DC Field | Value | Language |
---|---|---|
dc.contributor.author | Chakraborti, Debsoumya | ko |
dc.contributor.author | Kim, Jaehoon | ko |
dc.contributor.author | Kim, Jinha | ko |
dc.contributor.author | Kim, Minki | ko |
dc.contributor.author | Liu, Hong | ko |
dc.date.accessioned | 2023-01-19T02:00:10Z | - |
dc.date.available | 2023-01-19T02:00:10Z | - |
dc.date.created | 2022-07-05 | - |
dc.date.created | 2022-07-05 | - |
dc.date.created | 2022-07-05 | - |
dc.date.issued | 2022-12 | - |
dc.identifier.citation | PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, v.150, no.12, pp.5097 - 5110 | - |
dc.identifier.issn | 0002-9939 | - |
dc.identifier.uri | http://hdl.handle.net/10203/304591 | - |
dc.description.abstract | We study regular graphs in which the random walks starting from a positive fraction of vertices have small mixing time. We prove that any such graph is virtually an expander and has no small separator. This answers a question of Pak [SODA: Proceedings of the Thirteenth Annual ACM-SIAM Symposium on Discrete Algorithms, Society for Industrial and Applied Mathematics, Philadelphia, PA, 2002, pp. 321-328]. As a corollary, it shows that sparse (constant degree) regular graphs with many well-mixing vertices have a long cycle, improving a result of Pak. Furthermore, such cycle can be found in polynomial time. Secondly, we show that if the random walks from a positive fraction of vertices are well-mixing, then the random walks from almost all vertices are well-mixing (with a slightly worse mixing time). | - |
dc.language | English | - |
dc.publisher | AMER MATHEMATICAL SOC | - |
dc.title | WELL-MIXING VERTICES AND ALMOST EXPANDERS | - |
dc.type | Article | - |
dc.identifier.wosid | 000813927100001 | - |
dc.type.rims | ART | - |
dc.citation.volume | 150 | - |
dc.citation.issue | 12 | - |
dc.citation.beginningpage | 5097 | - |
dc.citation.endingpage | 5110 | - |
dc.citation.publicationname | PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | - |
dc.identifier.doi | 10.1090/proc/16090 | - |
dc.contributor.localauthor | Kim, Jaehoon | - |
dc.contributor.nonIdAuthor | Chakraborti, Debsoumya | - |
dc.contributor.nonIdAuthor | Kim, Jinha | - |
dc.contributor.nonIdAuthor | Kim, Minki | - |
dc.contributor.nonIdAuthor | Liu, Hong | - |
dc.description.isOpenAccess | N | - |
dc.type.journalArticle | Article | - |
dc.subject.keywordPlus | CONJECTURE | - |
dc.subject.keywordPlus | PROOF | - |
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