{"title":"循环图的附加闭合性","authors":"C. Dangalchev","doi":"10.1142/s0129054122500149","DOIUrl":null,"url":null,"abstract":"The additional closeness is a very important characteristic of graphs. It measures the maximal closeness of a graph after adding a new link and it is an indication of the growth potential of graphs’ closeness. Most of the time calculating the additional closeness requires solving nontrivial optimization problems. In this article, the additional closenesses of cycles, gear, and some other graphs are calculated. Bounds for additional closeness of graphs are discussed.","PeriodicalId":192109,"journal":{"name":"Int. J. Found. Comput. Sci.","volume":"4 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2022-06-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"4","resultStr":"{\"title\":\"Additional Closeness of Cycle Graphs\",\"authors\":\"C. Dangalchev\",\"doi\":\"10.1142/s0129054122500149\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The additional closeness is a very important characteristic of graphs. It measures the maximal closeness of a graph after adding a new link and it is an indication of the growth potential of graphs’ closeness. Most of the time calculating the additional closeness requires solving nontrivial optimization problems. In this article, the additional closenesses of cycles, gear, and some other graphs are calculated. Bounds for additional closeness of graphs are discussed.\",\"PeriodicalId\":192109,\"journal\":{\"name\":\"Int. J. Found. Comput. Sci.\",\"volume\":\"4 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2022-06-10\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"4\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Int. J. Found. Comput. Sci.\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1142/s0129054122500149\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Int. J. Found. Comput. Sci.","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1142/s0129054122500149","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
The additional closeness is a very important characteristic of graphs. It measures the maximal closeness of a graph after adding a new link and it is an indication of the growth potential of graphs’ closeness. Most of the time calculating the additional closeness requires solving nontrivial optimization problems. In this article, the additional closenesses of cycles, gear, and some other graphs are calculated. Bounds for additional closeness of graphs are discussed.