Ahmad Musyaffa' Hikamuddin, D. Dafik, R. M. Prihandini
{"title":"Rainbow Vertex Antimagic Coloring 2-Connection paada Keluarga Graf Tangga","authors":"Ahmad Musyaffa' Hikamuddin, D. Dafik, R. M. Prihandini","doi":"10.25037/cgantjma.v3i2.88","DOIUrl":null,"url":null,"abstract":"All graph in this paper are connected graph and simple graph. Let G = (V,E)be a connected graph. Rainbow vertex connection is the assignment of G that has interior vertices with different colors. The minimum number of colors from the rainbow vertex coloring in graph G is called rainbow vertex connection number. If wf(u) ̸= wf(v) for two different vertext u, v ∈ V (G) then f is called antimagic labeling for graph G. Rainbow vertex antimagic coloring is a combination between rainbow coloring and antimagic labeling. Graph G is called rainbow vertex antimagic coloring 2-connection if G has at least 2 rainbow paths from u − v. Rainbow vertex antimagic coloring 2-connection to denoted as rvac2(G). In this paper, we will study rainbow vertex antimagic coloring 2-connection on a family of graphs ladder that includes H-graph Hn for n ≥ 2, slide ladder graph SLn for n ≥ 2, and graph Octa-Chain OCn for n ≥ 2.","PeriodicalId":305608,"journal":{"name":"CGANT JOURNAL OF MATHEMATICS AND APPLICATIONS","volume":"56 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2022-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"CGANT JOURNAL OF MATHEMATICS AND APPLICATIONS","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.25037/cgantjma.v3i2.88","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0

摘要

本文中所有的图都是连通图和简单图。设G = (V,E)为连通图。彩虹顶点连接是对具有不同颜色内部顶点的G的分配。图G中彩虹顶点着色的最小颜色数称为彩虹顶点连接数。对于两个不同的顶点u, v∈v (G),如果wf(u) = wf(v),则图G的f称为反魔术标记。彩虹顶点反魔术着色是彩虹着色与反魔术标记的结合。如果图G从u−v至少有两条彩虹路径,则图G称为彩虹顶点反魔法着色2-连接,表示为rvac2(G)。本文研究了一类图梯族上的彩虹顶点反幻着色2-连通问题,该图梯族包括n≥2时的h图Hn, n≥2时的滑梯图SLn, n≥2时的八链图OCn。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Rainbow Vertex Antimagic Coloring 2-Connection paada Keluarga Graf Tangga
All graph in this paper are connected graph and simple graph. Let G = (V,E)be a connected graph. Rainbow vertex connection is the assignment of G that has interior vertices with different colors. The minimum number of colors from the rainbow vertex coloring in graph G is called rainbow vertex connection number. If wf(u) ̸= wf(v) for two different vertext u, v ∈ V (G) then f is called antimagic labeling for graph G. Rainbow vertex antimagic coloring is a combination between rainbow coloring and antimagic labeling. Graph G is called rainbow vertex antimagic coloring 2-connection if G has at least 2 rainbow paths from u − v. Rainbow vertex antimagic coloring 2-connection to denoted as rvac2(G). In this paper, we will study rainbow vertex antimagic coloring 2-connection on a family of graphs ladder that includes H-graph Hn for n ≥ 2, slide ladder graph SLn for n ≥ 2, and graph Octa-Chain OCn for n ≥ 2.
求助全文
通过发布文献求助,成功后即可免费获取论文全文。 去求助
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:604180095
Book学术官方微信