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All Journal Jurnal Edukasi Universitas Jember KADIKMA CAUCHY: Jurnal Matematika Murni dan Aplikasi Tadris: Jurnal keguruan dan Ilmu Tarbiyah JINOP (Jurnal Inovasi Pembelajaran) UNEJ e-Proceeding BAREKENG: Jurnal Ilmu Matematika dan Terapan JTAM (Jurnal Teori dan Aplikasi Matematika) Indiktika : Jurnal Inovasi Pendidikan Matematika EDUPEDIA INTEGRITAS : Jurnal Pengabdian JURNAL AXIOMA : Jurnal Matematika dan Pembelajaran JPKMI (Jurnal Pengabdian Kepada Masyarakat Indonesia) Contemporary Mathematics and Applications (ConMathA) Jurnal Pengabdian Masyarakat Khatulistiwa Jurnal Kependidikan: Jurnal Hasil Penelitian dan Kajian Kepustakaan di Bidang Pendidikan, Pengajaran dan Pembelajaran Jurnal Diferensial CGANT JOURNAL OF MATHEMATICS AND APPLICATIONS Pancaran Pendidikan Jurnal Pengabdian Masyarakat Bangsa Jurnal Ilmiah Matematika (JIMAT)
Arika Indah Kristiana
Universitas Jember
Agriculture, Biological Sciences & Forestry Arts Humanities Chemistry Civil Engineering, Building, Construction & Architecture Computer Science & IT Control & Systems Engineering Decision Sciences, Operations Research & Management Earth & Planetary Sciences Economics, Econometrics & Finance Education Energy Engineering Environmental Science Health Professions Industrial & Manufacturing Engineering Languange, Linguistic, Communication & Media Law, Crime, Criminology & Criminal Justice Materials Science & Nanotechnology Mathematics Mechanical Engineering Medicine & Pharmacology Nursing Physics Public Health Social Sciences Transportation Other

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AN INCLUSIVE LOCAL IRREGULARITY VERTEX COLORING OF BOOK GRAPH FAMILY Adawiyah, Robiatul; Aima, Muslihatul; Kristiana, Arika Indah
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 17 No 2 (2023): BAREKENG: Journal of Mathematics and Its Applications
Publisher : PATTIMURA UNIVERSITY

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30598/barekengvol17iss2pp0601-0608

Abstract

Let is a simple and connected graph with as vertex set and as edge set. Vertex labeling on inclusive local irregularity vertex coloring is defined by mapping and the function of the inclusive local irregularity vertex coloring is with . In other words, 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, denoted by . In this paper, we learn about the inclusive local irregularity vertex coloring and determine the chromatic number on the book graphs.
NUMERICAL ANALYSIS IN ARTERIAL STENOSIS AFFECTED BY ISCHEMIC HEART DISEASE USING FINITE VOLUME METHOD Fatahillah, Arif; Pratiwi, Alfiani Dyah; Setiawani, Susi; Kristiana, Arika Indah; Adawiyah, Robiatul
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 18 No 1 (2024): BAREKENG: Journal of Mathematics and Its Application
Publisher : PATTIMURA UNIVERSITY

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30598/barekengvol18iss1pp0179-0192

Abstract

Atherosclerosis is the narrowing of blood vessels caused by the buildup of cholesterol plaque on the walls of the arteries. Excessive buildup of cholesterol plaque disrupts the circulatory system, thereby affecting the speed and pressure of blood flow. In the long term, atherosclerosis can cause ischemic heart disease. This study aims to analyze the influence of stenosis, initial velocity, and diameter on the velocity and pressure of blood flow in narrowed arteries that cause ischemic heart disease. In this research, a Navier Stoke mathematical equation model was built which was solved using the finite volume method with SIMPLE discretization (Semi Implicit Method for Pressure Linked Equations). Finite volume methods are used to analyze unstructured objects such as blood flow. SIMPLE discretization is implemented simply in two and three dimensions with a system of equations containing fluid motion. Matlab and Fluent are software used for process simulations, Matlab for visualizing graphs of numerical calculation results, and Fluent for visualizing blood flow. Based on the simulation results, it can be concluded that the smaller the diameter, the greater the stenosis, and the greater the initial velocity, the greater the blood flow velocity. On the contrary, the diameter gets smaller, the stenosis gets bigger, and the initial velocity gets bigger so that the pressure on the blood flow gets smaller. Blood flow simulation has the potential to contain ischemic heart disease if the maximum speed produced is greater than the maximum normal blood speed, namely 0.45 m/s.
COLORING r-DYNAMIC POINT ON CRICKET GRAPH Kusumawati, Nurita; Kristiana, Arika Indah; Alfarisi, Ridho; Adawiyah, Robiatul; Setiawan, Toto Bara; Prihandini, Rafiantika Megahnia
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.v6i1.12191

Abstract

A graph is defined as an ordered set (V,E) where V is a non-empty set of elements called vertices and E is a set of edges which are finite and may be empty and each edge connects two different points of V(G).The r-dynamic coloring is defined as c:V(G)→{1,2,3,…,k} such that it satisfies the following conditions if uv∈V(G), then c(u)≠ c(v), and ∀v∈V(G), |c(N(v))|≥min⁡{r,d(v)}, for positive integers r and degree of vertex v. The purpose of r-dynamic coloring is to find the minimum chromatic number of graph coloring with unlimited parameter r. Dynamic coloring is performed on cricket graphs because no research has been done before. The method used in this research is the axiomatic deductive research method and the pattern detection method.
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.
Analysis of Resolving Efficient Dominating Set and Its Application Scheme in Multi-Step Time Series Forecasting of pH and Soil Moisture in Horizontal Farming Dliou, Kamal; Aziza, Adinda Putri; Dafik, Dafik; Kristiana, Arika Indah; Retnowardani, Dwi Agustin
CAUCHY: Jurnal Matematika Murni dan Aplikasi Vol 10, No 1 (2025): 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/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.
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.
Co-Authors Afni, Anis Nur Agatha, Alvian Bagus Ahmad Aji Aima, Muslihatul Aji, Ahmad Arif Fatahillah Arifandi, Agus Asy’ari, Muhammad Lutfi Aziza, Adinda Putri 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 Dliou, Kamal 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 Fatimah, Laila Nurul Fihrisi, Fathan Hobri I Made Tirta I Made Tirta Intan Nurul Awwaliyah Islamiah, Maulidi Arsih Umaroh Ja'far, Muhammad Jatmiko, Dhanar Dwi Hary Karina Cindy Cahyadewi Karuniaji Fitra Insani Khilyah Munawaroh Khusnul, Agustina Hotimatus Kurniawati, Elsa Yuli Kusbudiono Kusbudiono, Kusbudiono Kusumawati, Nurita Lestari, Deninta Dwi Ayu Lestari, Nurcholif Diah Sri Lioni Anka Monalisa, Lioni Anka Marmono Singgih Miftahul Jannah Mohammad Fadli Rahman Muhammad Gufronil Halim Muhammad Lutfi Asy’ari Muhammad Usaid Hudloir Murtini Murtini, Murtini 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 Putra, Aldi Maulana 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 Alfarisi, Ridho Ridlo, Zainur Rasyid Rizky Astarina, Rizky Robiatul Adawiyah Robiatul Adawiyah S Suharto S Sunardi S Susanto Saddam Hussen Santoso, Aji Mansur Saputra, Guntari Setiawan, Renal Heldi Siddiqui, M. Kamran Siti Aisyah Slamin Sumani . Surya Indriani Susanto Susanto Susanto, Arnis Budi 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