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All Journal Jurnal Teknologi Reaktor Nuklir Tri Dasa Mega AKSIOMA: Jurnal Program Studi Pendidikan Matematika Edumatsains Jurnal RESTI (Rekayasa Sistem dan Teknologi Informasi) BAREKENG: Jurnal Ilmu Matematika dan Terapan Jurnal Teknologi Dan Sistem Informasi Bisnis Jurnal Pengabdian Masyarakat Mandira Cendikia (JPKM-MC) KREATIF: Jurnal Pengabdian Masyarakat Nusantara
Ana Muliyana
Institut Teknologi Del
Agriculture, Biological Sciences & Forestry Chemistry Computer Science & IT Control & Systems Engineering Decision Sciences, Operations Research & Management Economics, Econometrics & Finance Education Electrical & Electronics Engineering Energy Engineering Health Professions Law, Crime, Criminology & Criminal Justice Materials Science & Nanotechnology Mathematics Mechanical Engineering Physics Social Sciences Transportation Other

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THE METRIC DIMENSION OF CYCLE BOOK GRAPHS B_(C_(m,n) ) FORMED BY A COMMON PATH P_2 Santoso, Jaya; Darmaji, Darmaji; Muliyana, Ana; Saragih, Asido
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 20 No 2 (2026): BAREKENG: Journal of Mathematics and Its Application
Publisher : PATTIMURA UNIVERSITY

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30598/barekengvol20iss2pp1155-1166

Abstract

This paper investigates the metric dimension of a class of graphs known as cycle books, denoted ​, which feature a shared path ​ across multiple cycles. We focus on characterizing the minimum number of vertex subsets required so that each vertex in the graph can be uniquely identified by its distances to those subsets. To support our analysis, we present two propositions and a general theorem that establish the metric dimension for various configurations of cycle book graphs. Specifically, we prove that for , and for , while for . Furthermore, we provide a general result for : the metric dimension is when is odd and , or when is even and ; and when is odd and . These findings contribute to the growing body of knowledge on metric properties in graph theory, particularly in structured and cyclic graph families.This paper investigates the metric dimension of a class of graphs known as cycle books, denoted ​, which feature a shared path ​ across multiple cycles. We focus on characterizing the minimum number of vertex subsets required so that each vertex in the graph can be uniquely identified by its distances to those subsets. To support our analysis, we present two propositions and a general theorem that establish the metric dimension for various configurations of cycle book graphs. Specifically, we prove that for , and for , while for . Furthermore, we provide a general result for : the metric dimension is when is odd and , or when is even and ; and when is odd and . These findings contribute to the growing body of knowledge on metric properties in graph theory, particularly in structured and cyclic graph families.This paper investigates the metric dimension of a class of graphs known as cycle books, denoted ​, which feature a shared path ​ across multiple cycles. We focus on characterizing the minimum number of vertex subsets required so that each vertex in the graph can be uniquely identified by its distances to those subsets. To support our analysis, we present two propositions and a general theorem that establish the metric dimension for various configurations of cycle book graphs. Specifically, we prove that for , and for , while for . Furthermore, we provide a general result for : the metric dimension is when is odd and , or when is even and ; and when is odd and . These findings contribute to the growing body of knowledge on metric properties in graph theory, particularly in structured and cyclic graph families.
Application of Tahani Fuzzy Logic in Participant Selection for ONMIPA PT: A Case Study at Institut Teknologi Del Asido Saragih; Jaya Santoso; Ana Muliyana
EduMatSains : Jurnal Pendidikan, Matematika dan Sains Vol 9 No 2 (2025): January
Publisher : Fakultas Keguruan dan Ilmu Pendidikan, Universitas Kristen Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.33541/edumatsains.v9i2.6273

