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CGANT JOURNAL OF MATHEMATICS AND APPLICATIONS

cgant
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Published by Universitas Jember

ISSN : - EISSN : 27227774 DOI : https://doi.org/10.25037/cgantjma

Core Subject : Science, Education,

Computer Science & IT Other

Subjects suitable for publication include, the following fields of: Degree Diameter Problem in Graph Theory Large Graphs in Computer Science Mathematical Computation of Graph Theory Graph Coloring in Atomic and Molecular Graph Labeling in Coding Theory and Cryptography Dimensions of graphs on Control System Rainbow Connection in Delivery Design System Ramsey Theory and Its Application on Physics Graph Theory in Communication and Electrical Networks Graph Theory in Quantum Mechanics and Thermodynamics Spectral Graph Theory in Vibration and Noise Graph Theory in Statistical Physics and Mechanics Graph theory in Network of Quantum Oscillators Applied Mathematics on Environment, Biophysics and Engineering Machine Learning and Artificial Neural Networks Mathematical and Computational Education

Arjuna Subject : Matematika - Matematika Diskrit dan Kombinatori

Articles 52 Documents

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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

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

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

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

Konstruksi Rak Penataan Gelas Air Minum Menggunakan Hasil Deformasi Benda-Benda Geometri dan Kurva Bezier Hikmah Ardiantika Sari; Bagus Juliyanto; Firdaus Ubaidillah
CGANT JOURNAL OF MATHEMATICS AND APPLICATIONS Vol 2, No 1 (2021): CGANT JOURNAL OF MATHEMATICS AND APPLICATIONS
Publisher : jcgant

Drinking water glass shelves are used as containers that can hold drinking water with a growing model. Drinking water glass shelves is made using thecniques which produced from deformation of geometric objects and Bezier curves. This research aims to made produces procedures for designing buffers, main shelves and more varied reliefs with one axis and three modeling axes. This research method divided into several stages. First, construct some basic objects as constituent components of drinking water glass shelves from deformation of octagonal, tube, beams, and the ball. Second, set some basic objects of the component of drinking water glass shelves two types of modeling axis. Third, arrange program using Maple 13. The results of this research obtained the procedure for designing various forms of constituent components of drinking water glass shelves from the basic object of a octagonal, tube, beams, and the ball. Furthermore, the procedure for assembling the components of drinking water glass from the first procedure result on two types of modeling axis.

Dimensi Metrik Sisi Pada Beberapa Graf Unicyclic Bayu Aprilianto; Dafik Dafik; Ermita Rizki Albirri
CGANT JOURNAL OF MATHEMATICS AND APPLICATIONS Vol 1, No 2 (2020): CGANT JOURNAL OF MATHEMATICS AND APPLICATIONS
Publisher : jcgant

All the graphs in this paper are connected graphs and $d(e,v)$ is the length of the shortest path between $e=uv$ and $v$. Let $G=(V,E)$ where $V(G)$ is a set of vertex from graph $G$ while $E(G)$ is a set of edge from graph $G$. The edge metric dimension is a topic that is closely related to the cardinality of the distance of each edge on the graph $G$ with respect to the resolving set $W$ which is denoted by $dim_E(G)$. Let if the subset of vertex $W=\{w_1,w_2,w_3,...,$ $w_k\}$, then the representation of the distance of the $uv$ edge to the set of differences is k-tuple $r(uv|W)=(d(uv,w_1),d(uv,w_2),d(uv,w_3),...,d(uv,w_k)$. A unicyclic graph is one that only has exactly one cycle. In this paper, we will study edge metric dimensions on some families of unicyclic graphs.

Super (a; d)-H-Antimagic Total Covering of Triangular Cycle Ladder Graph for Developing Ciphertext Irma Azizah; Dafik Dafik; Slamin Slamin
CGANT JOURNAL OF MATHEMATICS AND APPLICATIONS Vol 1, No 1 (2020): CGANT JOURNAL OF MATHEMATICS AND APPLICATIONS
Publisher : jcgant

A (a; d)-H-antimagic total covering is a total labeling dari V (G) [ E(G) to integer number f1; 2; 3; :::; jV (G) [ E(G)jg with condition, every subgraph A inP P PG isomorphic with subgraph H A = v2V (A) (v) + e2E(A) (e) on arith-metic sequence. A graph containing the labeling called super (a; d)-H-antimagic total covering. Furthermore , f (v)gv2V = f1; :::; jV jg, is called graph super H antimagic. In this research used triangular Cycle Ladder Graph T CLn of con-nective to developing ciphertext. Key Word : Super H antimagic total selimut, Triangular Cycle Ladder Graph T CLn, Ciphertexts.

Pewarnaan Pelangi Antiajaib pada Amalgamasi Graf Riniatul Nur Wahidah; Dafik Dafik; Ermita Rizki Albirri
CGANT JOURNAL OF MATHEMATICS AND APPLICATIONS Vol 3, No 1 (2022): CGANT JOURNAL OF MATHEMATICS AND APPLICATIONS
Publisher : jcgant

Let $G$ is a connected graph with vertex set $V(G)$ and edge set $E(G)$. The side weights for $uv\in E(G) $ bijective function $f:V(G)\rightarrow\{1,2,\dots, |V(G)|\}$ and $ w(uv)= f(u)+f(v) $ . If each edge has a different weight, the function $f$ is called an antimagic edge point labeling. Is said to be a rainbow path, if a path $P$ on the graph labeled vertex $G$ with every two edges $ ,u'v'\in E(P) $ fulfill $ w(uv)\neq w(u'v') $. If for every two vertices $u,v \in V(G)$, their path $uv$ rainbow, $f$ is called the rainbow antimagic labeling of the graph $G$. Graph G is an antimagic coloring of the rainbow if we for each edge $uv$ weight color side $w(uv)$. The smallest number of colors induced from all sides is the rainbow antimagic connection number $G$, denoted by $rac(G)$. This study shows the results of the rainbow antimagic connection number from amalgamation graph.

