{"title":"完全顶点魔术亲切标签","authors":"P. Jeyanthi, N. A. Benseera","doi":"10.55937/sut/1378309917","DOIUrl":null,"url":null,"abstract":"In this paper, we introduce a new labeling called Totally VertexMagic Cordial(TVMC) labeling. A graph G(p, q) is said to be TVMC with a constant C if there is a mapping f : V (G) ∪ E(G) → {0, 1} such that f(a) + ∑ b∈N(a) f(ab) ≡ C (mod 2) for all vertices a ∈ V (G) and |nf (0)− nf (1)| ≤ 1, where N(a) is the set of vertices adjacent to the vertex a and nf (i)(i = 0, 1) is the sum of the number of vertices and edges with label i. AMS 2010 Mathematics Subject Classification. 05C78.","PeriodicalId":38708,"journal":{"name":"SUT Journal of Mathematics","volume":"29 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2013-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Totally vertex-magic cordial labeling\",\"authors\":\"P. Jeyanthi, N. A. Benseera\",\"doi\":\"10.55937/sut/1378309917\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we introduce a new labeling called Totally VertexMagic Cordial(TVMC) labeling. A graph G(p, q) is said to be TVMC with a constant C if there is a mapping f : V (G) ∪ E(G) → {0, 1} such that f(a) + ∑ b∈N(a) f(ab) ≡ C (mod 2) for all vertices a ∈ V (G) and |nf (0)− nf (1)| ≤ 1, where N(a) is the set of vertices adjacent to the vertex a and nf (i)(i = 0, 1) is the sum of the number of vertices and edges with label i. AMS 2010 Mathematics Subject Classification. 05C78.\",\"PeriodicalId\":38708,\"journal\":{\"name\":\"SUT Journal of Mathematics\",\"volume\":\"29 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2013-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"SUT Journal of Mathematics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.55937/sut/1378309917\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"Mathematics\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"SUT Journal of Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.55937/sut/1378309917","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"Mathematics","Score":null,"Total":0}
引用次数: 1
摘要
在本文中，我们引入了一种新的标记称为完全VertexMagic Cordial(TVMC)标记。一个图G (p, q)据说是TVMC常数C如果有一个映射f: V (G)∪E (G)→{0,1}这样f (A) +∑b N (A)∈f (ab)≡C (mod 2)∈的所有顶点V (G)和| nf(0)−nf(1) |≤1,N (A)是一组顶点相邻的顶点和nf (i) (i = 0,1)是顶点和边的数量的总和与标签我。AMS 2010数学主题分类。05 c78。
In this paper, we introduce a new labeling called Totally VertexMagic Cordial(TVMC) labeling. A graph G(p, q) is said to be TVMC with a constant C if there is a mapping f : V (G) ∪ E(G) → {0, 1} such that f(a) + ∑ b∈N(a) f(ab) ≡ C (mod 2) for all vertices a ∈ V (G) and |nf (0)− nf (1)| ≤ 1, where N(a) is the set of vertices adjacent to the vertex a and nf (i)(i = 0, 1) is the sum of the number of vertices and edges with label i. AMS 2010 Mathematics Subject Classification. 05C78.
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