Garuda - Garba Rujukan Digital

Article Per Year (5 Year)

All

CGANT JOURNAL OF MATHEMATICS AND APPLICATIONS

cgant
Website

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

1 2 3 4 5

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

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)}

On the Domination Number of Some Graph Operations N Y. Sari; I H. Agustin; Dafik Dafik
CGANT JOURNAL OF MATHEMATICS AND APPLICATIONS Vol 1, No 1 (2020): CGANT JOURNAL OF MATHEMATICS AND APPLICATIONS
Publisher : jcgant

A set D of vertices of a simple graph G, that is a graph without loops and multiple edges, is called a dominating set if every vertex u ∈ V (G) − D is adja-cent to some vertex v ∈ D. The domination number of a graph G, denoted by γ(G), is the order of a smallest dominating set of G. A dominating set D with |D| = γ(G) is called a minimum dominating set. This research aims to char-acterize the domination number of some graph operations, namely joint graphs, coronation of graphs, graph compositions, tensor product of two graphs, and graph amalgamation. The results shows that most of the resulting domination numbers attain the given lower bound of γ(G). Keywords: Dominating set, domination number,

Rainbow Vertex Connection Number pada Keluarga Graf Roda Firman Firman; Dafik Dafik; Ermita Rizki Albirri
CGANT JOURNAL OF MATHEMATICS AND APPLICATIONS Vol 3, No 1 (2022): CGANT JOURNAL OF MATHEMATICS AND APPLICATIONS
Publisher : jcgant

The rainbow vertex connection was first introduced by krivelevich and yuster in 2009 which is an extension of the rainbow connection. Let graph $G =(V,E)$ is a connected graph. Rainbow vertex-connection is the assignment of color to the vertices of a graph $G$, if every vertex on graph $G$ is connected by a path that has interior vertices with different colors. The minimum number of colors from the rainbow vertex coloring in graph $G$ is called rainbow vertex connection number which is denoted $rvc(G)$. The result of the research are the rainbow vertex connection number of family wheel graphs.

Pengembangan Media Pembelajaran Berbasis TI pada Materi Penyajian Data Kelas VII untuk Meningkatkan Hasil Belajar Dinar Dwi Yuliyanti; Arika Indah Kristiana; Lioni Anka Monalisa
CGANT JOURNAL OF MATHEMATICS AND APPLICATIONS Vol 2, No 2 (2021): CGANT JOURNAL OF MATHEMATICS AND APPLICATIONS
Publisher : jcgant

The development of technology has a very big influence in various fields of human life, especially in the field of education. One of its uses is as a tool in the learning process. Technology-based learning can make learning more interesting, effective and efficient, so that students are more enthusiastic about learning and easy to understand the material presented. The model used is the Thiagarajan or 4-D model which consists of four stages, namely the define, design, develop, and dissenimante stages. There are three data collection techniques carried out in this study, namely validity, obtained through validation by the validator; practicality, obtained from media user response questionnaires by students; effectiveness, obtained through the results of student learning tests after using the media. The results showed that the correlation coefficient with a valid interpretation was very high at 0.94. The results of the media user response questionnaire with a percentage of 88.25%. The results of the learning test with a percentage of completeness reaching 85.18% indicate that the learning media can be categorized as effective.

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

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.

Chromatics Number of Operation Graphs Kiki Kurdianto; Ika Hesti Agustin; Dafik Dafik
CGANT JOURNAL OF MATHEMATICS AND APPLICATIONS Vol 1, No 1 (2020): CGANT JOURNAL OF MATHEMATICS AND APPLICATIONS
Publisher : jcgant

Let G = (V (G); E(G)) be connected nontrivial graph. Edge coloring is de-¯ned as c : E(G) ! f1; 2; :::; kg; k 2 N, with the conditions no edges adja-cent having the same color. Coloring k-color edges r-dynamic is edges color-ing as much as k color such that every edges in E(G) with adjacent at least minfr; d(u) + d(v) ¡ 2g have di®erent color. An Edge r dynamic is a proper c of E(G) such that jc(N(uv))j = minfr; d(u) + d(v) ¡ 2g, for each edge N(uv) is the neighborhood of uv and c(N(uv)) is color used to with adjacent edges of uv. the edge r-dynamic chromatic number, written as ¸(G), is the minimum k such that G has an edge r-dynamic k-coloring. chromatic number 1-dynamic writ-ten as ¸(G), chromatic number 2-dynamic written as ¸d(G) And for chromatic number r-dynamic written as ¸(G). A graph is used in this research namely gshack(H3; e; n), amal(Bt3; v; n) and amal(S4; v; n). Keywords: r-dynamic coloring, r-dynamic chromatic number, graph operations.

