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Indeks Topologi Padmakar Ivan dan Szeged pada Graf Koprima Prima dari Grup Bilangan Bulat Modulo Abdurahim, Abdurahim; Pratiwi, Lia Fitta; Karang, Gusti Yogananda; Wardhana, I Gede Adhiya Wisnu; Irwansyah, Irwansyah; Awanis, Zatta Yumni; Romdhini, Mamika Ujianita
Square : Journal of Mathematics and Mathematics Education Vol. 6 No. 2 (2024)
Publisher : UIN Walisongo Semarang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.21580/square.2024.6.2.22836

The Prime Coprime Graph is defined as a graph in which two distinct vertices are adjacent if and only if the greatest common divisor of their orders is 1, indicating that they are coprime. This research focuses on deriving general formulas for the Padmakar-Ivan index and the Szeged index for the coprime prime graph of the modulo integer group with n=p^k, where p is a prime number and k is not less than 2. As a result of this study, explicit formulas for the Padmakar-Ivan and Szeged indices were obtained, along with an analysis of the relationship between these two indices.Keywords: prime coprime graph, Padmakar-Ivan index, Szeged index.

Optimasi Rute Pendistribusian Barang Menggunakan Kombinasi Algoritma Branch and Bound dan Cheapest Insertion Heuristic Oeitama, Whennie Youngger; Oeitama, Whannie Youngger; Sitandi, Flora Frisilia; Mas'ud, Syamsuddin
Square : Journal of Mathematics and Mathematics Education Vol. 6 No. 2 (2024)
Publisher : UIN Walisongo Semarang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.21580/square.2024.6.2.22992

The problem that often occurs in the process of distributing goods is that the distribution route is not optimal which results in higher costs and longer travel times. This can be solved by finding the shortest path that can be passed or widely recognized as the Traveling Salesman Problem (TSP). This study aims to determine the optimal distribution route for goods using a combination of the Branch and Bound and Cheapest Insertion Heuristic algorithms. The data used are in the form of location names and distances between locations that have been collected by Putra BJ Bangun in his research entitled Solving the Traveling Salesman Problem (TSP) with the Branch and Bound Method (Application of the Palembang Post Office Goods Transportation Problem). The results of the research indicate that the optimal route for the distribution of goods at the Palembang City Post Office, using a combination of both algorithms, is: KPRK Palembang → KPC Kapt A. Rivai → KPC Pakjo → KPC Talang Ratu → KPC Sukarami → KPC Alang Lebar → KPC Sekip → KPC Cinde → KPRK Palembang, spanning a total of 24.3 km. This route can be an alternative for salesmen to visit several KPCs and return to KPRK, with more efficient costs and time because it is the shortest route. In addition, this combination of algorithms is more efficient and simpler in terms of processing steps and computing time compared to using the Branch and Bound algorithm.Keywords: Traveling Salesman Problem (TSP), Branch and Bound, Cheapest Insertion Heuristic, Algorithm Combination, Optimal.

Model Kontrol Pada Ekosistem Perkebunan Teh Diana, Arista Fitri; Romadan, Gilang; Khumaeroh, Mia Siti; Aulia, Lathifatul; Iktiyar, Zakaria Bani
Square : Journal of Mathematics and Mathematics Education Vol. 6 No. 2 (2024)
Publisher : UIN Walisongo Semarang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.21580/square.2024.6.2.23274

Tea plants are one of the commodities in Indonesia. In their development, the plantation ecosystem is heavily influenced by several factors, both internal and external factors. In the field of applied mathematics, mathematical modelling can be used to analyze the development of tea plant growth and their interaction each othe in their ecosystem. The mathematical model in this research is combining three main models, there are logistic model, epidemiological model, and predator prey model by adding fungicide and insecticide controls. Furthermore, local stability analysis is carried out and the optimal control problem is solved by Pontryagin maximum principle. The results of the analysis obtained five equilibrium points. Local stability analysis was carried out using the Routh Hurwitz criteria which showed the fifth equilibrium point is locally asymptotically stable. The basic reproduction number in the model is 0,99. Because it can be concludeed that there is no spread of disease in the tea plantation ecosystem after a period of 5 years. The control provided can reduce pest and disease attacks. After being given control, the population of infected tea plants decreased by 93,21%, Empoasca pests decreased by 99,47%, and leaf roller caterpillars decreased by 99,31% compared to the model that was not given control.Keywords: Tea Plantation, Dynamical Model, Fungicide, Insecticide, Optimal Control.

