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Locating Metric Coloring on The Cherry Blossom, Sun Flower and Closed Dutch Windmill Graphs Arika Indah Kristiana; Agustina Hotimatus Khusnul; Dafik Dafik
CAUCHY: Jurnal Matematika Murni dan Aplikasi Vol 10, No 2 (2025): CAUCHY: JURNAL MATEMATIKA MURNI DAN APLIKASI
Publisher : Mathematics Department, Maulana Malik Ibrahim State Islamic University of Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.18860/cauchy.v10i2.33636

Abstract

Locating metric coloring is a variation of metric coloring in graphs that integrates vertex coloring with the uniqueness of metric representations. In this coloring, each vertex in a connected graph  is assigned a color such that the distance vectors to each color class are distinct for every pair of different vertices. Let  be a coloring function (not necessarily proper). The coloring ccc is called a locating metric coloring if, for any two distinct vertices , their distance vectors , so it is obtained represents the partition of vertices by color classes. Thus, for every vertex, the distance vector  are different. Vertices may share the same color, whether adjacent or not, as long as their metric representations are unique. The smallest number of colors required for such a coloring is called the locating metric chromatic number, denoted  T This study focuses on analyzing locating metric coloring for three specific graphs: the Cherry Blossom graph , the Sun Flower graph , and the Closed Dutch Windmill graph . These graphs were chosen due to the absence of prior research on their locating metric coloring properties. The research method combines pattern recognition and a deductive-axiomatic approach. The proof process begins by determining lower bounds, followed by the construction of upper bounds through coloring function analysis. The resulting locating metric chromatic numbers for each graph are then established.
Analysis of Resolving Efficient Dominating Set and Its Application Scheme in Multi-Step Time Series Forecasting of pH and Soil Moisture in Horizontal Farming Kamal Dliou; Adinda Putri Aziza; Dafik Dafik; Arika Indah Kristiana; Dwi Agustin Retnowardani
CAUCHY: Jurnal Matematika Murni dan Aplikasi Vol 10, No 1 (2025): CAUCHY: JURNAL MATEMATIKA MURNI DAN APLIKASI
Publisher : Mathematics Department, Maulana Malik Ibrahim State Islamic University of Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.18860/cauchy.v10i1.29960

Abstract

This research focuses on the analyzing the Resolving Efficient Dominating Set (REDS) and its application scheme in horizontal farming using the Spatial Temporal Graph Neural Network (STGNN). Soil moisture and pH are crucial factors that affect the growth and yield, as they directly impact productivity and plant health. In cases where soil moisture and pH are lacking, various types of companion planting need to be watered. In such planting systems, a central role is needed to monitor soil moisture and pH levels effectively. The placement of operators in this system requires the application of mathematical concepts, specifically graph theory. In this study, we explore graph theory, particularly the Resolving Efficient Dominating Set. This involves ensuring that each vertex  is dominated by exactly one vertex in D, with no adjacent with another vertex, and the representation of vertex  concerning  is not the same. To effectively address this issue, including soil moisture and pH data, is required to predict future soil moisture and pH values in companion farming. Spatial Temporal Graph Neural Network (STGNN) technique proves to be useful in solving the problem of soil moisture and pH by understanding and modeling multi-step time series data. This technique aids in effectively managing and optimizing horizontal farming.
The Correlation of Junior High School Students’ Self-Confidence and Mathematical Problem-Solving Ability Lioni Anka Monalisa; Arika Indah Kristiana; Edy Wihardjo; Saddam Hussen; Fiorent Annastasia Putri
Mosharafa: Jurnal Pendidikan Matematika Vol. 13 No. 4 (2024): October
Publisher : Department of Mathematics Education Program IPI Garut

