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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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Journal : Tensor: Pure and Applied Mathematics Journal

 1 
On H-Irregularity Strength of Grid Graphs Meilin Imelda Tilukay
Tensor: Pure and Applied Mathematics Journal Vol 1 No 1 (2020): 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/tensorvol1iss1pp1-6

Abstract

This paper deals with three graph characteristics related to graph covering named the (vertex, edge, and total, resp.) –irregularity strength of a graph admitting -covering. Those are the minimum values of positive integer such that has an -irregular (vertex, edge, and total, resp.) -labeling. The exact values of this three graph characteristics are determined for grid graph admitting grid-covering,
The Modular Irregularity Strength of Triangular Book Graphs Meilin Imelda Tilukay
Tensor: Pure and Applied Mathematics Journal Vol 2 No 2 (2021): 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/tensorvol2iss2pp53-58

Abstract

This paper deals with the modular irregularity strength of a graph of vertices, a new graph invariant, modified from the well-known irregularity strength, by changing the condition of the vertex-weight set associate to the irregular labeling from distinct positive integer to -the group of integer modulo . Investigating the triangular book graph , we first find the irregularity strength of triangular book graph , which is also the lower bound for the modular irregularity strength, and then construct a modular irregular -labeling. The result shows that triangular book graphs admit a modular irregular labeling and its modular irregularity strength and irregularity strength are equal, except for a small case.
The total irregularity strength of m copies of the friendship graph Meilin Tilukay; Harmanus Batkunde
Tensor: Pure and Applied Mathematics Journal Vol 3 No 1 (2022): 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/tensorvol3iss1pp43-48

Abstract

This paper deals with the totally irregular total labeling of the disjoin union of friendship graphs. The results shows that the disjoin union of copies of the friendship graph is a totally irregular total graph with the exact values of the total irregularity strength equals to its edge irregular total strength.
On the Total Irregularity Strength of the Corona Product of a Path with Path Meilin Tilukay
Tensor: Pure and Applied Mathematics Journal Vol 4 No 1 (2023): 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/tensorvol4iss1pp21-26

Abstract

This paper deals with the totally irregular total labeling of the corona product of a path with path, cycle, and star. The results gave the exact values of the total irregularity strength of pm \dot Pn and for integer 2 \leq m \leq 3 and n\geq 3
Perbandingan Model Prediksi Frekuensi Titik Panas di Provinsi Riau dengan menggunakan LSTM Wattimena, Emanuella M C; Tilukay, Meilin Imelda
Tensor: Pure and Applied Mathematics Journal Vol 4 No 2 (2023): 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/tensorvol4iss2pp53-62

Abstract

The high rate of deforestation in Indonesia due to forest and land fires (karhutla) is still a problem that requires the government's attention because it has become a regional and global disaster. The worst forest fire incident in Indonesia occurred in 2019, where the area of ​​the fire was 1,649,258 ha. Riau Province is one of the provinces in Indonesia that often experiences forest fires. Sipongi noted that an average of 52,986 ha of forest and land burned in Riau Province every year from 2016-2020. Thus, this study builds a predictive model for the emergence of hotspots as one of the forest fires that aims to reduce the rate of forest fires. Prediction model built using Long Short-Term Memory Recurrent Neural Network (LSTM-RNN). The modeling is carried out using 2 data scenarios, namely multivariate data and univariate data, where multivariate data uses weather variables as predictors of hotspot frequency, and univariate data is hotspot frequency data. The data used is daily data from 2013-2020. Multivariate scenario dataset that produces RMSE of 23,323 and the correlation between actual and predicted data is 0,675554. The RMSE generated by the multivariate dataset is smaller than the RMSE generated by the model with the univariate dataset scenario, which is 25,750. However, datasets with univariate scenarios produce a larger correlation between actual and predicted values ​​when compared to multivariate dataset scenarios. The addition of weather factors as a predictor of hotspot occurrence can improve model performance, where this model is better at predicting values ​​when compared to univariate dataset scenarios even though the running time is longer. Keywords: forest and land fire, hotspots, Long Short-Term Memory, Recurrent Neural Network, prediction, time series
The Digital Image Compression Using Wavelet Daubechies Transform Maitimu, Meldry W; Rumlawang, Francis Y; Tilukay, Meilin I; Batkunde, Harmanus
Tensor: Pure and Applied Mathematics Journal Vol 5 No 1 (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/tensorvol5iss1pp27-32