Abstract

This study investigates the preparation of students for the National Olympiad of Mathematics and Natural Sciences for Higher Education (ONMIPA PT), focusing on the selection process at Institut Teknologi Del (IT Del). The research applies the Tahani fuzzy logic method to select students who demonstrate potential across various mathematical disciplines such as Linear Algebra, Abstract Algebra, Real Analysis, Complex Analysis, and Combinatorics. By using fuzzy logic, students' performances are categorized into three levels: less, adequate, and good. The goal is to ensure a well-rounded selection of participants who can excel in all tested areas, rather than choosing those with the highest scores in individual topics. The results demonstrate that fuzzy logic improves decision-making in selecting participants for the competition. Additionally, the study highlights the broader implications of ONMIPA PT in enhancing educational quality and fostering scientific excellence. This research contributes to the development of selection methods for academic competitions, offering insights into the application of fuzzy logic in multi-stage decision-making processes.
Analysis of High School Students' Reasoning Ability in Solving Higher Order Thinking Skill Type Mathematics Problems Ana Muliyana; Asido Saragih; Jaya Santoso
EduMatSains : Jurnal Pendidikan, Matematika dan Sains Vol 10 No 2 (2025): October
Publisher : Fakultas Keguruan dan Ilmu Pendidikan, Universitas Kristen Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.33541/edumatsains.v10i2.6923

Abstract

This study investigates the mathematical reasoning abilities of high school students in North Sumatra who participated in the Del Mathematics and Science Competition (DMSC). Prior studies have revealed that students’ reasoning abilities are generally low; however, limited attention has been paid to their performance in competition-based settings. The purpose of this study is to assess the mathematical reasoning skills of students through higher-order thinking problems adapted from National Science Olympiad (OSN) materials. This research employed a qualitative descriptive method. The participants consisted of 25 high school students who reached the final round of the DMSC. The instrument used was a written mathematical reasoning test consisting of five essay questions. Students’ responses were analyzed using descriptive statistics, including mean scores and percentage values based on established scoring rubrics. The results showed that 18 students were categorized as having low reasoning ability and 7 students had a moderate level. The average reasoning score was 63.84%, which falls into the low category. Although students could perform calculations, most of them struggled with argument validation and logical explanation.The findings emphasize the necessity for educators to develop instructional strategies that foster students’ mathematical reasoning, particularly through approaches that stimulate higher-order thinking skills.
Redefining Academic Recruitment Using Fuzzy Tahani Logic: A Multi-Criteria Model for Calculus Teaching Assistants’ Selection Asido Saragih; Febri Sihotang; Jaya Santoso; Ana Muliyana; Ragina Ayunita Tarigan
EduMatSains : Jurnal Pendidikan, Matematika dan Sains Vol 10 No 2 (2025): October
Publisher : Fakultas Keguruan dan Ilmu Pendidikan, Universitas Kristen Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.33541/edumatsains.v10i2.7284

Abstract

This study aims to implement the Tahani fuzzy logic method as a decision support system for selecting candidates to become teaching assistants in a Calculus course. The selection process involves evaluating participants based on four test items covering major topics in Calculus: definite integrals, areas between curves, and others. Each participant’s score was fuzzified into three linguistic categories: poor, fair, and good. Membership functions were constructed using triangular distributions, and fuzzified scores were processed using a rule-based inference system. The final recommendation score for each participant was obtained by defuzzifying the fuzzy outputs. Participants with a final score recommendation greater than or equal to 0.5 were classified as eligible. The results show that the fuzzy logic approach offers a flexible and effective way to handle uncertainties in assessment, with 8 participants meeting the passing criteria. This method provides an objective framework for decision-making in academic selection contexts.
Co-Authors Andrew Rolas Siagian Ardiles Sinaga Asido Saragih Batara Hasintongan Nadapdap Br Tarigan, Gishella Putri Vehuliza Darmaji, Darmaji Erna Meliana Manurung Febri Sihotang Frengki Simatupang Gurning, Yosia Yehezkiel Guslisnawati, Guslisnawati Hutapea, Oppir Leonardo Istas Pratomo Manalu Jailani Jailani Jaya Santoso Juniastel Rajagukguk JUNITA AMALIA Lumbantoruan, Wahyudi Gamaliel Marsigit Marsigit Martgrita, Merry Meryam Nainggolan, Samuel Leonardo Oppir Hutapea P, Adi Wibowo Paian Manalu Panjaitan, Adi Wibowo Ragina Ayunita Tarigan REGINA AYUNITA TARIGAN Santo Paulus Rajagukguk Sari Muthia Sari Sari Muthia Silalahi Simangunsong, Restu Glorya Siregar, Alfredo Benaya Sri Andayani Syaiful Bakhri