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Journal : CGANT JOURNAL OF MATHEMATICS AND APPLICATIONS

Pewarnaan Titik r-Dinamis pada Graf Hasil Operasi Edge Corona Adelia Putri Liowardani; Dafik Dafik; Arif Fatahillah
CGANT JOURNAL OF MATHEMATICS AND APPLICATIONS Vol 1, No 2 (2020): CGANT JOURNAL OF MATHEMATICS AND APPLICATIONS
Publisher : jcgant

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (489.738 KB) | DOI: 10.25037/cgantjma.v1i2.42

Abstract

This research is a development of research on $r$-dynamic vertex coloring on simple, connected, and undirected graphs. The $r$dynamic vertex coloring on the graph $G$ is the $r$ point coloring of the $r$ graph so that the vertices of degree two on the $G$ graph have at least two different color neighbors. The $r$-dynamic vertex coloring is satisfied if it meets the conditions for $\forall v \in V(G)$, $|c(N(v))|$ $\geq$ min$\{r,d(v)\}$. The chromatic number for the $r$-dynamic vertex coloring of the graph $G$ is denoted as $\chi_r(G)$. In this study, we discuss the $r$-dynamic vertex coloring on the graph resulting from the \emph{edge corona} operation on a path graph with a complete graph, a star graph, and a sweep graph. It is denoted that the result of the operation of \emph{edge corona} graph $G$ and graph $H$ is $G \diamond H$. In this study, the results of the $r$-dynamic vertex coloring are described in the operation graph $P_n \diamond K_m$, $P_n \diamond S_m$, $P_n \diamond P_m$, and $P_n \diamond B_{(m,k)} 
Analysis Creative Thinking Pattern on X Sains 2 at SMAN 2 Jember to Solving Open Ended Problem of Space and Shape Elsa Yuli Kurniawati; Dafik Dafik; Arif Fatahillah
CGANT JOURNAL OF MATHEMATICS AND APPLICATIONS Vol 1, No 2 (2020): CGANT JOURNAL OF MATHEMATICS AND APPLICATIONS
Publisher : jcgant

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (1555.138 KB) | DOI: 10.25037/cgantjma.v1i2.46

Abstract

Math learning to train people to think critically, creatively, logical, analytical and systematic. In reality, mathematics is often regarded as the science that emphasizes logical thinking with a unique solution and certainly, so that students do not have the flexibility to develop creative ideas. The condition causes low creativity of students in learning mathematics. Curriculum 2006 stated that creative thinking skills needed to master the science of the future, given that today's science and technology is developing very rapidly \cite{BSNP}. Thus, the ability to think creatively is important to develop. This study describes the rate and the process of creative thinking class X IPA 2 SMA Negeri 2 Jember, in solving open ended problems. Instruments used in this research is to test the ability to think creatively package A and package B, questionnaires and interview guidelines. Of the 36 students of class X IPA 2 SMA Negeri 2 Jember included TBK 0 (not creative) as much as two students (5.56\%), TBK 1 (less creative) as many as twenty students (55.56\%), TBK 2 (enough creative) thirteen students (36.1\%), TBK 3 (creative) only one student (2.78\%) and no students were able to achieve TBK 4 (very creative). Because there are only four levels of creative thinking then taken four students as research subjects who identified the creative thinking process. Students TBK 3 very fulfilling to aspects of fluency and flexibility aspects, but for the novelty aspect is still lacking. Students TBK 2 only meet the flexibility aspect alone. Students TBK 1 which fulfills the eloquence alone. Students who do not meet the TBK 0 fluency aspect, the aspect of flexibility and novelty aspect. 
Bilangan Kromatik Graceful pada Keluarga Graf Unicyclic Nafisa Afwa Sania; Dafik Dafik; Arif Fatahillah
CGANT JOURNAL OF MATHEMATICS AND APPLICATIONS Vol 1, No 2 (2020): CGANT JOURNAL OF MATHEMATICS AND APPLICATIONS
Publisher : jcgant

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (309.285 KB) | DOI: 10.25037/cgantjma.v1i2.39