Abstract

As a form of data representation, the obstacle faced when using digital images is the large volume of data required to represent the image. For that we need a technique that can reduce the volume of data, this thechnique is called compression. In this thesis, a very well-known wavelet transform method is chosen, namely Daubechies D4 wavelet transform, with four coefficients of scaling function, and four coefficients of wavelet function. Then implemented with MATLAB 2021 software as a programming tool to see the effect of quality on the transformed image.
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

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 2 (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.
Reduksi Noise Pada Citra Digital Menggunakan Metode Arithmatic Mean Filter Ciptoadi, Rayhan Khalid; Sersian, Sintia Sara; Allu, Rifaldi; Wattimena, Abraham Z.; Tilukay, Meilin Imelda
Tensor: Pure and Applied Mathematics Journal Vol 6 No 2 (2025): Vol 6 No 2 (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/tensorvol6iss2pp87-94

Abstract

Citra merupakan suatu bentuk informasi yang memiliki peranan yang cukup penting. Citra dapat berbentuk 2 dimensi seperti gambar, foto, ataupun lukisan. Citra sendiri sering digunakan oleh masyarakat untuk keperluan sehari-hari, mulai dari untuk hiburan sampai untuk pekerjaan. Citra dapat digunakan sebagai hiasan atau juga dapat digunakan sebagai sumber mata pencaharian, seperti contohnya foto, video, iklan, dan lain-lain. Kamera digital, CCTV, ataupun dashboard merupakan tools atau alat yang biasa digunakan untuk menangkap citra atau gambar. Namun, dalam proses akuisisi, transmisi, dan penyimpanan, citra digital sering kali terkontaminasi oleh noise. Noise adalah gangguan acak yang mempengaruhi nilai piksel dalam citra, menyebabkan distorsi visual dan mengurangi kualitas citra secara keseluruhan. Beberapa jenis noise yang umum ditemukan dalam citra digital termasuk Gaussian noise, salt-and-pepper noise, dan speckle noise. Noise atau kebisingan yang melekat pada gambar perlu ditangani dengan cara mereduksinya agar lebih jelas dengan metode filter mean arithmatic yang dapat mengurangi noise pada gambar gambar digital jauh lebih jelas setelah dikurangi. Penelitian ini bertujuan untuk menguji keefektifan metode ini dalam mereduksi noise pada citra sehingga menghasilkan citra atau gambar dengan kualitas yang lebih baik. Pada penilitian ini digunakan dua ukuran filter pada Arithmetic Mean Filter, yaitu ukuran 3x3 dan 5x5. Hasil yang diperoleh bahwa bahwa hasil denoising menggunakan filter 3x3 lebih baik dibandingkan dengan menggunakan filter 5x5. Dimana pada filter 5x5, gambar hasil denoise menjadi blur atau kabur dibandingkan pada gambar hasil denoise menggunakan filter 3x3.
Co-Authors A. N. M. Salman A. N. M. Salman Allu, Rifaldi Batkunde, Harmanus Ciptoadi, Rayhan Khalid 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. Sersian, Sintia Sara Taihuttu, Pranaya D. M. Taihutu, Pranaya Dharia M. Talakua, M. W. Titawanno, Tasya I. Wattimena, Abraham Z. Wattimena, E. M. C. Wattimena, Emanuella M C Z. A. Leleury Zeth A. Leleury Zeth Arthur Leleury, Zeth Arthur