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All Journal CGANT JOURNAL OF MATHEMATICS AND APPLICATIONS
Umi Azizah Anwar
University of Jember
Computer Science & IT Other

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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 Arika Indah Kristiana D. Dafik Ridho Alfarisi