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All Journal CAUCHY: Jurnal Matematika Murni dan Aplikasi Warta Pengabdian JPKMI (Jurnal Pengabdian Kepada Masyarakat Indonesia) Ethnomathematics Journal Jurnal Ilmu Pendidikan Sekolah Dasar CGANT JOURNAL OF MATHEMATICS AND APPLICATIONS Pancaran Pendidikan
Ridho Alfarisi
Program Studi Pendidikan Guru Sekolah Dasar, Universitas Jember, Indonesia
Agriculture, Biological Sciences & Forestry Arts Humanities Chemistry Computer Science & IT Education Environmental Science Languange, Linguistic, Communication & Media Mathematics Physics Public Health Social Sciences Other

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Journal : CGANT JOURNAL OF MATHEMATICS AND APPLICATIONS

 1 
Dimensi Metrik Ketetanggaan Lokal pada Graf Hasil Operasi Korona G odot P_3 dan G odot S_4 Alfin Nabila Taufik; Dafik Dafik; Rafiantika Megahnia Prihandini; Ridho Alfarisi
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 (350.338 KB) | DOI: 10.25037/cgantjma.v1i2.43

Abstract

There are variant of the metric dimensions in graph theory, one of them is a local adjacency metric dimension. Let $W\subset V(G)$ with $W=\{w_1,w_2,\dots,w_k\}$, the representation of the vertex $V\in V(G)$, $r_A(v|W)=(d_A(v,w_1),d_A(v,w_2),\dots,d_A(v,w_k))$ with $ d_ {A} (v, w) $= $ 0 $ if $ v = w $, $ d_ {A} (v, w) $=  $ 1 $ if $ v$ adjacent to $w $, and $ d_ {A} (v, w) $ =$ 2 $ if $ v $ does not adjacent to $ w $.  If every two adjacent vertices $ v_1 $, $ v_2 \in V (G) $,  $ r_ {A} (v_1 | W) \neq r_ {A} (v_2 | W) $, then $W$ is the minimum cardinality of the local adjacency metric dimension. The minimum cardinality of $W$ is called the local adjacency metric dimension number, denoted by $ \dim_{(A, l)} (G) $.  In this paper, we have found the  local adjacency metric dimension of corona product of special graphs, namely the $ L_n \odot {P_3} $ graph, $ S_n \odot {P_3} $ graph, $ C_n \odot {P_3} $ graph, $ P_n \odot {S_4} $ graph, and the graph $ L_n \odot {S_4} $. 
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. 
Co-Authors A Agustiningsih Alfin Nabila Taufik Annisa Fasya Purwanti Arika Indah Kristiana D. Dafik Dyah Ayu Puspitaningrum Dyah Ayu Puspitaningrum Fajar Surya Hutama Fatima tuzzahro Febrianti Yusvien Safitri Ganistya Mareta Putti Gita Indah Pratiwi Hari Satrijono M Firjoun Asiasi Moh. Alif Dio Utomo Mutiara Bilqis Mutrofin Mutrofin N. Nuriman, N. Niswatul Imsiyah Qurrotul A’yun Rafiantika Megahnia Prihandini Riska Purnamasari Rizka Damaiyanti Robiatul Adawiyah Robiatul Adawiyah Safira Wahyu Isnaini Siti Masruroh Suhartiningsih Suhartiningsih Sulthon Masyhud Titik Sugiarti Titin Kartini Umi Azizah Anwar Yuni Fitriyah Ningsih