Claim Missing Document
Check
Articles

LOCAL IRREGULARITY POINT COLORING ON THE RESULT OF SUBDIVISION OPERATION OF HELM GRAPHS Nuroeni, Ilmiatun; Kristiana, Arika Indah; Hussen, Saddam; Setiawani, Susi; Adawiyah, Robiatul
JURNAL DIFERENSIAL Vol 5 No 2 (2023): November 2023
Publisher : Program Studi Matematika, Universitas Nusa Cendana

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35508/jd.v5i2.12197

Abstract

One of the sub-chapters studied in graphs is local irregularity vertex coloring of graph. The based on definition of local irregularity vertex coloring of graph, as follow : (i)l : V (G) →{1, 2, 3, . . . , k} as a vertex irregular labeling and w : V (G) → N, for every uv ∈ E(G), w(u) ̸=w(v) with w(u) = Pv∈N(u)l(v) and (i) Opt(l) = min{max(li); li is a vertex irregular labeling}. The chromatic number of the local irregularity vertex coloring of G denoted by χlis(G), is the minimum cardinality of the largest label over all such local irregularity vertex colorings. In this article, discuss about local irregularity vertex coloring of subdivision by helm graph (Sg(Hn)).
BILANGAN KROMATIK GRACEFUL PADA KELUARGA GRAF SENTRIPETAL Lestari, Deninta Dwi Ayu; Kristiana, Arika Indah; Prihandini, Rafiantika Megahnia; Alfarisi, Ridho; Setiawan, Toto Bara; Adawiyah, Robiatul
JURNAL DIFERENSIAL Vol 6 No 1 (2024): April 2024
Publisher : Program Studi Matematika, Universitas Nusa Cendana

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35508/jd.v6i1.12746

Abstract

One of the topics studied in graphs is graph coloring. The definition of a graceful coloring, namely $k$-elegant coloring of a graph G is the exact vertex coloring c:V(G)→{ 1,2,...,k} where k≥2 induces the exact vertex coloring c^': V(G)→ {1,2,...,k-1} which is defined by c(uv)=|c(u)-c(v)|. The exact vertex coloring c of a graph G is a graceful coloring if c is a k-elegant coloring for k∈N. The graceful chromatic number is the minimum k value where graph G has k-elegant coloring, the elegant chromatic number of graph G is denoted by X_g (G). This article will discuss graceful chromatic numbers in the centripetal graph family which includes octopus graph (O_n), sandat graph (St_n),dutch windmill graph (D_3^m) , and a volcano graph (V_n).
PENGEMBANGAN GAME EDUKASI “LINGED MATH” PADA MATERI LINGKARAN SMP Nurbuono, Mousthapaa; Kristiana, Arika Indah; Hussen, Saddam; Wihardjo, Edy; Murtikusuma, Randi Pratama
EDUPEDIA Vol. 8 No. 1 (2024): April
Publisher : Universitas Muhammadiyah Ponorogo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24269/ed.v8i1.2664

Abstract

Educational games are games specifically designed with educational themes to get learning outcomes. This research develops an educational game "Linged Math" which is designed to make it easier for students to understand circle material, cirle material is one of the materials at the junior high school level which is difficult for students to understand. The purpose of this research is to develop educational game products based on pcgames use Construct 3 software to increase students' understanding of valid, practical, and effective circle material. This research model uses a 4-D development model, namely define, design, develop, and disseminate. This educational game was tested on class VIII students of SMPN 7 Jember. Data collection methods in this study used observation, tests, and user response questionnaires. The results of this study indicate that the level of validation of the educational game "Linged Math" from the validator is 3.84 so that it is categorized valid. The percentage of the practicality level of the educational game "Linged Math" from the results of the user response questionnaire was 86.25% which was categorized as very good. The level of effectiveness is obtained from the average N-Gain of the overall results of the student's pre-test and post-test of 0.77 so that it is categorized as high or effective. Based on the results of these data, the educational game "Linged Math" is said to be valid, practical, and effective.
Numerical Analysis of Airflow in Trachea Affected by Thyroid Cancer Using Finite Volume Method Fatahillah, Arif; Jannah, Miftahul; Setiawani, Susi; Setiawan, Toto Bara; Kristiana, Arika Indah
CAUCHY: Jurnal Matematika Murni dan Aplikasi Vol 9, No 1 (2024): CAUCHY: JURNAL MATEMATIKA MURNI DAN APLIKASI
Publisher : Mathematics Department, Universitas Islam Negeri Maulana Malik Ibrahim Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.18860/ca.v9i1.24376