Analisa Himpunan Dominasi Lokasi pada Model Topologi Graf Khusus dan Operasinya Reyka Bella Desvandai; Ika Hesti Agustin; Kusbudiono Kusbudiono
CGANT JOURNAL OF MATHEMATICS AND APPLICATIONS Vol 2, No 2 (2021): CGANT JOURNAL OF MATHEMATICS AND APPLICATIONS
Publisher : jcgant

Misalkan $G=(V,E)$ adalah graf sederhana tidak berarah dan terhubung dengan himpunan titik $V$ dan himpunan sisi $E$. Himpunan $D\in V(G)$ dikatakan himpunan dominasi lokasi dari suatu graf terhubung $G$ jika setiap dua titik yang berbeda $u,v \in V(G)\ D$, $N(u)\cap D\neq N(v)\cap D$. Kardinalitas minimal dari himpunan dominasi lokasi disebut nilai himpunan dominasi lokasi dari graf $G$ yang disimbolkan dengan $\gamma_L(G)$. Penelitian ini menghasilkan nilai himpunan dominasi lokasi pada beberapa graf khusus dan operasinya.

Analisa Pewarnaan Total r-Dinamis pada Graf Lintasan dan Graf Hasil Operasi Desi Febriani Putri; Dafik Dafik; Kusbudiono Kusbudiono
CGANT JOURNAL OF MATHEMATICS AND APPLICATIONS Vol 2, No 1 (2021): CGANT JOURNAL OF MATHEMATICS AND APPLICATIONS
Publisher : jcgant

Graph coloring began to be developed into coloring dynamic. One of the developments of dynamic coloring is $r$-dynamic total coloring. Suppose $G=(V(G),E(G))$ is a non-trivial connected graph. Total coloring is defined as $c:(V(G) \cup E(G))\rightarrow {1,2,...,k}, k \in N$, with condition two adjacent vertices and the edge that is adjacent to the vertex must have a different color. $r$-dynamic total coloring defined as the mapping of the function $c$ from the set of vertices and edges $(V(G)\cup E(G))$ such that for every vertex $v \in V(G)$ satisfy $|c(N(v))| = min{[r,d(v)+|N(v)|]}$, and for each edge $e=uv \in E(G)$ satisfy $|c(N(e))| = min{[r,d(u)+d(v)]}$. The minimal $k$ of color is called $r$-dynamic total chromatic number denoted by $\chi^{\prime\prime}(G)$. The $1$-dynamic total chromatic number is denoted by $\chi^{\prime\prime}(G)$, chromatic number $2$-dynamic denoted with $\chi^{\prime\prime}_d(G)$ and $r$-dynamic chromatic number denoted by $\chi^{\prime\prime}_r(G)$. The graph that used in this research are path graph, $shackle$ of book graph $(shack(B_2,v,n)$ and \emph{generalized shackle} of graph \emph{friendship} $gshack({\bf F}_4,e,n)$.

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

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

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.

Page 1 of 6 | Total Record : 52

1 2 3 4 5

Filter by Year

2020 2023

Filter By Issues

All Issue Vol 4, No 1 (2023): CGANT JOURNAL OF MATHEMATICS AND APPLICATIONS Vol 3, No 2 (2022): CGANT JOURNAL OF MATHEMATICS AND APPLICATIONS Vol 3, No 1 (2022): CGANT JOURNAL OF MATHEMATICS AND APPLICATIONS Vol 2, No 2 (2021): CGANT JOURNAL OF MATHEMATICS AND APPLICATIONS Vol 2, No 1 (2021): CGANT JOURNAL OF MATHEMATICS AND APPLICATIONS Vol 1, No 2 (2020): CGANT JOURNAL OF MATHEMATICS AND APPLICATIONS Vol 1, No 1 (2020): CGANT JOURNAL OF MATHEMATICS AND APPLICATIONS

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

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