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Journal : M A T H L I N E : Jurnal Matematika dan Pendidikan Matematika

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.
The Effect of Ensemble Averaging Method on Rainfall Forecasting in Jakarta Using ARIMA and ARIMAX Mahmudi, Mahmudi; Hidayat, Afnenda Rachmalia; Wijaya, Madona Yunita
Mathline : Jurnal Matematika dan Pendidikan Matematika Vol. 9 No. 2 (2024): Mathline: Jurnal Matematika dan Pendidikan Matematika
Publisher : Universitas Wiralodra

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31943/mathline.v9i2.608

Abstract

This research discusses rainfall modeling using ARIMA and ARIMAX models in Jakarta. This is important because rainfall forecasting in Jakarta has a significant impact on flooding and infrastructure. The focus of this research is on significant ARIMA and ARIMAX models, which are then subtotaled using ensemble averaging. Humidity and temperature variables are of particular interest in ARIMAX modeling due to their high correlation with rainfall. This quantitative research uses secondary data analysis from Tanjung Priok and Kemayoran Stations through the BMKG website, from July 2018 to June 2023. Cuanbet88 merupakan salah satu portal link slot gacor 777 resmi untuk generasi muda, cukup dengan situs slot777 pasti gampang menang 2025. The results obtained at Tanjung Priok Station there are five significant ARIMA models and three significant ARIMAX models. While at Kemayoran Station there are 6 significant ARIMA models and two significant ARIMAX models. After using the ensemble averaging method on both ARIMA and ARIMAX models, the resulting SMAPE value is not better than the best ARIMA or ARIMAX models at both stations. Of all the models performed, the best model in forecasting with the smallest SMAPE is ARIMAX (0,0,1) at Tanjung Priok Station which is 37.83% and at Kemayoran Station which is 27.59%. This research provides new insights and significant contributions in understanding and developing rainfall forecasting in Jakarta using the ensemble averaging method.
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.
Co-Authors Abda Abda Abdul Muis Achmad Taufiq Adinanta, Hendra Adyatma, Adnan Azis Agus Arwani Agus Imam Santoso Agus Supriyadi Agus Winarsih Ahmad Taufiq Ahsanul Anam, Ahsanul Aisyah, Maulidyati Al Ghifari , Abudzar Albar, Nizam Alfariza, Agus Aziz Alwi, Alwi Shobri Andrini, Woro Anggi Susilawati Anida Anida Anida Anida, Anida Ardhian Putra, Govan Arif Khoiruddin, Muhammad Artana, I Wayan Arta Arya Imamuddin Koeswara, Arya Imamuddin Asep Rusyana Asmuki, Asmuki Astria, Kenny Azhari, Saiful Azizi, Nur Azzahra, Panca Rahmi Baiturrahman, Baiturrahman Bambang Saputra Baraba, Rania Abdul Aziz Bulut, Sefa Chairul Amriyah Dachi, Andreas Aditama Dahri, Ahmad Danang Setyadi Dekar Urumsah Dewi Nindiasari, Avininda Dewi, Herlina Rahmawati Dhea Urfina Zulkifli Dwi Ariyani, Asri Dwi Rugiarti, Novi Elfiyanti, Gustina