Abstract

The study aims to analyze the airflow in the trachea due to thyroid cancer. Thyroid cancer is a cancer that attacks the thyroid gland. The thyroid gland is located in the neck below the Adam's apple. In general, thyroid cancer causes stenosis of the trachea due to cancer compression of the tracheal wall. This problem is solved using the finite volume method with SIMPLE (Semi Implicit Method for Pressure Linked Equation) discretization. This method is well suited for the discretization of irregularly shaped fluid flows. The software used is Matlab and Ansys Fluent. Matlab is used to compute numerical solutions and display graphs, while Fluent is used to visualize the air flow. The result of this study is that the greater the percentage of stenosis, the velocity of the airflow is faster and the pressure of the airflow is lower. The most critical condition for respiratory power loss is when the airflow velocity exceeds the normal limit, i.e. when the narrowing is more than 50%, the initial velocity is more than 0,1 m/s.
An Inclusive Local Irregularity Vertex Coloring of Dutch Windmill Graph Kristiana, Arika Indah; Prahastiwi, Lusi Rizzami; Prihandini, Rafiantika Megahnia
CAUCHY: Jurnal Matematika Murni dan Aplikasi Vol 8, No 2 (2023): CAUCHY: JURNAL MATEMATIKA MURNI DAN APLIKASI
Publisher : Mathematics Department, Universitas Islam Negeri Maulana Malik Ibrahim Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.18860/ca.v8i2.17154

Abstract

Let G(V,E) is a simple and connected graph with V(G) as vertex set and E(G) as edge set. An inclusive local irregularity vertex coloring is a development of the topic of local irregularity vertex coloring. An inclusive local irregularity vertex coloring is defined by coloring the graph so that its weight value is obtained by adding up the labels of the neighboring vertex and its label. The inclusive local irregularity chromatic number is defined as the minimum number of colors obtained from coloring the vertex of the inclusive local irregularity in graph G. In this paper, we find the inclusive local irregularity vertex coloring and determine the chromatic number on the Dutch windmill graph using axiomatic deductive and pattern recognition methods. The results of this study are expected to be used as a basis for studies in the development of knowledge related to the inclusive local irregularity vertex coloring
Development of Realistic Mathematics Education (RME) Integrating Agricultural Activities to Improve Numeracy Skills Cahyadewi, Karina Cindy; Pambudi, Didik Sugeng; Lestari, Nurcholif Diah Sri; Kurniati, Dian; Kristiana, Arika Indah
Jurnal Kependidikan : Jurnal Hasil Penelitian dan Kajian Kepustakaan di Bidang Pendidikan, Pengajaran, dan Pembelajaran Vol. 11 No. 1 (2025): March
Publisher : LPPM Universitas Pendidikan Mandalika

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.33394/jk.v11i1.14060

Abstract

This study aims to develop Realistic Mathematics Education (RME) learning tools integrated with agricultural activities, fulfilling the criteria of valid, practical, and effective to improve numeracy skills, particularly in the topics of direct and inverse proportionality. This study used the research and development with the Plomp model, comprising three phases. The first phase, preliminary research, involved 26 teachers and prospective teachers. The second phase, development or prototyping, engaged three experts and three students. The third phase, assessment, was conducted through trial testing with 31 participants in the experimental class and 31 participants in the control class. Data collection techniques included questionnaires, surveys, observations, tests, and interviews. Data processing was conducted using descriptive statistics. The results of the study indicate that the developed RME learning tools integrated with agricultural activities fulfills the criteria of valid, practical, and effective. The validity criteria were achieved with scores of 3.77 for the teaching module, 3.81 for the LKPD, 3.84 for the learning achievement test, and 3.87 for the instruction manual. The practicality criteria were met with a learning implementation rate of 95% (very good), and student activity reaching 84.9% (active). Additionally, student and teacher response questionnaires showed positive feedback, with scores of 95.48% and 100%, respectively. The effectiveness criteria were achieved with an average N-Gain score of 0.65 (moderate) and the experimental class achieved higher average scores than the control class. This study implies that RME integrated with agricultural activities can be recommended for mathematics teachers to support numeracy teaching.
Super (a, d)-hyperedge antimagic total labeling on hypergraphs of the volcano graph, semi parachute graph, and comb product graph Adawiyah, Robiatul; Asari, Okta Endri; Dafik, Dafik; Kristiana, Arika Indah; Prihandini, Rafiantika Megahnia; Rohini, A
Alifmatika (Jurnal pendidikan dan pembelajaran Matematika) Vol 7 No 2 (2025): Alifmatika - December
Publisher : Fakultas Tarbiyah Universitas Ibrahimy