Abstract

Suppose $ G $ is a graph, where $ G = \{V (G), E (G) \} $. Graceful coloring is defined by $ c: V (G) \to \{1,2, ..., k \} $  which induces a proper edge coloring $ c': E (G) \to \{1,2, ..., k- 1 \}$ defined by $c'(xy)=|c(x)-c(y)|$, where $ k \geq 2 $, $ k \in N $. Coloring is said to be graceful if these 3 conditions are satisfied, namely the proper vertex color, the proper edge color, and the edge color, which are the absolute difference between the color of the accident vertex. The subgraph $H$ on that graceful coloring is smaller than the $G$. Furthermore, one of the subgraphs in the unicyclic graph family is a cycle graph. The graceful chromatic number on a graph denoted by $ \chi_g (G) $, is the optimum number of graceful colors from graph $G$. This research aims to find graceful chromatic numbers in the unicyclic graph family, namely bull graphs, net graphs, cricket graphs, caveman graphs, peach graphs, and flowerpot graphs. The results of this study indicate that $\chi_g(C_l) \geq 4$, where $C_l$ is a unicyclic graphs. 
Super (a; d) - Face Antimagic Total Labeling of Connective Shackle Graph (C5; e; n) Siska Binastuti; Dafik Dafik; Arif Fatahillah
CGANT JOURNAL OF MATHEMATICS AND APPLICATIONS Vol 1, No 1 (2020): CGANT JOURNAL OF MATHEMATICS AND APPLICATIONS
Publisher : jcgant

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (2425.018 KB) | DOI: 10.25037/cgantjma.v1i1.5

Abstract

Let G be a simple graph of order p, size q and face r. The graph G is called a super (a; d) - face antimagic total labeling , if there exist a bijection f : V (G) [ E(G) [ F (G) ! f1; 2; :::; p + q + rg such that the set of s-sided face weights, Ws = fas; as + d; as + 2d; :::; as + (rs ¡1)dg form an arithmetic sequence with ¯rst term a,common di®erence d, where a and d are positive integers s and rs is the number of s-sided faces. Such a graph is called super if the smallest possible labels appear on the vertices. The type of Face Antimagic Labeling is (1,1,1). In this paper, describe of Super (a; d) - Face Antimagic of Connective Shackle (C5; e; n) Graph. Keywords: Super (a; d)-face antimagic total labeling, face antimagic la-beling.
Pewarnaan Ketakteraturan Lokal Inklusif pada Keluarga Graf Pohon Tree Umi Azizah Anwar; Arika Indah Kristiana; Arif Fatahillah; Dafik Dafik; Ridho Alfarisi
CGANT JOURNAL OF MATHEMATICS AND APPLICATIONS Vol 2, No 1 (2021): CGANT JOURNAL OF MATHEMATICS AND APPLICATIONS
Publisher : jcgant

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (289.093 KB) | DOI: 10.25037/cgantjma.v2i1.49

Abstract

All graph in this paper is a simple and connected graph. We define $l: V(G) \to \{ 1, 2, 3,...k\} $ is called vertex irregular k-labeling and $w: (G) \to N$ the weight function with $[\sum_{u \epsilon N} l(u) + l(v) ]$. A local irregularity inclusive coloring if every $u, v \epsilon E(G), w(u) \ne w(v) $ and $max (l) = min \{ max (l_i), l_i label function\}$. The chromatic number of local irregularity inclusive coloring of $G$ denoted by $\chi_{lis}^{i}$, is the minimum cardinality of local irregularity inclusive coloring. We study about the local irregularity inclusive coloring of some family tree graph and we have found the exact value of their chromatic number. 
Pengembangan Affine Chiper dalam Pelabelan Super Antiajaib Graf Buku Bersusun Menggunakan Pemrograman Matlab Vutikatul Nur Rohmah; Dafik Dafik; Arif Fatahillah
CGANT JOURNAL OF MATHEMATICS AND APPLICATIONS Vol 1, No 2 (2020): CGANT JOURNAL OF MATHEMATICS AND APPLICATIONS
Publisher : jcgant

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (964.449 KB) | DOI: 10.25037/cgantjma.v1i2.41