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31980/mosharafa.v13i4.1692

Abstract

Abstrak Kemampuan pemecahan masalah matematis merupakan salah satu kompetensi penting yang harus dimiliki oleh siswa, dan kepercayaan diri diyakini memiliki kontribusi signifikan terhadap pencapaiannya. Penelitian ini bertujuan untuk mengetahui hubungan antara kepercayaan diri (self-confidence) dan kemampuan pemecahan masalah matematis siswa SMP. Penelitian ini menggunakan metode kuantitatif dengan desain korelasional. Subjek penelitian adalah 87 siswa kelas VIII di SMP Negeri 12 Jember pada semester genap tahun ajaran 2023/2024. Data dikumpulkan melalui angket kepercayaan diri dan tes kemampuan pemecahan masalah matematis. Berdasarkan analisis deskriptif, nilai rata-rata kepercayaan diri siswa adalah 96,08 dengan kategori dominan berada pada tingkat sedang (74,71%). Hasil analisis korelasi menunjukkan terdapat hubungan yang positif antara kepercayaan diri dan kemampuan pemecahan masalah matematis. Kesimpulan dari penelitian ini adalah semakin tinggi tingkat kepercayaan diri siswa, maka semakin baik kemampuan mereka dalam menyelesaikan soal-soal matematika secara problematis. Implikasi dari temuan ini menunjukkan pentingnya strategi pembelajaran yang tidak hanya fokus pada aspek kognitif, tetapi juga afektif siswa, seperti penguatan rasa percaya diri guna mendukung keberhasilan akademik, khususnya dalam pembelajaran matematika. Abstract Mathematical problem-solving ability is one of the essential competencies students must possess, and self-confidence is believed to significantly contribute to its achievement. This study aims to determine the correlation between self-confidence and junior high school students’ mathematical problem-solving ability. The research employed a quantitative method with a correlational design. The subjects were 87 eighth-grade students at SMP Negeri 12 Jember during the even semester of the 2023/2024 academic year. Data were collected through a self-confidence questionnaire and a mathematical problem-solving test. Based on descriptive analysis, the average self-confidence score was 96.08, with the majority (74.71%) falling into the average category. The results of the correlation analysis showed a positive relationship between self-confidence and mathematical problem-solving ability. The conclusion of this study indicates that the higher the level of students’ self-confidence, the better their ability to solve mathematical problems. The implications of these findings highlight the importance of learning strategies that focus not only on cognitive aspects but also on students’ affective domains, such as enhancing self-confidence to support academic success, particularly in mathematics learning.
Co-Authors Abi Suwito Adinda Putri Aziza Afni, Anis Nur Agatha, Alvian Bagus Agustina Hotimatus Khusnul Ahmad Aji Aima, Muslihatul Aji, Ahmad Arif Fatahillah Arifandi, Agus Asari, Okta Endri Asy’ari, Muhammad Lutfi Azizah, Zakiyah Lina Nur A’yun, Qurrotul Bunga Ayu Desy Permatasari, Bunga Ayu Cahyadewi, Karina Cindy Cici Fitri Lestari, Cici Fitri D Dimas, D D. Dafik Dafik Deddy Setiawan Deddy Setiawan Desi Febriani Putri Devira Ayu Nurandari, Devira Ayu Dewi Santi, Dewi Dewi, Ernita Sukarno Dian Kurniati Didik Sugeng Pambudi Dimas Ardiansyah Ramadhan Dinar Dwi Yuliyanti Dinawati Trapsilasiwi Dwi Agustin Retnowardani Dwi Roby Pramono Dwi Sylvia Hanafi Edy Wihardjo Eka Cahya Lestari, Eka Cahya Eka Wulandari Fauziah, Eka Wulandari Eko Gunariyanto Elsa Yuli Kurniawati Ema Desia Prajitiasari Erica Dian P Ermita Rizki Albirri Ernita Sukarno Dewi, Ernita Fihrisi, Fathan Fiorent Annastasia Putri Frenza Fairuz Firmansyah Hobri I Made Tirta Intan Nurul Awwaliyah Islamiah, Maulidi Arsih Umaroh Ja'far, Muhammad Jatmiko, Dhanar Dwi Hary Kamal Dliou Karina Cindy Cahyadewi Karuniaji Fitra Insani Khilyah Munawaroh Kurniawati, Elsa Yuli Kusbudiono Kusbudiono, Kusbudiono Kusumawati, Nurita Lestari, Deninta Dwi Ayu Lestari, Nurcholif Diah Sri Lioni Anka Monalisa, Lioni Anka Lutfiana Ramadani Marmono Singgih Miftahul Jannah Mohammad Fadli Rahman Muhammad Gufronil Halim Muhammad Lutfi Asy’ari Muhammad Usaid Hudloir Murtini Murtini, Murtini Ningsih, Mirah Wahyu Niswatul Imsiyah Nur Safrida, Lela Nurbuono, Mousthapaa Nurcholif Diah Sri Lestari Nurina Anggun Ratnaningtyas Nuroeni, Ilmiatun Osman, Sharifah Prahastiwi, Lusi Rizzami Pratiwi, Alfiani Dyah Prihandini, Rafiantika M. Prihandini, Rafiantika Megahniah Pujiyanto, Arif Qurrotul A’yun Rafelita Faradila Sandi Rafiantika Megahnia Prihandini Rahmawati, Mira Randi Pratama Murtikusuma Ratna Dwi Christyanti, Ratna Dwi Retno Nur Khasanah Ridho Alfarisi, Ridho Ridlo, Zainur Rasyid Rizky Astarina, Rizky Robiatul Adawiyah Robiatul Adawiyah Rohini, A S Suharto S Sunardi S Susanto Sabna Setiawati Saddam Hussen Santoso, Aji Mansur Saputra, Guntari Setiawan, Renal Heldi Siddiqui, M. Kamran Siti Aisyah Slamin Sumani Sumani Surya Indriani Susanto Susanto Susanto, Arnis Budi Susanto, Susanto Susi Setiawani Syahputri, Vika Thoyibah, Fifi Tika Nurpitasari Titik Sugiarti Titin Kartini Toto Bara Setiawan Umi Azizah Anwar WIHARDJO, EDY Wirdah Pramita N Yanuarsih, Elly Zainur Rasyid Ridlo