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Bilangan Terhubung Titik Pelangi pada Graf Garis, Graf Tengah, dan Graf Total dari Graf Panci Jusuf, Anryan; Nurwan, Nurwan; Yahya, Nisky Imansyah; Yahya, Lailany; Nasib, Salmun K.; Asriadi, Asriadi
Hexagon: Jurnal Ilmu dan Pendidikan Matematika Vol. 2 No. 2 (2024): October
Publisher : LPPM Universitas Terbuka

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.33830/hexagon.v2i2.10000.

Abstract

Salah satu konsep dalam bidang teori graf yang berkaitan erat dengan pewarnaan titik pelangi adalah bilangan terhubung titik pelangi. Sebuah graf G dikatakan terhubung titik pelangi jika terdapat setidaknya satu jalur yang menghubungkan titik-titik dengan warna yang berbeda. Konsep ini mengacu pada jumlah minimum warna yang dibutuhkan untuk mewarnai sebuah graf G sehingga graf tersebut terhubung dengan titik pelangi dan dilambangkan dengan rvc(G). Topik pewarnaan titik pelangi dapat dieksplorasi dalam berbagai bentuk pengembangan graf dengan memanfaatkan graf garis, graf tengah dan graf total. Graf garis L(G) adalah graf yang titik-titiknya merupakan sisi-sisi dari G, dan jika u, v ≥ E(G) maka uv ≥ E(L(G)) sedemikian sehingga u dan v saling berbagi titik di G. Graf tengah M(G), merupakan sebuah graf dengan himpunan titiknya merupakan gabungan antara kumpulan titik dan kumpulan sisi dari graf G. Sedangkan graf total T(G), yaitu graf yang titiknya didapatkan dari himpunan titim dan himpunan sisi dari graf G, dimana setiap titik V(G)saling terhubung. Pada penelitian ini, saya membahas bilangan terhubung titik pelangi yang terhubung pada graf garis, graf tengah dan graf total dari graf panci (Pnm) dengan m ≥ 6. Berdasarkan hasil yang diperoleh, didapatkan teorema bilangan terhubung titik pelangi pada graf garis dari graf panci rvc(L(Pn_m)), graf tengah dari graf panci rvc(M(Pn_m)), dan graf total dari graf panci rvc(T(Pn_m)).
PENINGKATAN KOMPETENSI GURU DALAM MENGINTEGRASIKAN NUMERASI PADA KEGIATAN PEMBELAJARAN Nurwan, Nurwan; Yahya, Lailany; Badu, Syamsu Qamar
PAKEM : Jurnal Pengabdian Kepada Masyarakat Vol 5 No 1 (2025): Pakem : Jurnal Pengabdian Kepada Masyarakat
Publisher : Universitas Pattimura

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30598/pakem.5.1.1-7

Abstract

This study focuses on enhancing the competency of primary school teachers in integrating numeracy into learning activities across subjects. Numeracy literacy is a vital 21st-century skill essential for personal and professional decision-making. The training, conducted as part of a community service program, aimed to provide teachers with practical strategies for integrating numeracy into both mathematics and non-mathematics lessons. The methods involved workshops featuring lectures, discussions, and interactive group activities, emphasizing the development of teaching materials that connect numeracy to real-world applications. Evaluation through questionnaires revealed high participant satisfaction, with 87.5% rating the training as excellent. The findings underscore the significance of teacher competence in advancing student numeracy skills and highlight the need for continued professional development in this area
Bilangan Terhubung Pelangi pada Graf Tengah dari Graf Ilalang Rauf, Dewi Nur Angriani; Achmad, Novianita; Yahya, Nisky Imansyah; Nurwan, Nurwan; Nasib, Salmun K.; Asriadi, Asriadi
Jurnal Riset Mahasiswa Matematika Vol 4, No 4 (2025): Jurnal Riset Mahasiswa Matematika
Publisher : Mathematics Department, Maulana Malik Ibrahim State Islamic University of Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.18860/jrmm.v4i4.31475

