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DC Field | Value | Language |
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dc.citation.endPage | 579 | - |
dc.citation.number | 6-8 | - |
dc.citation.startPage | 576 | - |
dc.citation.title | INFORMATION PROCESSING LETTERS | - |
dc.citation.volume | 115 | - |
dc.contributor.author | Fournier, Herve | - |
dc.contributor.author | Ismail, Anas | - |
dc.contributor.author | Vigneron, Antoine | - |
dc.date.accessioned | 2023-12-22T01:07:16Z | - |
dc.date.available | 2023-12-22T01:07:16Z | - |
dc.date.created | 2016-06-07 | - |
dc.date.issued | 2015-07 | - |
dc.description.abstract | We give exact and approximation algorithms for computing the Gromov hyperbolicity of an n-point discrete metric space. We observe that computing the Gromov hyperbolicity from a fixed base-point reduces to a (max,min) matrix product. Hence, using the (max,min) matrix product algorithm by Duan and Pettie, the fixed base-point hyperbolicity can be determined in O(n(2.69)) time. It follows that the Gromov hyperbolicity can be computed in O(n(3.69)) time, and a 2-approximation can be found in O(n(2.69)) time. We also give a (2 log(2)n)-approximation algorithm that runs in O(n(2)) time, based on a tree-metric embedding by Gromov. We also show that hyperbolicity at a fixed base-point cannot be computed in O(n(2.05)) time, unless there exists a faster algorithm for (max,min) matrix multiplication than currently known. | - |
dc.identifier.bibliographicCitation | INFORMATION PROCESSING LETTERS, v.115, no.6-8, pp.576 - 579 | - |
dc.identifier.doi | 10.1016/j.ipl.2015.02.002 | - |
dc.identifier.issn | 0020-0190 | - |
dc.identifier.scopusid | 2-s2.0-84938858759 | - |
dc.identifier.uri | https://scholarworks.unist.ac.kr/handle/201301/19503 | - |
dc.identifier.url | http://www.sciencedirect.com/science/article/pii/S0020019015000198 | - |
dc.identifier.wosid | 000353742700005 | - |
dc.language | 영어 | - |
dc.publisher | ELSEVIER SCIENCE BV | - |
dc.title | Computing the Gromov hyperbolicity of a discrete metric space | - |
dc.type | Article | - |
dc.description.isOpenAccess | FALSE | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
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