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All Journal Jurnal Teknologi Informasi dan Ilmu Komputer Edumatsains BAREKENG: Jurnal Ilmu Matematika dan Terapan Compiler Jurnal Pengabdian Masyarakat Mandira Cendikia (JPKM-MC) KREATIF: Jurnal Pengabdian Masyarakat Nusantara
Jaya Santoso
Institut Teknologi Del
Agriculture, Biological Sciences & Forestry Chemistry Computer Science & IT Control & Systems Engineering Decision Sciences, Operations Research & Management Economics, Econometrics & Finance Education Energy Engineering Health Professions Law, Crime, Criminology & Criminal Justice Mathematics Mechanical Engineering Physics Social Sciences Transportation Other

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THE PARTITION DIMENSION OF CYCLE BOOKS GRAPH B_(m,n) WITH A COMMON PATH P_2 Santoso, Jaya; Darmaji, Darmaji
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 19 No 2 (2025): BAREKENG: Journal of Mathematics and Its Application
Publisher : PATTIMURA UNIVERSITY

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30598/barekengvol19iss2pp791-804

Abstract

Suppose is a connected graph with elements of a set of vertices denoted by and a subset of . The distance between and is the shortest distance to every vertex in . Let be a partition of , where each subset belongs to . The representation of a vertex with respect to is defined as the set of distances from to each vertex in . If each representation of each vertex of is different, then the partition is called the resolving partition of , and the partition dimension is the smallest integer such that has a resolving partition with members. In this research, we show the partition dimensions of the cycle books graph . Cycle books graph is a graph consisting of copies of a cycle with a common path . The partition dimension of the cycle books graph for and is shown.
On the Chromatic Number of Cycle Books Graph Santoso, Jaya
Compiler Vol 14, No 1 (2025): May
Publisher : Institut Teknologi Dirgantara Adisutjipto

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.28989/compiler.v14i1.2930

Abstract

Graph coloring is a fundamental topic in graph theory, with various applications in scheduling, networking, and optimization problems. In this study, we investigate the chromatic number of the cycle books graph , a structured graph formed by attaching multiple cycles to a common path . We establish that the chromatic number of    depends on the parity of . Specifically, we prove that if  is even, the chromatic number is , while if  is odd, the chromatic number is . These results provide a deeper understanding of coloring properties in book-like graphs and contribute to the broader study of chromatic numbers in structured graph families. The findings may be extended to other variations of book graphs and related topologies in future research.
Kegiatan Del Biology Competition 2022 Dalam Meningkatkan Kemampuan Pengetahuan Siswa Toba Jaya Santoso; Merry Meryam Martgrita; Asido Saragih; Sari Muthia Silalahi; Ana Muliyana
Jurnal Pengabdian Masyarakat Mandira Cendikia Vol. 3 No. 6 (2024)
Publisher : YAYASAN PENDIDIKAN MANDIRA CENDIKIA

Show Abstract | Download Original | Original Source | Check in Google Scholar

Abstract

Kegiatan pengabdian melalui kerjasama dan kolaborasi dibangun dan direalisasikan dalam bentuk kegiatan Olimpiade Biologi yang diselenggarakan oleh Institut Teknologi Del tahun 2022. Kegiatan olimpiade biologi untuk tingkat SMA/SMK ini difasilitasi oleh UPT Sains dan Matematika, Institut Teknologi Del, dengan harapan dapat meningkatkan mutu pendidikan sains khususnya bidang biologi melalui penumbuhkembangan budaya belajar, kreativitas, sikap disiplin, kerja keras untuk menguasai ilmu pengetahuan dan teknologi, dan motivasi meraih prestasi terbaik melalui kompetisi yang sehat serta menjunjung nilai-nilai sportivitas. Selain itu juga untuk meningkatkan kecerdasan bangsa dan kesadaran ilmiah untuk mempersiapkan generasi muda dalam menghadapi masa yang akan datang. Pada pelaksanakan kegiatan ini peserta yang telah mendaftarkan diri untuk ikut dalam tahap awal olimpiade biologi sebanyak 65 siswa yang berasal dari 27 sekolah SMA/SMK dimana babak final diikuti oleh 38 siswa yang keseluruhan berasal dari 12 sekolah. Pada kegiatan ini piala bergilir diberikan kepada sekolah yang meraih gelar juara umum yaitu SMA Unggul Del.
Dari Sitoluama untuk Indonesia : Menumbuhkan Generasi Ilmuwan Melalui DMSC 2024 Regina Ayunita Tarigan; Asido Saragih; Junita Amalia; Jaya Santoso; Ana Muliyana; Sari Muthia Sari; Andrew Rolas Siagian
KREATIF: Jurnal Pengabdian Masyarakat Nusantara Vol. 5 No. 2 (2025): Jurnal Pengabdian Masyarakat Nusantara
Publisher : Pusat Riset dan Inovasi Nasional

