{"title":"稀疏随机图中支配数的估计及其应用","authors":"Martin Nehéz, Dusan Bernát, M. Lelovský","doi":"10.1145/3123779.3123801","DOIUrl":null,"url":null,"abstract":"Motivated by airborne intruder detection and defence systems, we examine sparse random graphs with linear number of connections. We establish theoretical bounds on domination number and our analysis gives a partial solution of the problem posed in [6]. Our computer simulations are based on the integer linear programming optimization method. The experimental results verify our analytical estimations and suggest a direction for the future research.","PeriodicalId":405980,"journal":{"name":"Proceedings of the Fifth European Conference on the Engineering of Computer-Based Systems","volume":"52 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2017-08-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"Estimation of the domination number in sparse random graphs and applications\",\"authors\":\"Martin Nehéz, Dusan Bernát, M. Lelovský\",\"doi\":\"10.1145/3123779.3123801\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Motivated by airborne intruder detection and defence systems, we examine sparse random graphs with linear number of connections. We establish theoretical bounds on domination number and our analysis gives a partial solution of the problem posed in [6]. Our computer simulations are based on the integer linear programming optimization method. The experimental results verify our analytical estimations and suggest a direction for the future research.\",\"PeriodicalId\":405980,\"journal\":{\"name\":\"Proceedings of the Fifth European Conference on the Engineering of Computer-Based Systems\",\"volume\":\"52 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2017-08-31\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings of the Fifth European Conference on the Engineering of Computer-Based Systems\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1145/3123779.3123801\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings of the Fifth European Conference on the Engineering of Computer-Based Systems","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1145/3123779.3123801","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Estimation of the domination number in sparse random graphs and applications
Motivated by airborne intruder detection and defence systems, we examine sparse random graphs with linear number of connections. We establish theoretical bounds on domination number and our analysis gives a partial solution of the problem posed in [6]. Our computer simulations are based on the integer linear programming optimization method. The experimental results verify our analytical estimations and suggest a direction for the future research.