CGANT JOURNAL OF MATHEMATICS AND APPLICATIONS
Vol 2, No 1 (2021): CGANT JOURNAL OF MATHEMATICS AND APPLICATIONS

Pewarnaan Ketakteraturan Lokal Inklusif pada Keluarga Graf Pohon Tree

Umi Azizah Anwar (University of Jember)
Arika Indah Kristiana (University of Jember)
Arif Fatahillah (University of Jember)
Dafik Dafik (University of Jember)
Ridho Alfarisi (University of Jember)

Article Info

Publish Date
22 Jun 2021

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. 

Copyrights © 2021




Citation Download
RIS
EndNote, Reference Manager, ProCite
BibTex
Latex, Jabref
Full PDF
289.093 KB
Original Source
Download Original
Google Scholar
Check in Google Scholar
Journal Info
CGANT JOURNAL OF MATHEMATICS AND APPLICATIONS
Website

Abbrev

cgant

Publisher

Universitas Jember

Subject

Computer Science & IT Other

Description

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 ...