Inclusive Local Irregularity Vertex Coloring In Grid Graph Family

A. I. Kristiana, Alvian Bagus Agatha, Saddam Hussen, Rafiantika Megahnia Prihandini, Dian Kurniati, R. Alfarisi
{"title":"Inclusive Local Irregularity Vertex Coloring In Grid Graph Family","authors":"A. I. Kristiana, Alvian Bagus Agatha, Saddam Hussen, Rafiantika Megahnia Prihandini, Dian Kurniati, R. Alfarisi","doi":"10.18860/ca.v9i1.20947","DOIUrl":null,"url":null,"abstract":"Let  is a simple graph and connected where  is vertex set and  is edge set. A maping  as vertex k- labeling and function :  is inclusive local irregularity vertex coloring, with . The minimum number of colors produced from inclusive local irregularity vertex coloring of graph  is called inclusive chromatic number local irregularity, denoted by . On this paper, we learn about the inclusive local irregularity vertex coloring and determine the chromatic number on grid graph family.","PeriodicalId":388519,"journal":{"name":"CAUCHY: Jurnal Matematika Murni dan Aplikasi","volume":"3 11","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-05-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"CAUCHY: Jurnal Matematika Murni dan Aplikasi","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.18860/ca.v9i1.20947","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0

Abstract

Let  is a simple graph and connected where  is vertex set and  is edge set. A maping  as vertex k- labeling and function :  is inclusive local irregularity vertex coloring, with . The minimum number of colors produced from inclusive local irregularity vertex coloring of graph  is called inclusive chromatic number local irregularity, denoted by . On this paper, we learn about the inclusive local irregularity vertex coloring and determine the chromatic number on grid graph family.
网格图族中的包容性局部不规则顶点着色
设 为简单图,且连通,其中 为顶点集,为边集。作为顶点 k- 标记的映射和函数: 是包容性局部不规则顶点着色,有 。图的包容性局部不规则顶点着色产生的最小颜色数称为包容性色度数局部不规则,用 .本文将介绍包容性局部不规则顶点着色,并确定网格图族的色度数。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
求助全文
约1分钟内获得全文 求助全文
来源期刊
自引率
0.00%
发文量
0
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
确定
请完成安全验证×
copy
已复制链接
快去分享给好友吧!
我知道了
右上角分享
点击右上角分享
0
联系我们:info@booksci.cn Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术官方微信