Elfurqany, Nuwairy Fachrunniza, Yunda Fahmi, Mulkan Farrah Fahdhienie Fidia Deny Tisna Amijaya Hadi, Bawa Mulyono Hadi, Nasrul Hafnani Hafnani Hamdi, Syaiful Hari Santoso Harjianto, Puji Hasanah Hasanah Herawati Susilo Herlina Rahmawati Dewi Hidayat, Afnenda Rachmalia Iftihor, Iftihor Ika Sarah Mahsitah Ilmawati, Dwi Irkhamuddin, Irkhamuddin Irma Fauziah Irma Rahayu, Irma Jakaria Jakaria Jakfar Rohman, Muhammad Amin Junaidi Junaidi Kabes, Wetty Queenisa Kandiri, Kandiri Kwantono, Hansel Timothy Lesmana, Diyan Lestari, Winda Ayu Mei Lestariningsih, Titin Lie, Oleh Tjhing Man lie, Tjhing Man Linawati , Linawati Linawati Linawati Lutfan Milzam, Ahmad Lutfi, Saiful M. Yogi Riyantama Isjoni Machnunah Ani Zulfah, Machnunah Ani Maftukhah, Tatik Mahmud, Dini Rosyada Man Lie, Tjhing Manan, Muhammad Abdul Martin, Bryanda Arya Prabusta Mau, Daniel Pandu Mau, Yesarela Pandu Maulidi, Ikhsan Maysun, Maysun Mentari Maghfirani Riyadi Muhamad Abdul Manan Muhamad Syazali MUHAMMAD AGIL Muhammad Habiburrahman, Muhammad Muhammad Ikhwan Muhammad Manaqib, Muhammad Muhammad Ramadhan Muhammad Yusuf Mulyono Hadi, Bawa Mulyono, Bawa Hadi Munawaroh Munawaroh Mursyidah, Nelly Murti, Ridho Bayu Mutia Farida, Mutia Mutiara Annisa Muzdalipah Musda Muzdalipah Najamuddin , Yunan Najamuddin, Yunan Nina Fitriyati Nisrina Nur Aini Novika, Fanny Nur Rizky Apdaresena Nurfauziya, Ahada Nurillah, Usmau Lidya Nurmaleni, Nurmaleni Nurmaulidar Nurmaulidar Nurul Hikmah Pamularsi, Anggita Pasaribu, Sri Rizki Aprilianti Prabowo, Ivy Dian Puspitasari Prakosa, Jalu A. Pratiwi, Enggar B. Prayoga, Galuh Purwowibowo Purwowibowo, Purwowibowo R. Priyanto Rachman, Anita Rafiq Maulana Rahima Rahima Rahman, Sunarti Abd Raiyan, Raiyan Rampengan, Derren DCH. Rara Mita Mayang Aginsyah Ratna Ekawati Reni Yendrawati Renny Sukmono, Renny Rifqi Muhammad Rina Kurniaty Rinaldi Idroes Ristawati, Ristawati Rito Goejantoro, Rito Riyanto, Eko Riza Rahmady Daeng Rizal, Alvin Noor Sahab Rizki, Anggun Robiatul Adawiyah Rosita Rosita Rosye H.R. Tanjung Rustandi, Dadang Safira, Satyarani Safitri, Issa Bella Safitri, Nur Izzati Safrina, Nurul Said Hasibuan, M. Saiful Amri Saimul Laili Salami, Muhammad Musyfiq Samsudi, Wedi Samsudin, Mohamad Aso Saputra, T Murdani Setiawan, Eureka Milky Shaleh, Munif Sidqi, Serin Tias Siti Rusdiana Siti Sarah, Siti Sofiya, Sofiya Sofwan Hidayat, Muhtar Sri Lestari Sri Wahyuni Suharno Suharno Sukamto, Ika Sumiyarsi Sukapti, Sri Supatmin, Supatmin Supeni Sufaati Supriyadi Supriyadi Suryadi Suryadi Sutanto, Taufik Edy Suwandi , Suwandi Suyud El Syam , Robingun Suyyinah, Suyyinah Syahrini, Intan Syarif Nurhidayat Tarigan, Daniel Christian Teduh Dirgahayu, Teduh Umamul Barik, Zaidus Surur Umar Faruq Usman, Tarmizi Vina Apriliani Wahidah, Nina Ikhwati Wibawa, Dwi Ari WIDIASTUTI - Widiastuti Widiastuti Wijaya, Madona Yunita Wijonarko, Sensus Yanne Irene, Yanne Yuliana Yuliana Yusuf , Muhammad Yusuf, Achmad zamroni, Thoif Zulfiani, Utari