Proses Penalaran Matematis Siswa SMP dalam Statistika Saminanto, Saminanto; Suwarno, Muji; Septianah, Septianah; Aistafania, Aistafania
Square : Journal of Mathematics and Mathematics Education Vol. 6 No. 2 (2024)
Publisher : UIN Walisongo Semarang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.21580/square.2024.6.2.23575

Mathematical reasoning is very important for students to master. This research aims to reveal students' mathematical reasoning processes in solving statistical problems. This research used a descriptive qualitative method involving 25 students from class VII-D of SMP Negeri 16 Semarang. The research instrument consists of mathematical problems related to statistics. Data collection was carried out through written tests and interviews. Data were analyzed by data reduction, data presentation, and drawing conclusions. The research results showed that 16% of students had high mathematical reasoning abilities, 72% of students had moderate mathematical reasoning abilities, and 12% of students had low mathematical reasoning abilities. Based on the results of interviews, the mathematical reasoning process of lower group students is hampered by the process of presenting mathematical statements verbally, drawings, sketches or diagrams; make allegations; checking the validity of an argument; and students' lack of understanding of mathematical concepts. The implications of the findings in this research can be used as a reference for developing appropriate learning strategies to overcome students' difficulties in the mathematical reasoning process. Keywords: reasoning process, mathematics, statistics.

Perbandingan MAPE Metode Arima dan FTS Chen pada Peramalan Harga Minyak Mentah Widuri di Indonesia Ikhtiyar, Zakaria Bani; Sulistijanti, Wellie; Sari, Silvia Novita; Mahiruna, Adiyah
Square : Journal of Mathematics and Mathematics Education Vol. 6 No. 2 (2024)
Publisher : UIN Walisongo Semarang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.21580/square.2024.6.2.23579

The need for crude oil greatly affects economic activities on a micro and macro scale. Indonesia is one of the countries that produces crude oil, although the amount produced is not as large as countries in the Middle East. The global price of crude oil has a direct impact on Indonesia's rising fuel prices. To find out the world price of crude oil in the future, forecasting can be done. Widuri type crude oil is one of the crude oils that is a priority in Indonesia. This study compares the accuracy of forecasting the price of Widuri type crude oil with the MAPE accuracy calculation method and the forecasting method compared is the ARIMA method with the FTS Chen method.Keywords: forecasting, Oil, ARIMA, Fuzzy Time Series (FTS) Chen.

Prediksi Harga Saham Syariah dengan Triple Exponential Smoothing Multiplicative Sofiyati, Noor; Saputro, Isnu Aji; Puspita, Dian
Square : Journal of Mathematics and Mathematics Education Vol. 6 No. 2 (2024)
Publisher : UIN Walisongo Semarang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.21580/square.2024.6.2.23602

The prediction of sharia stock prices is currently an important concern for investors who want to invest according to Islamic principles. Investors generally invest to achieve profits, which are measured by the magnitude of returns or the rate of return on those sharia-compliant stocks. However, there is also a risk of loss if the investor makes the wrong decision. Often, investors simply guess whether the stock price will go up or down. In sharia stock analysis, accurate forecasting techniques are needed to help investors minimize risk and maximize potential returns. This research aims to predict the stock price of Bank Syariah Indonesia (BRIS. JK), which is one of the sharia stocks highly sought after by stock investors. The prediction for the next year is conducted using the multiplicative triple exponential smoothing method as a guide for investors in decision-making. This method was chosen because of its ability to capture seasonal patterns and trends based on historical stock data. The forecasting results show that the price of BRIS.JK shares will continue to rise over the next year. This provides valuable information for investors to consider investing in that stock. Keywords: predictions, sharia shares, triple exponential smoothing.