Abstract

Super $(a, d)-\mathcal{H}-$ antimagic total covering labeling on a graph $G=(V,E)$ is total  labelling $\lambda$ on $V(G)UE(G)$ to set integers $\{1,2,3,..., |V(G)UE(G)|\}$ form an arithmetic sequence $\{a, a+d, a+2d, . . .,a+(s-1)d\}$ where $a, d$ are positive integer with $a$ is firt integer, $d$ is different, and $s$ is sum of covering. This research purposes to determine cardinality of vertex, cardinality of edge, upper limit of difference value, difference value from shackle of stacked book graph.The first step is determine cardinality of vertex and cardinality of edge on shackle of stacked book graph. Then determine upperlimit if difference value and the partition from labeling on shackle of stacked book graph. So that be produced super $(a, d)-\mathcal{H}-$antimagic total covering labeling on shackle of stacked book 
Super (a; d)-edge Antimagic Total Labeling of Shack(F6; B2; n) Graph for Developing a Polyalphabetic Cryptosystem Arnasyitha Yulianti Soelistya; Dafik Dafik; Arif Fatahillah
CGANT JOURNAL OF MATHEMATICS AND APPLICATIONS Vol 1, No 1 (2020): CGANT JOURNAL OF MATHEMATICS AND APPLICATIONS
Publisher : jcgant

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (1651.662 KB) | DOI: 10.25037/cgantjma.v1i1.3

Abstract

A graph G of order p and size q is called an (a; d)-edge-antimagic total if there exist a bijection f : V (G) [ E(G) ! f1; 2; : : : ; p + qg such that the edge-weights, w(uv) = f(u) + f(v) + f(uv); uv 2 E(G), form an arithmetic sequence with ¯rst term a and common di®erence d. Such a graph is called super if the smallest possible labels appear on the vertices. In this paper we study a super edge-antimagic total labeling of Shackle (F6; B2; n) Graph connected and we will use it to develop a polyalphabetic cryptosystem.
Pengembangan Perangkat Pembelajaran RBL-STEM Untuk Meningkatkan Metaliterasi Siswa Menerapkan Konsep Relasi Fungsi Dalam Menyelesaikan Masalah Dekorasi Teselasi Wallpaper Sufirman Sufirman; Dafik Dafik; Arif Fatahillah
CGANT JOURNAL OF MATHEMATICS AND APPLICATIONS Vol 3, No 1 (2022): CGANT JOURNAL OF MATHEMATICS AND APPLICATIONS
Publisher : jcgant

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (1048.364 KB) | DOI: 10.25037/cgantjma.v3i1.69

Abstract

Dalam menyelesaikan persoalan matematika, terlebih yang mengintegrasikan permasalahan di kehidupan sehari hari diperlukan kemampuan metaliterasi siswa. Metaliterasi merupakan kerangka berpikir yang menyeluruh dan menjadi sumber referensi mandiri yang bersifat luas dibandingkan dengan jenis literasi lainnnya. Kemampuan metaliterasi siswa saat ini dapat dibilang rendah karena masih tergolong baru dan pembelajaran belum sepenuhnya menggunakan Internet of Things dalam pelaksanaannya. Oleh karena itu, dalam penelitian ini menggunakan model pembelajaran Research Based Learning dengan pendekatan STEM yang berfokus pada pemecahan masalah dekorasi teselasi wallpaper. Pada permasalahan ini, siswa merepresentasikan model dekorasi wallpaper kedalam bentuk titik dan garis untuk menemukan kombinasi warna yang sesuai. Selanjutnya dengan menggunakan konsep relasi fungsi, siswa dapat menemukan pola pewarnaan dari dekorasi tersebut. Dalam kegiatan pembelajaran, permasalahan STEM yang diangkat akan dikembangkan framework integrasi RBL-STEM untuk meningkatkan metaliterasi siswa. Hasil penelitian yang diperoleh berupa sintaks baru yang efektif dalam memecahkan permasalahan teselasi wallpaper dengan model RBL-STEM yang melibatkan relasi fungsi, perangkat pembelajaran RBL-STEM dan potret fase kemampuan metaliterasi siswa
Pengembangan Perangkat Research-Based Learning dengan Pendekatan STEM dalam Meningkatkan Metaliterasi Peserta Didik Menyelesaikan Masalah Himpunan Pasangan Berurutan Excelsa Suli Wildhatul Jannah; Dafik Dafik; Arif Fatahillah
CGANT JOURNAL OF MATHEMATICS AND APPLICATIONS Vol 2, No 2 (2021): CGANT JOURNAL OF MATHEMATICS AND APPLICATIONS
Publisher : jcgant

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (2780.465 KB) | DOI: 10.25037/cgantjma.v2i2.64