Abstract

Bilangan terhubung pelangi yang dinotasikan dengan adalah jumlah warna terkecil yang diperlukan untuk mewarnai sisi-sisi dari sebuah graf  sehingga graf tersebut menjadi terhubung pelangi. Bilangan terhubung pelangi dapat dipelajari dalam berbagai bentuk pengembangan graf yang dimodifikasi, termasuk graf tengah.  Semua jenis graf, baik yang sederhana maupun yang kompleks, dapat direpresentasikan sebagai graf tengah. Sebuah graf tengah yang dinotasikan dengan  dibentuk dari sebuah graf dan didefinisikan sebagai . Dua buah simpul pada  bersisian jika dan hanya jika keduanya bersisian dengan sebuah sisi pada , atau salah satu simpul pada  bersisian dengan sebuah sisi pada . Penelitian ini membahas tentang pewarnaan pelangi pada graf tengah dari graf ilalang  dengan  dan  Berdasarkan penelitian diperoleh teorema pelangi bilangan terhubung pada graf tengah graf ilalang untuk 
PENERAPAN METODE MATRIX TRANSPORTASI BOWMAN UNTUK MEMINIMUMKAN BIAYA PADA PERENCANAAN PRODUKSI Paudi, Rivka; Nurwan, Nurwan; Payu, Muhammad Rezky Friesta
Jurnal Edukasi dan Sains Matematika (JES-MAT) Vol. 9 No. 1 (2023): Jurnal Edukasi dan Sains Matematika (JES-MAT)
Publisher : Department of Mathematics Education, Universitas Kuningan

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.25134/jes-mat.v9i1.6571

Abstract

Istana Coklat Bakery, one of the bread industries in Gorontalo, produces two types of products, namely birthday cake and cake. Production planning in the istana Coklat Bakery begins with forecasting demand using double moving average method to production cost data, and production costs as variables that will be counted in the Bowman Transportation Matrix. based on the research results, obtained that the production process was fulfilled for regular production and overtime production using the Bowman Transportation Matrix method.  The total cost obtained from production planning using the Bowman transportation matriks method is IDR 864,437,500.
MENINGKATKAN PEMAHAMAN KONSEP PADA MATERI STATISTIKA DENGAN MEDIA PEMBELAJARAN VIDEO INTERAKTIF PADA SISWA KELAS VIII SMP NEGERI 4 LIMBOTO Abdulah, Siska; Hulukati, Evi; Nurwan, Nurwan; Ismail, Yamin; Zakiyah, Siti
Jurnal Edukasi dan Sains Matematika (JES-MAT) Vol. 9 No. 1 (2023): Jurnal Edukasi dan Sains Matematika (JES-MAT)
Publisher : Department of Mathematics Education, Universitas Kuningan

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.25134/jes-mat.v9i1.6665

Abstract

This study aims to increase students' understanding of concepts using interactive video learning media on statistical material. The type of research used is classroom action and is carried out at SMP Negeri 4 Limboto in the even semester of the 2021-2022 academic year. The subjects of this study were 28. The assessments used in the study were teacher and student observation sheets and concept understanding tests. This research was conducted in 2 cycles. The average percentage of teacher observations from cycles I and II reached 70.8% and 80.8%, resulting in an increase of 10%. Furthermore, the average percentage of student observations reached 67.5% and 81.25% so that there was an increase of 13.75%. The results of the student's concept understanding test also increased from 64.29% to 82.14%. In cycle II, all aspects assessed have reached the indicators of learning success by using interactive video learning media
A MODEL ARCH(1) DAN GARCH(1,1) PADA PERAMALAN HARGA SAHAM PT. COWELL DEVELOPMENT Tbk. Bilondatu, Rosna Ningsih; Nurwan, Nurwan; Isa, Dewi Rahmawaty
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 13 No 1 (2019): BAREKENG: Jurnal Ilmu Matematika dan Terapan
Publisher : PATTIMURA UNIVERSITY

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (200.762 KB) | DOI: 10.30598/barekengvol13iss1pp009-018ar676

Abstract

Penelitian ini memfokuskan pada peramalan harga saham PT. Cowell Development Tbk. menggunakan data pada Januari 2013 sampai Desember 2016. Hasil analisis diperoleh model terbaik adalah model ARIMA(2,1,12). Hasil pengujian asumsi residual white noise menggunakan uji Ljung-Box menunjukkan bahwa model ARIMA(2,1,12) merupakan residual white noise. Hasil uji ARCH-LM menunjukkan data mengandung efek heteroskedastisitas atau unsur ARCH. Model yang diajukan dalam penelitian ini adalah ARCH(1) dan GARCH(1,1). Nilai AIC dan BIC terkecil dari dua model ini adalah ARCH(1). Model ARIMA(2,1,12) dengan residual ARCH(1) merupakan model terbaik untuk meramalkan saham PT. Cowel Development Tbk. Penerapan model ARCH(1) untuk meramalkan harga saham PT. Cowel Development Tbk selama 10 hari periode 2013-2016, menunjukkan bahwa peramalan sudah mendekati data faktual dengan nilai MAPE sebesar 0,043%. Hal ini memberikan indikasi hasil peramalan sudah mendekati data faktual.
ANALISIS KESTABILAN MODEL PENYEBARAN PENGGUNA NARKOBA DENGAN FAKTOR EDUKASI Husain, Moh Rizal; Nurwan, Nurwan; Resmawan, Resmawan
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 14 No 1 (2020): BAREKENG: Jurnal Ilmu Matematika dan Terapan
Publisher : PATTIMURA UNIVERSITY

