{"title":"单基因半群图的基于顶点度的指标","authors":"Seda Oğuz Ünal","doi":"10.54286/ikjm.1160312","DOIUrl":null,"url":null,"abstract":"Albertson and the reduced Sombor indices are vertex-degree-based graph invariants that given in [5] and [18], defined as \n \nAlb(G)=\\sum_{uv\\in E(G)}\\left|d_{u}-d_{v}\\right|, SO_{red}(G)=\\sum_{uv\\in E(G)}\\sqrt{(d_{u}-1)^{2}+(d_{v}-1)^{2}}, \n \nrespectively. \n \nIn this work we show that a calculation of Albertson and reduced Sombor index which are vertex-degree-based topological indices, over monogenic semigroup graphs.","PeriodicalId":114258,"journal":{"name":"Ikonion Journal of Mathematics","volume":"10 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2022-10-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On Vertex-Degree-Based Indices of Monogenic Semigroup Graphs\",\"authors\":\"Seda Oğuz Ünal\",\"doi\":\"10.54286/ikjm.1160312\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Albertson and the reduced Sombor indices are vertex-degree-based graph invariants that given in [5] and [18], defined as \\n \\nAlb(G)=\\\\sum_{uv\\\\in E(G)}\\\\left|d_{u}-d_{v}\\\\right|, SO_{red}(G)=\\\\sum_{uv\\\\in E(G)}\\\\sqrt{(d_{u}-1)^{2}+(d_{v}-1)^{2}}, \\n \\nrespectively. \\n \\nIn this work we show that a calculation of Albertson and reduced Sombor index which are vertex-degree-based topological indices, over monogenic semigroup graphs.\",\"PeriodicalId\":114258,\"journal\":{\"name\":\"Ikonion Journal of Mathematics\",\"volume\":\"10 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2022-10-13\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Ikonion Journal of Mathematics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.54286/ikjm.1160312\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Ikonion Journal of Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.54286/ikjm.1160312","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
On Vertex-Degree-Based Indices of Monogenic Semigroup Graphs
Albertson and the reduced Sombor indices are vertex-degree-based graph invariants that given in [5] and [18], defined as
Alb(G)=\sum_{uv\in E(G)}\left|d_{u}-d_{v}\right|, SO_{red}(G)=\sum_{uv\in E(G)}\sqrt{(d_{u}-1)^{2}+(d_{v}-1)^{2}},
respectively.
In this work we show that a calculation of Albertson and reduced Sombor index which are vertex-degree-based topological indices, over monogenic semigroup graphs.