Dimensi Metrik pada Graf Hasil Operasi Join pada Graf Lengkap dan Graf Tangga Rahmadi, Deddy; Febriantono, Awal; Mufidah, Nurul; Hidayati, Tsalis Wifqi; Alisyah, Maulidatu Jauharoti
Square : Journal of Mathematics and Mathematics Education Vol. 7 No. 1 (2025)
Publisher : UIN Walisongo Semarang

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The metric dimension of a graph is defined as the minimum cardinality of a resolving set of the graph. This study aims to determine the metric dimension of graphs obtained from the join operation between a complete graph and a ladder graph. The analysis begins by determining the metric dimensions of the constituent graphs, namely the complete graph K_n and the ladder graph L_m. Furthermore, the metric dimension of the graph resulting from the join operation K_n + L_m is investigated. The results show that the metric dimension of the complete graph K_n is n-1, the metric dimension of the ladder graph L_m is 2, and the metric dimension of the graph K_n+L_m is n+1.

Optimizing Industrial Policy: Predicting Population Growth in Kediri Regency Using Mathematical Equations Surur, Agus Miftakus; Diana, Dinda Fatikhatut; Fahma, Farisa Aina; Laili, Eva Alvi Nur; Anggraini, Atika; Arifin, Syamsul; Chuquin, Ector Geovanny Pupiales
Square : Journal of Mathematics and Mathematics Education Vol. 7 No. 1 (2025)
Publisher : UIN Walisongo Semarang

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The purpose of this study is to predict the population of Kediri Regency in the year 2030. Kediri Regency was selected because the region hosts an industry with national and international scale. The research method employed in this study is a literature-based approach utilizing population data obtained from the official website of the Government of Kediri Regency. The modeling approach applied is based on differential equations, specifically the Bernoulli growth model. The result of this study shows that the predicted population of Kediri Regency in 2030 is 1,590,753 people. When compared to the population in 2020, this result indicates a decrease of 44,541 people. Nevertheless, the predicted population remains relatively high, so when linked to government policy, several adjustments are required, similar to those implemented during the period from 2010 to 2020. The results of this study are important for the regency government as a basis for formulating policies, particularly in the industrial sector. Regions that develop as industrial areas require data-based planning, so the results of mathematical equation calculations can be used as objective references. Through appropriate policies, it is expected that local communities, especially local residents, can work and build their careers within their own region. Thus, the potential of local human resources can be maintained and utilized optimally. In addition, this study can also be applied by researchers or local governments in other regions to predict population size and adjust policies according to the conditions of their communities.

Analisis Dinamika Angka Pernikahan Menggunakan Metode Triple Exponential Smoothing (Studi Kasus KUA Kecamatan Sokaraja, Kabupaten Banyumas Tahun 2025) Sari, Novita; Tengger, Billy Arifa; Kartika, Dwiani Listya
Square : Journal of Mathematics and Mathematics Education Vol. 7 No. 1 (2025)
Publisher : UIN Walisongo Semarang

