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All Journal Jurnal Edukasi Universitas Jember KADIKMA CAUCHY: Jurnal Matematika Murni dan Aplikasi Tadris: Jurnal keguruan dan Ilmu Tarbiyah UNEJ e-Proceeding BAREKENG: Jurnal Ilmu Matematika dan Terapan JPKMI (Jurnal Pengabdian Kepada Masyarakat Indonesia) Contemporary Mathematics and Applications (ConMathA) Jurnal Diferensial CGANT JOURNAL OF MATHEMATICS AND APPLICATIONS Pancaran Pendidikan
Arika Indah Kristiana
Universitas Jember
Humanities Chemistry Computer Science & IT Control & Systems Engineering Decision Sciences, Operations Research & Management Economics, Econometrics & Finance Education Energy Engineering Environmental Science Languange, Linguistic, Communication & Media Materials Science & Nanotechnology Mathematics Mechanical Engineering Physics Public Health Social Sciences Transportation Other

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Journal : CAUCHY: Jurnal Matematika Murni dan Aplikasi

 1 
On The Local Edge Antimagic Coloring of Corona Product of Path and Cycle Aisyah, Siti; Alfarisi, Ridho; Prihandini, Rafiantika M.; Kristiana, Arika Indah; Christyanti, Ratna Dwi
CAUCHY Vol 6, No 1 (2019): CAUCHY: Jurnal Matematika Murni dan Aplikasi
Publisher : Mathematics Department, Maulana Malik Ibrahim State Islamic University of Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (716.577 KB) | DOI: 10.18860/ca.v6i1.8054

Abstract

Let  be a nontrivial and connected graph of vertex set  and edge set  . A bijection  is called a local edge antimagic labeling if for any two adjacent edges  and , where for . Thus, the local edge antimagic labeling induces a proper edge coloring of G if each edge e assigned the color  . The color of each an edge e = uv is assigned bywhich is defined by the sum of label both and vertices  and  . The local edge antimagic chromatic number, denoted by  is the minimum number of colors taken over all colorings induced by local edge antimagic labeling of   . In our paper, we present the local edge antimagic coloring of corona product of path and cycle, namely path corona cycle, cycle corona path, path corona path, cycle corona cycle.Keywords: Local antimagic; edge coloring; corona product; path; cycle.
on Graceful Chromatic Number of Vertex amalgamation of Tree Graph Family Arika Indah Kristiana; Ahmad Aji; Edy Wihardjo; Deddy Setiawan
CAUCHY: Jurnal Matematika Murni dan Aplikasi Vol 7, No 3 (2022): 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.v7i3.16334

Abstract

Proper vertex coloring c of a graph G is a graceful coloring if c is a graceful k-coloring for k∈{1,2,3,…}. Definition graceful k-coloring of a graph G=(V,E) is a proper vertex coloring c:V(G)→{1,2,…,k);k≥2, which induces a proper edge coloring c':E(G)→{1,2,…,k-1} defined c'(uv)=|c(u)-c(v)|. The minimum vertex coloring from graph G can  be colored with graceful coloring called a graceful chromatic number with notation χg (G). In this paper, we will investigate the graceful chromatic number of vertex amalgamation of tree graph family with some graph is path graph, centipede graph, broom and E graph.
On Irregular Colorings of Unicyclic Graph Family Arika Indah Kristiana; Dafik Dafik; Qurrotul A’yun; Robiatul Adawiyah; Ridho Alfarisi
CAUCHY: Jurnal Matematika Murni dan Aplikasi Vol 7, No 4 (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.v7i4.16917

Abstract

Irregular coloring is a proper coloring and each vertex on a graph must have a different code. The color code of a vertex v is  where  and    is the number of vertices that are adjacent to v and colored i. The minimum k-color used in irregular coloring is called the irregular chromatic number and denoted by . In this paper, we discuss the irregular chromatic number for the bull graph, pan graph, sun graph, peach graph, and caveman graph. 
Co-Authors Agevia Aquareisa Kharnadara Ahmad Aji Anis Nur Afni Bunga Ayu Desy Permatasari Bunga Ayu Desy Permatasari, Bunga Ayu Cici Fitri Lestari D Dimas D Dimas, D D. Dafik Deddy Setiawan Deddy Setyawan Deninta Dwi Ayu Lestari Desi Febriani Putri Devira Ayu Nurandari Devira Ayu Nurandari, Devira Ayu Dewi Santi Dewi Santi, Dewi Dian Kurniati Didik Sugeng Pambudi Dimas Ardiansyah Ramadhan Dimas Ardiansyah Ramadhan Dinar Dwi Yuliyanti Dinawati Trapsilasiwi Dwi Roby Pramono Dwi Roby Pramono Dwi Sylvia Hanafi Dwi Sylvia Hanafi Edy Wihardjo Eka Cahya Lestari Eka Cahya Lestari, Eka Cahya Eka Wulandari Fauziah Eko Gunariyanto Eko Gunariyanto Elsa Yuli Kurniawati Erica Dian P Erica Dian P Ermita Rizki Albirri Ernita Sukarno Dewi Hobri I Made Tirta Ilmiatun Nuroeni Karuniaji Fitra Insani Karuniaji Fitra Insani Khilyah Munawaroh Kusbudiono Kusbudiono, Kusbudiono Lioni Anka Monalisa, Lioni Anka Mohammad Fadli Rahman Mohammad Fadli Rahman Muhammad Gufronil Halim Muhammad Ja'far Muhammad Lutfi Asy’ari Niswatul Imsiyah Nurina Anggun Ratnaningtyas Nurina Anggun Ratnaningtyas Nurita Kusumawati Prihandini, Rafiantika M. Qurrotul A’yun Rafelita Faradila Sandi Rafiantika Megahnia Prihandini Ratna Dwi Christyanti, Ratna Dwi Retno Nur Khasanah Retno Nur Khasanah Ridho Alfarisi Ridho Alfarisi, Ridho Rizky Astarina Rizky Astarina, Rizky Robiatul Adawiyah Robiatul Adawiyah Robiatul Adawiyah Robiatul Adawiyah S Suharto S Suharto S Sunardi S Sunardi S Susanto S Susanto Saddam Hussen Siti Aisyah Slamin Sunardi, Sunardi Surya Indriani Susi Setiawani Tika Nurpitasari Titik Sugiarti Titin Kartini Toto Bara Setiawan Umi Azizah Anwar Wirdah Pramita N Wirdah Pramita N Zainur Rasyid Ridlo