Abstract

The ability of metaliteracy is very important in the industrial era 4.0. Metaliteracy is a comprehensive framework of thinking that goes beyond other literacies with the main literacy being information literacy. It is indicated that the metaliteracy of students is still low, it is because this literacy is still relatively new. The use of the IoT in learning is also still uneven, including the learning model used by teachers has not been able to fully support the formation of this ability. Therefore, in this study, the Research-Based Learning model which is integrated with the STEM approach (Science, Technology, Engineering, Mathematics) will be applied to solve the STEM problem of flight scheduling. Students are introduced to the application in the form of a set of sequential pairs, then with the representation of the set of points and lines a specific schedule is drawn up and includes its generalizations. The next step is how to bring STEM problem solving in learning class, then the developed RBL and STEM tools in learning to improve students' metaliteracy. From the results of the study, it was found that the RBL device with the STEM approach developed met the valid, effective, and practice criteria.
Co-Authors Adelia Putri Liowardani Ahmad Syaiful Rizal, Ahmad Syaiful Aiyunin, Qurrota Amirullah, Iqbal Antonius Cahya Prihandoko Arif Wicaksono Arif Wicaksono Arika Indah Kristiana Arnasyitha Yulianti Soelistya Ayu Lestari,, Lisa Azza Liarista Anggraini Brahmanto, Juanda D. Dafik Devi Permatasari Didin Trisnani, Didin Dinawati Trapsilasiwi Diona Amelia, Diona Dody Dwi Aprianto Elsa Yuli Kurniawati Ervin Eka Riastutik, Ervin Eka Excelsa Suli Wildhatul Jannah Faruq, Fathulloh Fatimah, Laila Nurul Fatoni, Muhamad Faizal Fauziyah, Faridah Flavia Aurelia Hidajat, Flavia Aurelia Girlda Elynikie B, Girlda Elynikie Hobri Irsalina Dwi Puspitasari Isni Qothrunnada Joni Susanto, Joni Kamalia Fikri Kusumaningtyas, Nastiti Latifah, Izza Wardatul Lestari, Harin Tripuji Lioni Anka Monalisa Lioni Anka Monalisa, Lioni Anka Liowardani, Adelia Putri Lusia Dewi Minarti Lusia Dewi Minarti Madinda, Diah Putri Maharani, Dewi Masyhudi, Muhammad Ali Maulina Syamsu Widyaharti, Maulina Syamsu Maya Margaretha, Puspita Millatuz Zahroh, Millatuz Moch. Avel Romanza P, Moch. Avel Romanza Mochammad Ulin Nuha Mohammad Fadli Rahman Nafisa Afwa Sania Nisa, Choirotun Niswatul Imsiyah Nisyak, Robiatun Novian Nur Fatihah Nur Alfiyantiningsih Nurcholif Diah Sri Lestari Permatasari, Putri Ayu Pradista, Vyke Triawilly Prisma Brilliana Priyanti, Nanda Rahma Purwati, Ratna Puspitasari, Irsalina Dwi Putra, Andhi Septian Hadi Putri, Chika Ramadhanty Twine Ayu Q Qoriatul R. Azmil Musthafa, R. Azmil Rafiantika Megahnia Prihandini Randi Pratama Murtikusuma Randi Pratama Murtikusuma Ridho Alfarisi Ridho Alfarisi, Ridho Robiatul Adawiyah S Slamin S Suharto S Sunardi S Susanto Saddam Hussen Saddam Hussen Safira Izza Ghafrina Safira Izza Ghafrina Safitri, Fihrin Luqiyya Septiyan Roby Pratama, Septiyan Roby Setiawan, Renal Heldi Setiawan, Susi Setiawan, Toto’ Bara Setyowati, Henny sholihin, akhmad Siska Aprilia Hardiyanti Siska Binastuti Slamet Hariyadi Soleh Chudin Sufirman Sufirman Suharto Suharto Susanto Susanto Susi Setiawani Susi Setiawani Swasono Rahardjo Theriq Azis Al Husein Titik Sugiarti Titin Kartini Toto Bara Setiawan Trapsilasiswi, Dinawati Umi Azizah Anwar Vahad Agil Liyandri Viantasari, Erwinda Vutikatul Nur Rohmah Wati, Yuli Fajar WIHARDJO, EDY Wiharjo, Edy Yafi, M. Ali Yuli Kurniawati, Elsa Zainul Arifin