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ABSTRAK Pernikahan merupakan proses sakral dan memiliki signifikansi besar pada kehidupan manusia. Beberapa diantaranya adalah meningkatkan stabilitas ekonomi melalui penggabungan sumber daya dan pendapatan suami dan istri, mengurangi angka pergaulan bebas yang merusak masa depan, dan data pernikahan dapat digunakan oleh pemerintah untuk mempersiapkan kebijakan kependudukan, struktur demografi dan perencanaan pembangunan daerah. Namun dalam lima tahun terakhir tren penurunan angka pernikahan di Kecamatan Sokaraja Kabupaten Banyumas cukup signifikan. Diantara faktor-faktor yang mempengaruhi penurunan angka pernikahan tersebut adalah meningkatnya kemandirian ekonomi perempuan, tingginya tingkat pendidikan, tingginya kesadaran akan pentingnya kesiapan mental dan finansial sebelum menikah dan sebagainya. Oleh karena itu, penting bagi pemerintah dan KUA Kecamatan sokaraja untuk memahami dan menentukan suatu kebijakan yang mendukung keseimbangan antara pembangunan ekonomi, sosial dan keluarga dengan melakukan suatu peramalan. Peramalan ini bertujuan memberikan nilai ramalan angka pernikahan yang terjadi pada periode mendatang. Pada penelitian ini, menggunakan metode Triple Exponential Smoothing dengan nilai konstanta alpha yang digunakan adalah sebesar 0,1. Pengujian ini menghasilkan nilai ramalan angka pernikahan di tahun 2025 adalah sejumlah 374 dengan nilai MAPE sebesar 41%, yang menunjukkan bahwa tingkat kesalahan peramalan relatif tinggi, namun masih berada dalam rentang yang dapat diterima untuk menggambarkan pola dan kecenderungan perubahan angka pernikahan pada periode mendatang. ABSTRACT Marriage is a sacred process and has great significance in human life. Some of them are increasing economic stability through the pooling of resources and income of husband and wife, reducing the rate of promiscuity that damages the future, and marriage data can be used by the government to prepare population policies, demographic structures and regional development planning. However, in the last five years, the trend of decreasing marriage rates in Sokaraja District, Banyumas Regency has been quite significant. Among the factors that affect the decline in the marriage rate are the increase in women's economic independence, the high level of education, the high awareness of the importance of mental and financial readiness before marriage and so on. Therefore, it is important for the government and the KUA of Sokaraja District to understand and determine a policy that supports a balance between economic, social and family development by conducting a forecast. This forecast aims to provide a predictive value of the number of marriages that occur in the coming period. In this study, the Triple Exponential Smoothing method was used with an alpha constant value of 0.1. The forecasting results indicate that the projected number of marriages in 2025 is 374, with a Mean Absolute Percentage Error (MAPE) of 41%, indicating that the forecasting error is relatively high; however, it remains within an acceptable range for describing patterns and trends in changes in marriage rates in future periods.

Analisis Kemampuan Komunikasi Matematis Siswa dalam Menyelesaikan Permasalahan Kontekstual Berdasarkan Gender Kelas VIII-G SMPN 23 Semarang Rachmawati, Dewi; Rohman, Ahmad Aunur; Norasia, Yolanda
Square : Journal of Mathematics and Mathematics Education Vol. 7 No. 1 (2025)
Publisher : UIN Walisongo Semarang

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Mathematical communication skills are the basic ability to formulate initial concepts in solving mathematical problems. The level of mathematical communication skills can be influenced by various factors, one of which is gender. This study used a qualitative method through a descriptive approach, with the aim of describing the mathematical communication skills of class VIII-G students at SMPN 23 Semarang based on gender. Data were obtained through tests, questionnaires, and interviews. The results showed that students in the masculine, feminine, and androgynous categories mastered mathematical communication skills. Students with masculine and androgynous genders had the same understanding of all mathematical communication skill indicators used, while students with feminine genders failed to master any of the mathematical communication skill indicators used. The difference in mastery of mathematical communication skill indicators between masculine and androgynous students and feminine students lies in forming mathematical models through pictorial illustrations.

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Prihadi Kurniawan

Contact Email
square@walisongo.ac.id

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+6285642615299

Journal Mail Official
square@walisongo.ac.id

Editorial Address
Jurusan Matematika, Fakultas Sains dan Teknologi, UIN Walisongo Semarang Jalan Prof. Dr. Hamka Kampus II Ngaliyan, Semarang 50185

Location
Kota semarang,

Jawa tengah

INDONESIA

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Home Page

OAI Link

Editorial Team

Contact

Reviewer

Google Scholar

Contact Name Prihadi Kurniawan

Contact Email square@walisongo.ac.id

Phone +6285642615299

Journal Mail Official square@walisongo.ac.id

Editorial Address Jurusan Matematika, Fakultas Sains dan Teknologi, UIN Walisongo Semarang Jalan Prof. Dr. Hamka Kampus II Ngaliyan, Semarang 50185

Location Kota semarang, Jawa tengah INDONESIA

Abstract

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Abstract

Abstract

Abstract

Abstract

Abstract

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Abstract

Contact Name
Prihadi Kurniawan

Contact Email
square@walisongo.ac.id

Phone
+6285642615299

Journal Mail Official
square@walisongo.ac.id

Editorial Address
Jurusan Matematika, Fakultas Sains dan Teknologi, UIN Walisongo Semarang Jalan Prof. Dr. Hamka Kampus II Ngaliyan, Semarang 50185

Location
Kota semarang,

Jawa tengah

INDONESIA