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Deterministic fully dynamic data structures for vertex cover and matching
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Bhattacharya, Sayan, Henzinger, Monika and Italiano, Giuseppe F. (2018) Deterministic fully dynamic data structures for vertex cover and matching. SIAM Journal on Computing, 47 (3). pp. 859-887. doi:10.1137/140998925
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Official URL: http://dx.doi.org/10.1137/140998925
Abstract
We present the first deterministic data structures for maintaining approximate minimum vertex cover and maximum matching in a fully dynamic graph in time per update. In particular, for minimum vertex cover we provide deterministic data structures for maintaining a (2 + ε) approximation in O(log n/ε2) amortized time per update. For maximum matching, we show how to maintain a (3 + e) approximation in O(m1/3/ε2) amortized time per update, and a (4 + ε) approximation in O(m1/3/ε2) worst-case time per update. Our data structure for fully dynamic minimum vertex cover is essentially near-optimal and settles an open problem by Onak and Rubinfeld [13].
| Item Type: | Journal Article | ||||||||||||
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| Subjects: | Q Science > QA Mathematics | ||||||||||||
| Divisions: | Faculty of Science > Computer Science | ||||||||||||
| Library of Congress Subject Headings (LCSH): | Vertex operator algebras, Algorithms, Data structures (Computer science) -- Mathematical models | ||||||||||||
| Journal or Publication Title: | SIAM Journal on Computing | ||||||||||||
| Publisher: | Society for Industrial and Applied Mathematics | ||||||||||||
| ISSN: | 0097-5397 | ||||||||||||
| Official Date: | 2018 | ||||||||||||
| Dates: |
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| Volume: | 47 | ||||||||||||
| Number: | 3 | ||||||||||||
| Page Range: | pp. 859-887 | ||||||||||||
| DOI: | 10.1137/140998925 | ||||||||||||
| Status: | Peer Reviewed | ||||||||||||
| Publication Status: | Published | ||||||||||||
| Publisher Statement: | “First Published in SIAM Journal on Computing in 47(3) 2018 published by the Society for Industrial and Applied Mathematics (SIAM)” “Copyright © by SIAM. Unauthorized reproduction of this article is prohibited.”) | ||||||||||||
| Access rights to Published version: | Restricted or Subscription Access | ||||||||||||
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