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.