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35316/alifmatika.2025.v7i2.391-408

Abstract

In graph theory, understanding the labeling of graphs and hypergraphs provides valuable insights into their structural properties and applications. A hypergraph generalizes the notion of a conventional graph, defined as a mathematical structure built from a vertex set V and a hyperedge set E, where each hyperedge is allowed to connect two or more vertices simultaneously. The essential distinction between a graph and a hypergraph lies in their edges. While in a graph a single edge connects exactly two vertices, in a hypergraph a single hyperedge may connect any number of vertices, including two. A hypergraph is considered to admit a super (a, d) -hyperedge antimagic total labeling, such that the vertex label functions f: V(H)  1, 2, 3, ....., V(H) then f: E(H)  V(H) + 1, ....., V(H) + V(H) and weight w(ei) = ∑ f(ei) + ∑ f(Vi,j), where i denotes the number of hyperedges, j represents the number of vertices contained in a hyperedge, and e_i refers to the set of vertices and its associated edges with weight w(ei) for each hyperedge. A super (a, d) -hyperedge antimagic total labeling is formulated as a labeling scheme based on arithmetic progressions, where ???? serves as the initial value and d denotes the common difference between consecutive labels. In this scheme, the total weight of a hyperedge is determined by deriving from the sum of the vertex labels and the label of the respective hyperedge. The labels are arranged in an arithmetic sequence, ensuring that each hyperedge has a distinct weight. This study focuses on several special classes of hypergraphs, namely, the volcano graph, the semi-parachute graph, and the comb product of graphs, to implement and examine the characteristics of the super (a, d)-hyperedge antimagic total labeling. By focusing on these graph classes, the study contributes to combinatorics by offering a deeper understanding of hypergraph labeling schemes and their potential applications in network theory, coding theory, and data modeling.
Android-Based Statistics Adventure Educational Games to Enhance Students’ Understanding of Measures of Central Tendency and ICT Literacy Fatahillah, Arif; Ningsih, Mirah Wahyu; Monalisa, Lioni Anka; Kristiana, Arika Indah; Hussen, Saddam
Jurnal Pendidikan Matematika Vol 8, No 1 (2025): Jurnal Pendidikan Matematika (Kudus)
Publisher : Universitas Islam Negeri Sunan Kudus

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.21043/jpmk.v8i1.30547

Abstract

In the era of society 5.0, one of the essential skills students must possess is ICT literacy. This skill can be developed through the use of technology-integrated learning media. One of the technology-based learning media that can be used is educational games. This study aims to examine the effectiveness of the Statistics Adventure educational game in enhancing students' understanding of measures of central tendency and ICT literacy. The ICT literacy components assessed include access, manage, integrate, evaluate, and create. This research specifically focuses on the "create" component. Data were collected using questionnaires, interviews, and tests. The participants were 28 seventh-grade students from SMP Negeri 3 Jember. The results show that the Statistics Adventure game is effective in enhancing students' ICT literacy, with an overall N-Gain score of 0.8, categorized as high. The N-Gain values for each indicator are as follows: access (0.84), manage (0.87), integrate (0.84), evaluate (0.72), and create (0.92), with "create" showing the highest gain. Furthermore, the game is also effective in enhancing students’ understanding of the subject matter, with an N-Gain score of 0.5. These findings suggest that educational games can significantly enhance both ICT literacy and content comprehension among students. Kemampuan yang perlu dimiliki siswa pada era society 5.0 saat ini adalah kemampuan literasi ICT. Kemampuan literasi ICT dapat dicapai melalui penggunaan media pembelajaran yang memanfaatkan teknologi. Salah satu media pembelajaran berbasis teknologi yang dapat digunakan adalah game edukasi. Penelitian ini bertujuan untuk menguji efektifitas penggunaan game edukasi Statistics Adventure untuk meningkatkan pemahaman siswa tentang materi pemusatan data statistika dan literasi TIK. Aspek ICT meliputi Access, Manage, Integrate, Evaluate, dan Create. Pada penelitian ini aspek yang akan diteliti adalah aspek create. Model pengembangan yang digunakan adalah ADDIE terdiri dari lima tahap yaitu Analyze (Analisis), Design (Desain), Development (Pengembangan), Implementation (Implementasi), dan Evaluate (Evaluasi). Metode pengumpulan data yang digunakan adalah angket, wawancara, dan tes. Subjek penelitian ini adalah siswa kelas VII SMP Negeri 3 Jember sebanyak 28 siswa. Keefektifan game edukasi Statistics Adventure efektif untuk meningkatkan ICT Literacy siswa dengan nilai N-Gain yang diperoleh sebesar 0,8 sehingga efektif dengan kategori tinggi. Nilai N-gain setiap indikator menunjukkan peningkatan, Access (0,84), Manage (0,87), Integrate (0,84), Evaluate (0,72), dan Create (0,92). Aspek Create merupakan aspek dengan nilai N-Gain tertinggi. Berdasarkan hal tersebut dapat disimpulkan bahwa game edukasi dapat meningkatkan ICT literacy siswa dengan kategori tinggi. Game edukasi ini juga efektif untuk meningkatkan pemahaman siswa dengan nilai N-Gain sebesar 0,5.
Developing Nearpod-based interactive learning media on the topic of algebra to improve critical thinking ability Dian Kurniati; Sabna Setiawati; Dhanar Dwi Hary Jatmiko; Arika Indah Kristiana; Rafiantika Megahnia Prihandini
AXIOM : Jurnal Pendidikan dan Matematika Vol 15, No 1 (2026)
Publisher : State Islamic University of North Sumatra

