{"title":"超图中的边稳定集和安全边稳定集","authors":"D. Thakkar, V. Dave","doi":"10.5815/IJMSC.2019.02.6","DOIUrl":null,"url":null,"abstract":"In this paper, we have proved several results regarding edge stable sets and maximal edge stable sets in hypergraphs. We have also proved various results regarding edge stable sets and maximal edge stable sets in partial subhypergraphs. We have introduced the concept of secured edge stable set, maximum secured edge stable set and is 1 Set in this paper and proved several results about them.","PeriodicalId":312036,"journal":{"name":"International Journal of Mathematical Sciences and Computing","volume":"80 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2019-04-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":"{\"title\":\"Edge Stable Sets and Secured Edge Stable Sets in Hypergraphs\",\"authors\":\"D. Thakkar, V. Dave\",\"doi\":\"10.5815/IJMSC.2019.02.6\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we have proved several results regarding edge stable sets and maximal edge stable sets in hypergraphs. We have also proved various results regarding edge stable sets and maximal edge stable sets in partial subhypergraphs. We have introduced the concept of secured edge stable set, maximum secured edge stable set and is 1 Set in this paper and proved several results about them.\",\"PeriodicalId\":312036,\"journal\":{\"name\":\"International Journal of Mathematical Sciences and Computing\",\"volume\":\"80 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2019-04-08\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"3\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"International Journal of Mathematical Sciences and Computing\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.5815/IJMSC.2019.02.6\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Mathematical Sciences and Computing","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.5815/IJMSC.2019.02.6","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Edge Stable Sets and Secured Edge Stable Sets in Hypergraphs
In this paper, we have proved several results regarding edge stable sets and maximal edge stable sets in hypergraphs. We have also proved various results regarding edge stable sets and maximal edge stable sets in partial subhypergraphs. We have introduced the concept of secured edge stable set, maximum secured edge stable set and is 1 Set in this paper and proved several results about them.
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