisher : PATTIMURA UNIVERSITY

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (529.601 KB) | DOI: 10.30598/barekengvol16iss2pp675-686

Abstract

Non-performing Loan (NPL) is an indicator that is generally used to determine the ability of bank management to manage non-performing loans. This study aims to analyze the impact of bank-specific factors on NPL. The bank-specific factors are Capital Adequacy Ratio (CAR), Return on Assets (ROA), Operating Expenses on Operating Income (BOPO), and Loan to Deposit Ratio (LDR). The data used is monthly time series data, a case study on Commercial Banks in Indonesia from January 2015 to August 2020. The model used to analyze these problems is Autoregressive Distributed Lag (ARDL). The results obtained are ARDL(1,6,0,1,1) model is the best model. The model shows that bank-specific factors have a direct impact on NPL. Specifically, the ARDL bounds test offers the analysis results, which show that the ability of bank-specific factors to explain the NPL of commercial banks in Indonesia is 84%. At the same time, 16% are other factors outside the model. The analysis results show a long-run cointegration relationship between NPL and specific characteristics, CAR, ROA, and BOPO. Then, only CAR, BOPO, and LDR impact NPL in the short-run relationship. The equilibrium correction obtained is significant and confirms a long-run relationship. The equilibrium correction indicates a high velocity towards stability after a shock. It means that the performance of Commercial Banks in Indonesia is outstanding during the COVID-19 Pandemic because the ability to recover from shock is relatively faster
Pembinaan Penyelesaian Soal-soal Kompetisi Sains Nasional Bidang Matematika untuk Guru dan Siswa SMA Negeri 2 Ambon Dahoklory, Novita; Rumlawang, Francis Y.; Patty, Henry W. M.; Batkunde, Harmanus; Tilukay, Meilin I.; Patty, Dyana
PENGAMATAN: Jurnal Pengabdian Masyarakat untuk Ilmu MIPA dan Terapannya Vol 1 No 2 (2023): PENGAMATAN: Jurnal Pengabdian Masyarakat untuk Ilmu MIPA dan Terapannya
Publisher : Jurusan Matematika FMIPA Universitas Pattimura

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30598/pengamatanv1i2p56-62

Abstract

Pengadaan Olimpiade Sains merupakan program yang penting dalam mengembangkan kemampuan siswa untuk berpikir kreatif dan kritis dalam memecahkan masalah. Hal ini menjadi tolak ukur penting dalam mengembangkan daya saing siswa kedepannya. Namun tingkat kesulitan yang disajikan dalam soal olimpiade cenderung tinggi jika dibandingkan dengan materi rutin yang diajarkan guru di sekolah. Oleh karena itu, guru matematika perlu meningkatkan kompetensi melalui kegiatan-kegiatan yang bertujuan meningkatkan inovasi dan kreativitas guru dalam memecahkan soal-soal olimpiade matematika. Divisi Aljabar dan Analisis Jurusan Matematika Universitas Pattimura berinisiatif melakukan pendampingan bagi guru matematika pada lembaga pendidikan SMA Negeri 2 Ambon. Kegiatan ini bertujuan untuk memberikan pendampingan bagi siswa dan guru matematika sebagai pembina olimpiade untuk dapat mengingkatkan kemampuan mencakup teori bilangan, aljabar, geometri, dan kombinatorika yang merupakan materi olimpiade matematika yang rutin disajikan dari tahun ke tahun. Selain itu, kegiatan ini juga memiliki luaran panduan olimpiade Kompetisi Sains Nasional tingkat SMA bidang Matematika sehingga diharapkan guru matematika dapat berinovasi dalam rangka persiapan siswa mengikuti olimpiade.
The Rainbow Vertex Connection Number of Some Amalgamation of Two Cycles Taihuttu, Pranaya D. M.; Tilukay, Meilin I.; Rumlawang, Francis Y.; Wattimena, E. M. C.
Tensor: Pure and Applied Mathematics Journal Vol 6 No 1 (2025): Tensor: Pure and Applied Mathematics Journal
Publisher : Department of Mathematics, Faculty of Mathematics and Natural Sciences, Pattimura University, Ambon, Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30598/tensorvol6iss1pp57-66