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.55606/kreatif.v5i2.6023

Abstract

The proficiency of Indonesian students in mathematics and science remains relatively low, as reflected in the 2022 PISA survey, which ranked Indonesia 69th out of 81 participating countries. This low level of mathematical and scientific literacy has become a major concern in efforts to improve the quality of education. This community service activity aims to foster interest and motivation among senior high school students (SMA/SMK/MA or equivalent) in the fields of mathematics, physics, chemistry, and biology through the organization of the Del Mathematics and Science Competition (DMSC) in 2024. The competition was conducted in two stages: an online preliminary round on November 2, 2024, and an on-site final round on November 9, 2024, at Institut Teknologi Del, coinciding with World Scientiest Day. The implementation method included competition promotion, online participant selection, and in-person contest execution with an objective scoring system. The findings indicated high enthusiasm among participants from various regions of Indonesia, along with improved understanding and confidence in solving concept-based problems. The implications of this activity suggest that science-based competitions can serve as effective platforms to raise public awareness of the importance of mastering science and support national efforts to enhance the quality of education in mathematics and science
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.
Deteksi Plagiarisme Dokumen Tugas Menggunakan Algoritma Shingling dan MD5 Fingerprint Chrisinta, Debora; Simarmata, Justin Eduardo; Purnomo, Miko; Santoso, Jaya
Jurnal Teknologi Informasi dan Ilmu Komputer Vol 13 No 1: Februari 2026
Publisher : Fakultas Ilmu Komputer, Universitas Brawijaya

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.25126/jtiik.2026131

Abstract

Masalah utama dalam lingkungan akademik adalah plagiarisme, yang dapat merusak reputasi institusi dan menghambat proses pembelajaran mahasiswa. Oleh karena itu, untuk mengatasi masalah ini diperlukan sistem deteksi plagiarisme yang efektif dan efisien. Tujuan dari penelitian ini adalah mengimplementasikan algoritma Shingling dan MD5 Fingerprint menggunakan Python untuk mendeteksi kemiripan teks dalam tugas mahasiswa. Data yang digunakan dalam penelitian ini berupa dokumen Word (.docx) berupa tugas akademik, seperti esai dan laporan, yang dikumpulkan dari mata kuliah Data Warehouse. Metode yang digunakan meliputi pra-pemrosesan teks, pembentukan shingle berbasis kata, dan perhitungan Jaccard Similarity untuk mengukur tingkat kemiripan antara dokumen. Hasil penelitian menunjukkan bahwa algoritma Shingling dan MD5 Fingerprint efektif dalam mendeteksi kemiripan teks, bahkan ketika terdapat variasi dalam struktur kalimat atau penggunaan bahasa. Hasil kemiripan divisualisasikan dalam grafik batang, yang menyajikan tingkat kemiripan antar dokumen secara jelas dan ringkas. Sistem ini diharapkan menjadi alat bantu andal bagi dosen dan institusi dalam memantau keaslian karya tulis mahasiswa secara real-time.   Abstract The main issue in the academic environment is plagiarism, which can damage the reputation of institutions and hinder the student learning process. Therefore, an effective and efficient plagiarism detection system is necessary to address this problem. The aim of this study is to implement the Shingling algorithm and MD5 Fingerprint using Python to detect text similarity in student assignments. The data used in this research consists of Word documents (.docx) of academic assignments, such as essays and reports, collected from the Data Warehouse course. The methods used include text preprocessing, word-based shingle formation, and Jaccard Similarity calculation to measure the similarity level between documents. The research results show that the Shingling algorithm and MD5 Fingerprint are effective in detecting text similarity, even when there are variations in sentence structure or language use. Visualization of the results in the form of graphs facilitates the identification of documents with high levels of plagiarism, allowing for further action to maintain academic integrity. This system is expected to be a reliable tool for lecturers and institutions to monitor the authenticity of student writings in real-time.
Co-Authors Ana Muliyana Andrew Rolas Siagian Asido Saragih Chrisinta, Debora Darmaji, Darmaji Febri Sihotang JUNITA AMALIA Martgrita, Merry Meryam Miko Purnomo Ragina Ayunita Tarigan REGINA AYUNITA TARIGAN Sari Muthia Sari Sari Muthia Silalahi Simarmata, Justin Eduardo