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30821/axiom.v15i1.20543

Abstract

Interactive learning has become a necessity in the modern educational era, particularly for facilitating students’ understanding of abstract mathematical concepts such as algebra. Difficulties in comprehending algebraic concepts often hinder the development of students’ critical thinking skills, which are essential for solving problems and making logical decisions. This study aimed to develop Nearpod-assisted interactive learning media and examine its effectiveness in enhancing students’ critical thinking skills in algebra. The study employed the Thiagarajan (4-D) development model, consisting of four stages, namely define, design, develop, and disseminate. The research subjects were selected through purposive sampling and consisted of 31 seventh-grade students (16 females and 15 males) from Class VII G of State Junior High School 4 Jember, Indonesia, who demonstrated low levels of critical thinking skills based on the results of an initial assessment. Data were collected through classroom observations, critical thinking tests, and student response questionnaires. The effectiveness of the developed media was evaluated by testing the research hypothesis regarding the impact of Nearpod-assisted learning on students’ critical thinking skills. Data were analyzed using a paired-samples t-test and N-Gain analysis. The t-test results showed a significance value (Sig. 2-tailed) of 0.000 (< 0.05), indicating a significant difference between the mean pre-test and post-test scores. Furthermore, the N-Gain percentage reached 80.19%, indicating a high level of improvement. These findings suggest that Nearpod-assisted interactive learning media is effective in improving students’ critical thinking skills in algebra and positively contributes to their learning outcomes at State Junior High School 4 Jember.
Development of STEAM-Based Learning with a Deep Learning Approach to Enhance Critical Thinking Skills on Circle Material Lutfiana Ramadani; Abi Suwito; Susanto Susanto; Arika Indah Kristiana; Frenza Fairuz Firmansyah
QALAMUNA: Jurnal Pendidikan, Sosial, dan Agama Vol. 18 No. 1 (2026): Qalamuna - Jurnal Pendidikan, Sosial, dan Agama
Publisher : Lembaga Penerbitan dan Publikasi Ilmiah Program Pascasarjana IAI Sunan Giri Ponorogo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.37680/qalamuna.v18i1.9750

Abstract

This study aims to develop STEAM-based mathematics learning tools integrated with a deep learning approach to enhance junior high school students’ critical thinking skills on circle material. The study employed the 4D development model consisting of Define, Design, Develop, and Disseminate stages. The developed products included a Module Implementation Plan (RPM), teaching materials, interactive learning media, Student Worksheets (LKM), and critical thinking assessment instruments. The novelty of this study lies in the systematic integration of STEAM principles and deep learning into all learning components specifically designed for circle material at the junior high school level. The validity of the tools was assessed by expert validators, while practicality was evaluated through observations of learning implementation, student activities, and student responses. Effectiveness was examined using the N-Gain test. The results showed that the developed tools were valid (mean score = 3.76), practical, and effective, with students demonstrating active participation, positive responses, and a moderate improvement in critical thinking skills (N-Gain = 0.60).
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 Deddy Setyawan 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 . 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