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On Super (a,d)-C_3- Antimagic Total Labeling of Dutch Windmill Graph D_3^m Irene, Yanne; Mahmudi, Mahmudi; Nurmaleni, Nurmaleni
Mathline : Jurnal Matematika dan Pendidikan Matematika Vol. 9 No. 1 (2024): Mathline: Jurnal Matematika dan Pendidikan Matematika
Publisher : Universitas Wiralodra

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31943/mathline.v9i1.565

Abstract

This paper  is aimed to investigate the existence of super (a,d)-C_3- antimagic total labeling of dutch windmill graph D_3^m . The methods to achieves the goal was  taken in three step. First of all determine the edge and vertices notation on dutch windmill graph . At the second step, labeling the vertices and edges of several dutch windmill graphs, then obtained the pattern. Finally pattern must be proven to become theorem. Based on the study, The Dutch Windmill Graph D_3^m, with m>=2 has super  (14m+9,5)-C_3- antimagic total labeling, super (13m+8,3)-C_3-  antimagic total labeling, super (12m+9.,5)-C_3-  antimagic total labeling, super (11m+10.,7)-C_3-  antimagic total labeling, super (10m+8.,3)-C_3-  antimagic total labeling.
Product Cordial Labeling Of Scale Graph S_{1,r}\left(C_3\right) For r\geq3 Irene, Yanne; Lestari, Winda Ayu Mei; Mahmudi, Mahmudi; Manaqib, Muhammad; Elfiyanti, Gustina
Mathline : Jurnal Matematika dan Pendidikan Matematika Vol. 9 No. 4 (2024): Mathline : Jurnal Matematika dan Pendidikan Matematika
Publisher : Universitas Wiralodra

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31943/mathline.v9i4.662

Abstract

Graph theory plays a crucial role in various fields, including communication systems, computer networks, and integrated circuit design. One important aspect of this theory is product cordial labeling, which involves assigning labels to the vertices and edges of a graph in a specific way to achieve a balance. Despite extensive research, the product cordial labeling of scale graphs has not been thoroughly explored. This study aims to fill this gap by investigating whether the scale graph  can be labeled in a product cordial manner. To achieve this, we followed a three-step methodology: first, we identified the vertices and edge notations of the scale graph ; second, we assigned binary labels (0 and 1) to each vertex and edge to identify a pattern; and third, we proved that this pattern meets the criteria for product cordial labeling. Our findings reveal that the scale graph does indeed support product cordial labeling, thus confirming it as a product cordial graph. This research not only advances our understanding of graph labeling but also provides practical insights that can be applied to optimize network structures and address complex problems in science and engineering.Graph theory plays a crucial role in various fields, including communication systems, computer networks, and integrated circuit design. One important aspect of this theory is product cordial labeling, which involves assigning labels to the vertices and edges of a graph in a specific way to achieve a balance. Despite extensive research, the product cordial labeling of scale graphs has not been thoroughly explored. This study aims to fill this gap by investigating whether the scale graph  can be labeled in a product cordial manner. To achieve this, we followed a three-step methodology: first, we identified the vertices and edge notations of the scale graph ; second, we assigned binary labels (0 and 1) to each vertex and edge to identify a pattern; and third, we proved that this pattern meets the criteria for product cordial labeling. Our findings reveal that the scale graph does indeed support product cordial labeling, thus confirming it as a product cordial graph. This research not only advances our understanding of graph labeling but also provides practical insights that can be applied to optimize network structures and address complex problems in science and engineering.
DUAL RECIPROCITY BOUNDARY ELEMENT METHOD FOR SOLVING TIME-DEPENDENT WATER INFILTRATION PROBLEMS IN IMPERMEABLE CHANNEL IRRIGATION SYSTEMS Irene, Yanne; Manaqib, Muhammad; Alamsyah, Mochammad Rafli; Wijaya, Madona Yunita
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/barekengvol19iss4pp2583-2596

