高维膨胀剂及性能测试

Proceedings of the 5th conference on Innovations in theoretical computer science Pub Date : 2013-12-09 DOI:10.1145/2554797.2554842

T. Kaufman, A. Lubotzky

{"title":"高维膨胀剂及性能测试","authors":"T. Kaufman, A. Lubotzky","doi":"10.1145/2554797.2554842","DOIUrl":null,"url":null,"abstract":"We show that the high dimensional expansion property as defined by Gromov, Linial and Meshulam, for simplicial complexes is a form of testability. Namely, a simplicial complex is a high dimensional expander iff a suitable property is testable. Using this connection, we derive several testability results.","PeriodicalId":382856,"journal":{"name":"Proceedings of the 5th conference on Innovations in theoretical computer science","volume":"43 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2013-12-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"40","resultStr":"{\"title\":\"High dimensional expanders and property testing\",\"authors\":\"T. Kaufman, A. Lubotzky\",\"doi\":\"10.1145/2554797.2554842\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We show that the high dimensional expansion property as defined by Gromov, Linial and Meshulam, for simplicial complexes is a form of testability. Namely, a simplicial complex is a high dimensional expander iff a suitable property is testable. Using this connection, we derive several testability results.\",\"PeriodicalId\":382856,\"journal\":{\"name\":\"Proceedings of the 5th conference on Innovations in theoretical computer science\",\"volume\":\"43 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2013-12-09\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"40\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings of the 5th conference on Innovations in theoretical computer science\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1145/2554797.2554842\",\"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 5th conference on Innovations in theoretical computer science","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1145/2554797.2554842","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}

引用次数: 40

摘要

我们证明了由Gromov, Linial和Meshulam定义的简单复合体的高维展开性是一种可测试性。也就是说，如果一个合适的性质是可测试的，一个简单复合体就是一个高维展开式。利用这种联系，我们得到了几个可测试性结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

High dimensional expanders and property testing

We show that the high dimensional expansion property as defined by Gromov, Linial and Meshulam, for simplicial complexes is a form of testability. Namely, a simplicial complex is a high dimensional expander iff a suitable property is testable. Using this connection, we derive several testability results.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Proceedings of the 5th conference on Innovations in theoretical computer science

自引率

0.00%

发文量