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Journal : KADIKMA

PEWARNAAN GRACEFUL PADA GRAF HASIL OPERASI COMB GRAF SIKLUS DAN GRAF STAR Waluyo, Eko; Wahab, Abdul Aziz; Rudi, Mohammad
Kadikma Vol 14 No 1: April 2023
Publisher : Department of Mathematics Education , University of Jember

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.19184/kdma.v14i1.38552

Abstract

Penelitian ini merupakan jenis penelitian eksploratif dengan menggunakan metode deduktif aksiomatik dan metode pendeteksi pola. Penelitian ini bertujuan untuk mengetahui pewarnaan graceful dan bilangan kromatik pada graf siklus comb graf star. Dari penelitian ini ditemukan satu teorema baru yang terdiri dari tiga kasus mengenai bilangan kromatik graceful pada graf siklus comb graf star.
The METRIC COLORING OF RELATED WHEEL GRAPHS Waluyo, Eko
Kadikma Vol 13 No 3 (2022): Desember 2022
Publisher : Department of Mathematics Education , University of Jember

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.19184/kdma.v13i3.36894

Abstract

In this paper, graphs are finite and connected graph. Let be a vertex coloring of a graph G where two adjacent vertices may be colored the same color. Consider the color classes . For a vertex , representation color of v is the k-vector , where . If for every two adjacent vertices u and v of G, then f is called a metric coloring of G. The minimum k for which G has a metric k-coloring is called the metric chromatic number of G and is denoted by . In this paper, we study the metric chromatic numbers of related wheel graphs namely double wheel graph, web graph, friendship graph and helm graph.
BILANGAN KROMATIK GRACEFUL PADA SUBDIVISI GRAF SIKLUS COMB GRAF STAR Waluyo, Eko; Wisudaningsih, Endah Tri; Masruro, Masruro
Kadikma Vol 14 No 1: April 2023
Publisher : Department of Mathematics Education , University of Jember

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.19184/kdma.v14i1.38551

Abstract

Pewarnaan graceful merupakan kombinasi antara konsep graceful dan pewarnaan simpul. Pewarnaan graceful dilakukan dengan meminimalkan warna simpul dan sisi secara tepat. Sedangkan warna sisi diperoleh dari pewarnaan simpul yang bertetangga. Penelitian ini bertujuan untuk mengetahui pewarnaan graceful dan bilangan kromatik pada graf siklus comb graf star. Penelitian ini merupakan jenis penelitian eksploratif dengan menggunakan metode deduktif aksiomatik dan metode pendeteksi pola. Dari penelitian ini ditemukan satu teorema baru yang terdiri dari tiga kasus mengenai pewarnaan graceful pada graf siklus comb graf star.
The Development of Geometry recreation in the form of Math Maze and Learning Equipment Circle Subject on 8th Grade Junior High School Waluyo, Eko
Kadikma Vol 15 No 2 (2024): Agustus 2024
Publisher : Department of Mathematics Education , University of Jember

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.19184/kdma.v15i2.47431

Abstract

The aim of this research is to develop recreational geometry in the form of Math Maze and learning tools for Circle material. The development model used is the Plomp Development Model. The test subjects were Class VIII students at Argopuro Panti Middle School, Jember, academic year 2023/2024. The product developed obtained an average validation score of 3.24 and was included in the valid category, student activity was obtained on average 93.5% which was included in the very active category and from the student response questionnaire, it was obtained that 98% of students were very happy with learning-based learning. recreational geometry in the form of Math Maze. It can be said that the product developed is valid and practical Key words: recreational geometry, circles, teaching modules, LKPD
UTILIZATION OF LINGO APPLICATION IN OPTIMIZING SNACKS USING LINEAR PROGRAM: PEMANFAATAN APLIKASI LINGO DALAM OPTIMALISASI MAKANAN RINGAN MENGGUNAKAN PROGRAM LINEAR Djeni, Darwin; Waluyo, Eko; Hasanah, Husnul
Kadikma Vol. 15 No. 3 (2024): Desember 2024
Publisher : Department of Mathematics Education , University of Jember

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.19184/kdma.v15i3.53710

Abstract

Micro-enterprises in the snack food sector often face various challenges, including limited raw materials, high production costs, and fluctuating market demand. This study aims to optimize the production of snack foods such as sausage corndogs, cheese corndogs, and chocolate banana rolls (piscok) through the application of linear programming using the LINGO software. The research employs a quantitative descriptive approach with field observations conducted on the researcher’s own business located in Bulang Village, Probolinggo Regency. A mathematical model was developed by taking into account real-world constraints such as production capacity and raw material availability, with the goal of maximizing profit. The analysis using LINGO indicates that the optimal production combination consists of 20 sausage corndogs, 5 cheese corndogs, and 20 piscok per day, resulting in a maximum daily profit of IDR 75,000. These findings suggest that the use of LINGO software can significantly assist micro-entrepreneurs in managing resources more efficiently and enhancing the profitability of snack food businesses.