Abstract

This paper focuses on rainbow vertex coloring in a graph G, in which, for every two vertices in G, there exists a rainbow vertex path where all internal vertices have distinct colors. The rainbow vertex connection number of G, denoted by rvc(G), is the minimum number of colors required to make G rainbow-vertex connected. In this paper, we determine the rainbow vertex connection number of some amalgamation of two cycles.
COMPARISON OF FUZZY LOGIC METHODS OF MAMDANI AND SUGENO IN DETERMINING THE ELIGIBILITY VALUE OF KIP-KULIAH SCHOLARSHIP RECIPIENTS Latuconsina, Umi Aulia Vasa; Leleury, Zeth Arthur; Tilukay, Meilin Imelda; Haumahu, Gabriella
Parameter: Jurnal Matematika, Statistika dan Terapannya Vol 4 No 1 (2025): Parameter: Jurnal Matematika, Statistika dan Terapannya
Publisher : Jurusan Matematika FMIPA Universitas Pattimura

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30598/parameterv4i1pp55-62

Abstract

The government through the KIP-Kuliah program provides educational assistance to students from underprivileged families who continue their education at university. Although this program aims to increase access to higher education, there are several problems in its implementation, such as inaccuracy in determining the eligibility of scholarship recipients. This study aims to determine and compare the eligibility of KIP-Kuliah scholarship recipients in the UNPATTI Mathematics Study Program using the Fuzzy logic method of Mamdani and Sugeno, which considers factors such as parental dependents, parental income, and diploma grades. The calculation results show that the level of accuracy of the Mamdani method is 75.64% and the Sugeno method is 95.15%. Based on these results, it can be concluded that the Sugeno method provides a better level of accuracy than the Mamdani method in determining the eligibility of KIP-Kuliah scholarship recipients in the UNPATTI Mathematics Study Program.
The Total Irregularity Strength of a Comb Product of Stars Tilukay, Meilin Imelda; Batkunde, Harmanus
InPrime: Indonesian Journal of Pure and Applied Mathematics Vol. 6 No. 2 (2024)
Publisher : Department of Mathematics, Faculty of Sciences and Technology, UIN Syarif Hidayatullah

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.15408/inprime.v6i2.42188

Abstract

A totally irregular total k-labeling λ: V U E → {1, 2, ⋯ , k} of a graph G is a labeling where the weights of all distinct vertices and edges are unique. The weight w(x) of a vertex x is defined as the sum of its label and the labels of all edges incident to it, while the weight w(e) of an edge e is the sum of its label and the labels of its two endpoints. The minimum k for which G admits such a labeling is known as the total irregularity strength of G, denoted ts(G). This study focuses on determining ts(G) for specific classes of trees, including the comb product of stars, where the contact vertex is the central vertex of one star, and the triple star graph.Keywords: comb product; star; total irregularity strength; totally irregular total labeling graph. AbstrakPelabelan k-total tak teratur total λ: V U E → {1, 2, ⋯ , k} dari suatu graf G adalah suatu pelabelan sedemikian sehingga bobot setiap titik dan sisi masing-masing berbeda. Bobot  suatu titik w(x)  adalah jumlah label titik x dan label setiap sisi yang terkait ke x, dan bobot suatu sisi w(e) adalah jumlah label sisi e dan kedua titik yang terkait ke e. Nilai minimum k sehingga suatu graf G memiliki pelabelan tersesebut dikenal sebagai nilai ketakteraturan total dari G, dinotasikan dengan ts(G). Pada artikel ini, ditentukan nilai ketakteraturan total dari suatu kelas graf pohon, yaitu hasil operasi comb dari graf bintang, dimana titik tetapnya adalah titik pusat graf bintang, dan graf bintang tripel. Kata Kunci: hasil operasi comb; graf bintang, nilai ketakteraturan total; pelabelan total tak teratur total. 2020MSC: 05C78
Co-Authors A. N. M. Salman A. N. M. Salman Batkunde, Harmanus F. Y. Rumlawang F. Y. Rumlawang, F. Y. Francis Y. Rumlawang H. W. M. Patty Haumahu, Gabriella Ilwaru, Venn Y. I. Latuconsina, Umi Aulia Vasa Latupeirissa, Sanlly J Lexy Janzen Sinay, Lexy Janzen Loves, Luvita Maitimu, Meldry W Novita Dahoklory Patty, Dyana Pelu, Shelma M Pranaya D. M. Taihuttu Pranaya D. M. Taihuttu Rahangmetan, R. D. S. Rumlawang, Francis Y Rumlawang, Francis Y. Taihuttu, Pranaya D. M. Taihutu, Pranaya Dharia M. Talakua, M. W. Titawanno, Tasya I. Wattimena, E. M. C. Wattimena, Emanuella M C Z. A. Leleury Zeth A. Leleury Zeth Arthur Leleury, Zeth Arthur