Abstract

The mathematical model of water infiltration in a furrow irrigation channel with an impermeable layer in homogeneous soil is formulated as a Boundary Value Problem (BVP) with the Modified Helmholtz Equation as the governing equation and mixed boundary conditions. The purpose of this study is to solve the infiltration problem using the Dual Reciprocity Boundary Element Method (DRBEM). The results show that the highest values of suction potential and water content are located beneath the permeable channel, while the lowest values are found at the soil surface outside the channel and beneath the impermeable layer. The values of suction potential and water content increase over time t and converge, indicating stability in the infiltration process. These findings align well with real-world scenarios, demonstrating that the developed mathematical model and its numerical solution using DRBEM accurately illustrate the time-dependent water infiltration process in impermeable furrow irrigation channels.
An Analysis of Water Infiltration in Furrow Irrigation Channels with Plants in Various Types of Soil in the Special Region of Yogyakarta Using Dual Reciprocity Boundary Element Method Irene, Yanne; Manaqib, Muhammad; Ramadhanty, Vina Wulandari; Ria Affriani, Asri
JTAM (Jurnal Teori dan Aplikasi Matematika) Vol 8, No 3 (2024): July
Publisher : Universitas Muhammadiyah Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31764/jtam.v8i3.19873

Abstract

The analysis of water infiltration channels requires significant time and cost when conducted through laboratory experiments. Alternatively, mathematical modeling followed by numerical method can be employed. The mathematical model of water infiltration in furrow irrigation channels takes the form of a boundary value problem, with the Helmholtz equation serving as the governing equation. The Dual Reciprocity Boundary Element Method (DRBEM) is a numerical method derived from the Boundary Element Method (BEM), utilized for solving partial differential equations encountered in mathematical physics and engineering. This research employs DRBEM to analyze infiltration in trapezoidal irrigation channels with root-water uptake across various homogeneous soil types prevalent in agricultural lands in each District/City of the Yogyakarta Special Region Province. The results demonstrate that DRBEM provides numerical solutions for suction potential, water content, and root water absorption for each soil type. It was found that sandy soil exhibits high water content but has a low rate of root water absorption. On the other hand, clayey soil has low water content but a higher rate of root water uptake. These findings indicate that sandy soil, such as those found in Sleman District and Yogyakarta city, are less efficient in water usage when employing the furrow irrigation system, whereas clayey soil, as found in Gunung Kidul regency, is more effective.
Perbandingan Model Klasifikasi Transfer Learning Convolutional Neural Network Tumor Otak menggunakan Citra Magnetic Resonance Imaging Pratama, Noval; Liebenlito, Muhaza; Irene, Yanne
Jurnal Sehat Indonesia (JUSINDO) Vol. 6 No. 01 (2024): Jurnal Sehat Indonesia (JUSINDO)
Publisher : CV. Publikasi Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.59141/jsi.v6i01.81

Abstract

Analisis tumor otak menjadi subjek penting dalam kedokteran, di mana deteksi yang cepat dan akurat dapat mengarah pada perawatan yang lebih baik. Tujuan penelitian ini adalah untuk membandingkan dan mengevaluasi kinerja delapan model arsitektur jaringan pre-built yang telah dibangun sebelumnya dalam mengklasifikasikan tumor MRI menggunakan metodologi pembelajaran transfer learning. Pada penelitian ini dataset yang digunakan merupakan citra Magnetic Resonance Imaging (MRI) sebanyak 3.264 yang terdiri dari meningioma, glioma, pituitary dan yang tidak menderita tumor otak. Pada penelitian ini, peneliti menggunakan arsitektur jaringan yang telah dilatih sebelumnya pada kumpulan data besar untuk tugas klasifikasi umum. Pendekatan pembelajaran transfer ini memungkinkan kita untuk memanfaatkan fitur tingkat tinggi yang telah dipelajari oleh model dalam dataset umum dan menyesuaikannya dengan dataset spesifik tumor otak yang lebih kecil. Hasil eksperimen menunjukkan bahwa pendekatan transfer learning ini berhasil mengklasifikasikan jenis tumor otak dengan akurasi yang memuaskan, bahkan dengan dataset yang terbatas. Teknik ini menjanjikan untuk meningkatkan diagnosis dini dan manajemen tumor otak dalam praktik klinis dengan memanfaatkan kekuatan model yang ada tanpa perlu melatih model dari awal.