{"title":"重量级v4顶点幻图标注的结果","authors":"S. Kavitha, V. L. Stella, Arputha Mary","doi":"10.47750/pnr.2023.14.s01.121","DOIUrl":null,"url":null,"abstract":"Let V4 be an abelian group under multiplication. Let g : E(G) →V4 −{1}. The vertex magic labeling on V4 is defined as the vertex labeling g∗ : V (G) →V4 such that ), where the product is taken over all edges uv of G incident at v is a constant. If the constant is 1, it becomes a Hefty V4-vertex magic labeling. A graph is said to be Hefty V4-magic graph if it admits a Hefty V4-vertex magic labeling. In this paper we investigate the Hefty V4-vertex magic labeling behaviour of graphs like Bipartite, Complete graph, Cayley graph etc.","PeriodicalId":16728,"journal":{"name":"Journal of Pharmaceutical Negative Results","volume":"40 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2023-01-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Results on Hefty V4-Vertex Magic Graph Labeling\",\"authors\":\"S. Kavitha, V. L. Stella, Arputha Mary\",\"doi\":\"10.47750/pnr.2023.14.s01.121\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Let V4 be an abelian group under multiplication. Let g : E(G) →V4 −{1}. The vertex magic labeling on V4 is defined as the vertex labeling g∗ : V (G) →V4 such that ), where the product is taken over all edges uv of G incident at v is a constant. If the constant is 1, it becomes a Hefty V4-vertex magic labeling. A graph is said to be Hefty V4-magic graph if it admits a Hefty V4-vertex magic labeling. In this paper we investigate the Hefty V4-vertex magic labeling behaviour of graphs like Bipartite, Complete graph, Cayley graph etc.\",\"PeriodicalId\":16728,\"journal\":{\"name\":\"Journal of Pharmaceutical Negative Results\",\"volume\":\"40 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2023-01-25\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Pharmaceutical Negative Results\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.47750/pnr.2023.14.s01.121\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"Pharmacology, Toxicology and Pharmaceutics\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Pharmaceutical Negative Results","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.47750/pnr.2023.14.s01.121","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"Pharmacology, Toxicology and Pharmaceutics","Score":null,"Total":0}
引用次数: 0
摘要
设V4是一个乘法作用下的阿贝尔群。设g: E(g)→V4−{1}。V4上的顶点魔幻标记被定义为顶点标记g *: V (g)→V4，使得)，其中在所有边上的积取在V处发生的g的uv为常数。如果常数是1，它就变成了一个巨大的v4顶点标记。如果一个图承认一个巨大的v4顶点魔术标记，我们就说它是一个巨大的v4魔术图。本文研究了二部图、完全图、Cayley图等图的巨大v4顶点魔幻标记行为。
Let V4 be an abelian group under multiplication. Let g : E(G) →V4 −{1}. The vertex magic labeling on V4 is defined as the vertex labeling g∗ : V (G) →V4 such that ), where the product is taken over all edges uv of G incident at v is a constant. If the constant is 1, it becomes a Hefty V4-vertex magic labeling. A graph is said to be Hefty V4-magic graph if it admits a Hefty V4-vertex magic labeling. In this paper we investigate the Hefty V4-vertex magic labeling behaviour of graphs like Bipartite, Complete graph, Cayley graph etc.
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