{"title":"电晕图的邻顶点区分全着色","authors":"S. S. K.Manikandan","doi":"10.15520/AJCEM.2015.VOL4.ISS1.20.PP8-19","DOIUrl":null,"url":null,"abstract":"An adjacent vertex distinguishing total coloring of a graph is a proper total coloring of such that any pair of adjacent vertices have different color sets. The minimum number of colors needed for such an adjacent vertex distinguishing total coloring of is its chromatic number and is denoted by In this paper, we have obtained the chromatic number of adjacent vertex distinguishing total coloring(AVDTC) of the following corona graphs: (i) (path, by path, ) (ii) (cycle, by cycle, ) (iii) (complete graph, by complete graph, ) (iv) (path, by cycle, ) (v) (cycle, by path, ) (vi) (complete graph, by path, ) (vii) (complete graph, by cycle, ) AMS Subject Classification: 05C15","PeriodicalId":173381,"journal":{"name":"Asian Journal of Current Engineering and Maths","volume":"79 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2015-03-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Adjacent Vertex Distinguishing Total Coloring Of Corona Graphs\",\"authors\":\"S. S. K.Manikandan\",\"doi\":\"10.15520/AJCEM.2015.VOL4.ISS1.20.PP8-19\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"An adjacent vertex distinguishing total coloring of a graph is a proper total coloring of such that any pair of adjacent vertices have different color sets. The minimum number of colors needed for such an adjacent vertex distinguishing total coloring of is its chromatic number and is denoted by In this paper, we have obtained the chromatic number of adjacent vertex distinguishing total coloring(AVDTC) of the following corona graphs: (i) (path, by path, ) (ii) (cycle, by cycle, ) (iii) (complete graph, by complete graph, ) (iv) (path, by cycle, ) (v) (cycle, by path, ) (vi) (complete graph, by path, ) (vii) (complete graph, by cycle, ) AMS Subject Classification: 05C15\",\"PeriodicalId\":173381,\"journal\":{\"name\":\"Asian Journal of Current Engineering and Maths\",\"volume\":\"79 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2015-03-07\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Asian Journal of Current Engineering and Maths\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.15520/AJCEM.2015.VOL4.ISS1.20.PP8-19\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Asian Journal of Current Engineering and Maths","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.15520/AJCEM.2015.VOL4.ISS1.20.PP8-19","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Adjacent Vertex Distinguishing Total Coloring Of Corona Graphs
An adjacent vertex distinguishing total coloring of a graph is a proper total coloring of such that any pair of adjacent vertices have different color sets. The minimum number of colors needed for such an adjacent vertex distinguishing total coloring of is its chromatic number and is denoted by In this paper, we have obtained the chromatic number of adjacent vertex distinguishing total coloring(AVDTC) of the following corona graphs: (i) (path, by path, ) (ii) (cycle, by cycle, ) (iii) (complete graph, by complete graph, ) (iv) (path, by cycle, ) (v) (cycle, by path, ) (vi) (complete graph, by path, ) (vii) (complete graph, by cycle, ) AMS Subject Classification: 05C15