{"title":"完全图中重构哈密顿循环的最优查询界","authors":"Vladimir Grebinski, G. Kucherov","doi":"10.1109/ISTCS.1997.595169","DOIUrl":null,"url":null,"abstract":"This paper studies four combinatorial search models of reconstructing a fixed unknown Hamiltonian cycle in the complete graph by means of queries about subgraphs. For each model, an efficient algorithm is proposed that matches asymptotically the information-theoretic lower bound. The problem is motivated by an application to genome physical mapping.","PeriodicalId":367160,"journal":{"name":"Proceedings of the Fifth Israeli Symposium on Theory of Computing and Systems","volume":"1 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1997-06-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"18","resultStr":"{\"title\":\"Optimal query bounds for reconstructing a Hamiltonian cycle in complete graphs\",\"authors\":\"Vladimir Grebinski, G. Kucherov\",\"doi\":\"10.1109/ISTCS.1997.595169\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This paper studies four combinatorial search models of reconstructing a fixed unknown Hamiltonian cycle in the complete graph by means of queries about subgraphs. For each model, an efficient algorithm is proposed that matches asymptotically the information-theoretic lower bound. The problem is motivated by an application to genome physical mapping.\",\"PeriodicalId\":367160,\"journal\":{\"name\":\"Proceedings of the Fifth Israeli Symposium on Theory of Computing and Systems\",\"volume\":\"1 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1997-06-17\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"18\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings of the Fifth Israeli Symposium on Theory of Computing and Systems\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ISTCS.1997.595169\",\"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 Israeli Symposium on Theory of Computing and Systems","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ISTCS.1997.595169","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Optimal query bounds for reconstructing a Hamiltonian cycle in complete graphs
This paper studies four combinatorial search models of reconstructing a fixed unknown Hamiltonian cycle in the complete graph by means of queries about subgraphs. For each model, an efficient algorithm is proposed that matches asymptotically the information-theoretic lower bound. The problem is motivated by an application to genome physical mapping.