{"title":"论通信的复杂性大于","authors":"Sivaramakrishnan Natarajan Ramamoorthy, Makrand Sinha","doi":"10.1109/ALLERTON.2015.7447037","DOIUrl":null,"url":null,"abstract":"We give a simple information theoretic proof that the public-coin randomized communication complexity of the greater-than function is Ω(logn) for bit-strings of length n.","PeriodicalId":112948,"journal":{"name":"2015 53rd Annual Allerton Conference on Communication, Control, and Computing (Allerton)","volume":"221 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2015-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"7","resultStr":"{\"title\":\"On the communication complexity of greater-than\",\"authors\":\"Sivaramakrishnan Natarajan Ramamoorthy, Makrand Sinha\",\"doi\":\"10.1109/ALLERTON.2015.7447037\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We give a simple information theoretic proof that the public-coin randomized communication complexity of the greater-than function is Ω(logn) for bit-strings of length n.\",\"PeriodicalId\":112948,\"journal\":{\"name\":\"2015 53rd Annual Allerton Conference on Communication, Control, and Computing (Allerton)\",\"volume\":\"221 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2015-09-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"7\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2015 53rd Annual Allerton Conference on Communication, Control, and Computing (Allerton)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ALLERTON.2015.7447037\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2015 53rd Annual Allerton Conference on Communication, Control, and Computing (Allerton)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ALLERTON.2015.7447037","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
We give a simple information theoretic proof that the public-coin randomized communication complexity of the greater-than function is Ω(logn) for bit-strings of length n.