{"title":"若干图的m-影图的sombor指数","authors":"Abirami., Mohanapriya N","doi":"10.26524/krj.2022.16","DOIUrl":null,"url":null,"abstract":"This new topological invariant is applied in the areas of chemical graph theory. In this paper we have obtained the Sombor index of m−shadow graphs of path graph Dm(Pn), cycle graph Dm(Cn), ladder graph Dm(Ln) and tadpole graph Dm(Tn,p). We have also concluded that, the Sombor index of m-shadow graph of any regular or finite connected graph G is SO(G)m3","PeriodicalId":178674,"journal":{"name":"Kongunadu Research Journal","volume":"313 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2022-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On sombor index of m-shadow graph of some graphs\",\"authors\":\"Abirami., Mohanapriya N\",\"doi\":\"10.26524/krj.2022.16\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This new topological invariant is applied in the areas of chemical graph theory. In this paper we have obtained the Sombor index of m−shadow graphs of path graph Dm(Pn), cycle graph Dm(Cn), ladder graph Dm(Ln) and tadpole graph Dm(Tn,p). We have also concluded that, the Sombor index of m-shadow graph of any regular or finite connected graph G is SO(G)m3\",\"PeriodicalId\":178674,\"journal\":{\"name\":\"Kongunadu Research Journal\",\"volume\":\"313 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2022-12-31\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Kongunadu Research Journal\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.26524/krj.2022.16\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Kongunadu Research Journal","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.26524/krj.2022.16","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
This new topological invariant is applied in the areas of chemical graph theory. In this paper we have obtained the Sombor index of m−shadow graphs of path graph Dm(Pn), cycle graph Dm(Cn), ladder graph Dm(Ln) and tadpole graph Dm(Tn,p). We have also concluded that, the Sombor index of m-shadow graph of any regular or finite connected graph G is SO(G)m3