{"title":"在n*n个网格上排序n/sup 2/ number","authors":"M. Nigam, S. Sahni","doi":"10.1109/IPPS.1993.262858","DOIUrl":null,"url":null,"abstract":"The authors show that by folding data from an n*n mesh onto an n*(n/k) submesh, sorting on the submesh, and finally unfolding back onto the entire n*n mesh it is possible to sort on bidirectional and strict unidirectional meshes using a number of routing steps that is very close to the distance lower bound for these architectures. The technique may also be applied to reconfigurable bus architectures to obtain faster sorting algorithms.<<ETX>>","PeriodicalId":248927,"journal":{"name":"[1993] Proceedings Seventh International Parallel Processing Symposium","volume":"35 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1993-04-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"8","resultStr":"{\"title\":\"Sorting n/sup 2/ numbers on n*n meshes\",\"authors\":\"M. Nigam, S. Sahni\",\"doi\":\"10.1109/IPPS.1993.262858\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The authors show that by folding data from an n*n mesh onto an n*(n/k) submesh, sorting on the submesh, and finally unfolding back onto the entire n*n mesh it is possible to sort on bidirectional and strict unidirectional meshes using a number of routing steps that is very close to the distance lower bound for these architectures. The technique may also be applied to reconfigurable bus architectures to obtain faster sorting algorithms.<<ETX>>\",\"PeriodicalId\":248927,\"journal\":{\"name\":\"[1993] Proceedings Seventh International Parallel Processing Symposium\",\"volume\":\"35 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1993-04-13\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"8\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"[1993] Proceedings Seventh International Parallel Processing Symposium\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/IPPS.1993.262858\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"[1993] Proceedings Seventh International Parallel Processing Symposium","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/IPPS.1993.262858","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
The authors show that by folding data from an n*n mesh onto an n*(n/k) submesh, sorting on the submesh, and finally unfolding back onto the entire n*n mesh it is possible to sort on bidirectional and strict unidirectional meshes using a number of routing steps that is very close to the distance lower bound for these architectures. The technique may also be applied to reconfigurable bus architectures to obtain faster sorting algorithms.<>