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (803.02 KB) | DOI: 10.30598/barekengvol14iss1pp069-078

Abstract

This article discusses the model of drug addicts with education. The analysis begins by constructing the model. Next, the equilibrium point and its stability conditions are determined, and numerical simulation is given at the end. Two equilibrium points obtained, those are the drug-addicts free equilibrium point and the drug-addicts endemic equilibrium point. Then the basic reproduction number ( ) as the expected value of infection per unit time is determined using the Next Generation Matrix approach. Based on the numerical simulation, every population is stable near to the drug-free equilibrium point at , means the population of the drug-addict constantly decrease and on a certain condition will be non-existent, and stable around to drug-endemic equilibrium point at , means the drug-addict population will constantly increase so the drug epidemic occurred. Through the numerical simulation, the biggest education is given, the more population susceptible to education increase which caused the number population of susceptible without education decrease.
PEMODELAN REGRESI SPASIAL DEPENDENSI PADA TINGKAT PARTISIASI ANGKATAN KERJA DI INDONESIA TAHUN 2020 Usali, Rahmayunda; Nurwan, Nurwan; Oroh, Franky Alfrits; Payu, Muhammad Rezky Friesta
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 15 No 4 (2021): BAREKENG: Jurnal Ilmu Matematika dan Terapan
Publisher : PATTIMURA UNIVERSITY

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (1128.247 KB) | DOI: 10.30598/barekengvol15iss4pp687-696

Abstract

This study discusses the regression modeling with spatial dependence to determine the factors affecting the labor force participation rate in Indonesia 2020. The spatial regression models used in this study are spatial Autoregressive Model (SAR) and Spatial Error Model (SEM), The finding concludes that the SAR model is better used in spatial modeling. At the same time, provincial minimum wage, the average length of school or educational level, and population are factors that affect the labor force participation rate in Indonesia 2020.
MAX-PLUS ALGEBRA MODEL ON INAPORTNET SYSTEM SHIPS SERVICE SCHEME Nurwan, Nurwan; F. Payu, Muhammad Rezky
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 16 No 1 (2022): BAREKENG: Jurnal Ilmu Matematika dan Terapan
Publisher : PATTIMURA UNIVERSITY

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (735.991 KB) | DOI: 10.30598/barekengvol16iss1pp147-156

Abstract

Queues are often found in public service providers, including port services. Therefore, the InaPortNet scheme was developed to facilitate and minimize queues in and out of ships. Also, service performance was optimized through behavior analysis and queuing system stability. This study focused on designing the max-plus algebra model and time estimation on the incoming ship service scheme. The results showed that the InaPortNet system is useful for modeling. Furthermore, the max-plus algebra matrix is used to obtain an estimated service time from registration to the ship docking process at the port. However, further study needs to be carried out by scheduling the max-plus algebraic matrix in order to analyze the behavior and stability of the queuing system
RAINBOW VERTEX-CONNECTION NUMBER ON COMB PRODUCT OPERATION OF CYCLE GRAPH (C_4) AND COMPLETE BIPARTITE GRAPH (K_(3,N)) Yahya, Nisky Imansyah; Fatmawati, Ainun; Nurwan, Nurwan; Nasib, Salmun K
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 17 No 2 (2023): BAREKENG: Journal of Mathematics and Its Applications
Publisher : PATTIMURA UNIVERSITY

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30598/barekengvol17iss2pp0673-0684

Abstract

Rainbow vertex-connection number is the minimum colors assignment to the vertices of the graph, such that each vertex is connected by a path whose edges have distinct colors and is denoted by . The rainbow vertex connection number can be applied to graphs resulting from operations. One of the methods to create a new graph is to perform operations between two graphs. Thus, this research uses comb product operation to determine rainbow-vertex connection number resulting from comb product operation of cycle graph and complete bipartite graph & . The research finding obtains the theorem of rainbow vertex-connection number at the graph of for while the theorem of rainbow vertex-connection number at the graph of for for .