{"title":"The Energy Complexity of Las Vegas Leader Election","authors":"Yi-Jun Chang, Shunhua Jiang","doi":"10.1145/3490148.3538586","DOIUrl":null,"url":null,"abstract":"We consider the time (number of communication rounds) and energy (number of non-idle communication rounds per device) complexities of randomized leader election in a multiple-access channel, where the number of devices n ≥ 2 is unknown. It is well-known that for polynomial-time randomized leader election algorithms with success probability 1 - 1/poly(n), the optimal energy complexity is Θ(log log* n) if receivers can detect collisions, and it is Θ(log* n) otherwise.","PeriodicalId":112865,"journal":{"name":"Proceedings of the 34th ACM Symposium on Parallelism in Algorithms and Architectures","volume":"31 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2022-05-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings of the 34th ACM Symposium on Parallelism in Algorithms and Architectures","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1145/3490148.3538586","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 2
Abstract
We consider the time (number of communication rounds) and energy (number of non-idle communication rounds per device) complexities of randomized leader election in a multiple-access channel, where the number of devices n ≥ 2 is unknown. It is well-known that for polynomial-time randomized leader election algorithms with success probability 1 - 1/poly(n), the optimal energy complexity is Θ(log log* n) if receivers can detect collisions, and it is Θ(log* n) otherwise.