{"title":"固有区间图上最小连通支配集的求解","authors":"Jinqin Tian, Hongsheng Ding","doi":"10.1109/ISCID.2013.25","DOIUrl":null,"url":null,"abstract":"To solve connected dominating problem, it is necessary to find minimum connected dominating set (MCDS for short). However, to find MCDS is NP-hardness. So, a model of graphs called interval graph was constructed from nodes of related network. Two greedy algorithms with linear (or polynomial time) were used to find MCDS on proper interval graph (or interval graph), and have 1 approximation ratio on the graphs. And spanning trees were constructed and used to validate the correctness and effectiveness of corresponding algorithms.","PeriodicalId":297027,"journal":{"name":"2013 Sixth International Symposium on Computational Intelligence and Design","volume":"468 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2013-10-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Solving Minimum Connected Dominating Set on Proper Interval Graph\",\"authors\":\"Jinqin Tian, Hongsheng Ding\",\"doi\":\"10.1109/ISCID.2013.25\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"To solve connected dominating problem, it is necessary to find minimum connected dominating set (MCDS for short). However, to find MCDS is NP-hardness. So, a model of graphs called interval graph was constructed from nodes of related network. Two greedy algorithms with linear (or polynomial time) were used to find MCDS on proper interval graph (or interval graph), and have 1 approximation ratio on the graphs. And spanning trees were constructed and used to validate the correctness and effectiveness of corresponding algorithms.\",\"PeriodicalId\":297027,\"journal\":{\"name\":\"2013 Sixth International Symposium on Computational Intelligence and Design\",\"volume\":\"468 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2013-10-28\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2013 Sixth International Symposium on Computational Intelligence and Design\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ISCID.2013.25\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2013 Sixth International Symposium on Computational Intelligence and Design","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ISCID.2013.25","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Solving Minimum Connected Dominating Set on Proper Interval Graph
To solve connected dominating problem, it is necessary to find minimum connected dominating set (MCDS for short). However, to find MCDS is NP-hardness. So, a model of graphs called interval graph was constructed from nodes of related network. Two greedy algorithms with linear (or polynomial time) were used to find MCDS on proper interval graph (or interval graph), and have 1 approximation ratio on the graphs. And spanning trees were constructed and used to validate the correctness and effectiveness of corresponding algorithms.
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