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

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.

Analisa Antimagicness Super dari Shackle Graf Parasut dan Aplikasinya pada Polyalphabetic Cipher Riza Nurfadila; Ika Hesti Agustin; Kusbudiono Kusbudiono
CGANT JOURNAL OF MATHEMATICS AND APPLICATIONS Vol 2, No 1 (2021): CGANT JOURNAL OF MATHEMATICS AND APPLICATIONS
Publisher : jcgant

Super (\emph{a,d})-$\mathcal{H}$-antimagic total covering on a graph \emph{G}=(\emph{V,E}) is the total labeling of $\lambda$ of \emph {V(G)} $\cup$ \emph{E(G)} with positive integers \{1, 2, 3,\dots ,$|V(G) \cup E(G)|$\}, for any subgraph \emph{H'} of \emph{G} that is isomorphic to \emph{H} where $\sum$ \emph{H'} = $\sum_{v \in V(H)} \lambda (v ) + \sum_{e \in E(H)} \lambda (e)$ is an arithmetic sequence \{\emph{a, a+d, a+2d,\dots,a+(s-1)d}\} where \emph{a}, \emph{d} are positive numbers where \emph{a} is the first term, \emph{d} is the difference, and \emph{s} is the number of covers. If $\lambda(v)_{v \in V} = {1,2,3,\dots,|V(G)|}$ then the graph \emph{G} have the label of super $\mathcal{H}$-antimagic covering. One of the techniques that can be applied to get the super antimagic total covering on the graph is the partition technique. Graph applications that can be developed for super antimagic total covering are \emph{ciphertext} and \emph{streamcipher}. \emph{Ciphertext} is an encrypted message and is related to cryptography. \emph{Stream cipher} is an extension of \emph{Ciphertext}. This article study the super (a,d)-$\mathcal{H}$-antimagic total covering on the shackle of parachute graph and its application in \emph{ciphertext}. The graphs that used in this article are some parachute graphs denoted by \emph{shack}($\mathcal{P}_{m},e,n$).

Aktivitas Pembelajaran Berbasis Proyek Terintegrasi dalam Pendekatan STEM: Pemanfaatan Cardboard bekas dalam Mendesain VR (Virtual Reality) Berdasarkan Konsep Pembiasan Cahaya pada Lensa Cembung Sebagai Media Proyeksi Video 3D untuk Meningkatkan Metaliterasi Siswa Okti Anis Safiati; Dafik Dafik; Zainur Rasyid Ridlo
CGANT JOURNAL OF MATHEMATICS AND APPLICATIONS Vol 3, No 2 (2022): CGANT JOURNAL OF MATHEMATICS AND APPLICATIONS
Publisher : jcgant

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.25037/cgantjma.v3i2.80

After the Covid-19 pandemic, students are used to online learning, namely learning using gadgets. It is a fact that more students use their gadgets to play online games than educational sites. In playing online games students feel they are in a game that seems real. It's not uncommon for gamers to buy a VR box to play 3D games more realistically. VR or Virtual Reality is a medium of interaction between humans and computers that makes users feel that they are in a computer environment. The aim of this research is to make VR with the right and cheaper materials, namely used cardboard and plastic bottles. The results of this study are Virtual Reality to improve students' metalliteracy abilities. Metalliteration ability is very important in the industrial era 4.0. Metalliteracy is a comprehensive framework of thinking that goes beyond other literacy with the main literacy being technology and information literacy. This metalliteracy ability is still relatively new, therefore, in this study a project-based learning model that is integrated with the STEM (Science, Technology, Engineering, Mathematics) approach is applied to improve students' metalliteracy abilities by presenting STEM problem solving in learning. The STEM problem raised in this study is the use of used cardboard in making VR (virtual reality). Shiva made VR based on the concept of light refraction in convex mirrors, then PjBL and STEM tools were developed in learning to increase student metalliteracy by calculating the surface area of geometric shapes. The results of the research are in the form of learning activities in the form of table descriptions of 1-6 stages of learning activities.

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Zainur Rasyid Ridlo

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Jl. Kalimantan Tegalboto No.37, Krajan Timur, Sumbersari, Kec. Sumbersari, Kabupaten Jember, Jawa Timur 68121

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Kab. jember,

Jawa timur

INDONESIA

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Home Page

OAI Link

Editorial Team

Contact

Reviewer

Google Scholar

Contact Name Zainur Rasyid Ridlo

Contact Email cgant.unej@gmail.com

Phone +6285335111231

Journal Mail Official cgant.unej@gmail.com

Editorial Address Jl. Kalimantan Tegalboto No.37, Krajan Timur, Sumbersari, Kec. Sumbersari, Kabupaten Jember, Jawa Timur 68121

Location Kab. jember, Jawa timur INDONESIA

Abstract

Abstract

Abstract

Abstract

Abstract

Abstract

Abstract

Abstract

Abstract

Abstract

Contact Name
Zainur Rasyid Ridlo

Contact Email
cgant.unej@gmail.com

Phone
+6285335111231

Journal Mail Official
cgant.unej@gmail.com

Editorial Address
Jl. Kalimantan Tegalboto No.37, Krajan Timur, Sumbersari, Kec. Sumbersari, Kabupaten Jember, Jawa Timur 68121

Location
Kab. jember,

Jawa timur

INDONESIA