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Creators/Authors contains: "Thorup, Mikkel"

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  1. ; ; (, SIAM)
    We present a deterministic fully dynamic algorithm with subpolynomial worst-case time per graph update such that after processing each update of the graph, the algorithm outputs a minimum cut of the graph if the graph has a cut of size at most $$c$$ for some $$c = (\log n)^{o(1)}$$. Previously, the best update time was $$\widetilde O(\sqrt{n})$$ for any $c > 2$ and $$c = O(\log n)$$. 
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    Accepted Manuscript Full Text Available
  2. ; ; ; ; (, TheoretiCS)
    Dynamic connectivity is one of the most fundamental problems in dynamic graphalgorithms. We present a randomized Las Vegas dynamic connectivity datastructure with $$O(\log n(\log\log n)^2)$$ amortized expected update time and$$O(\log n/\log\log\log n)$$ worst case query time, which comes very close to thecell probe lower bounds of Patrascu and Demaine (2006) and Patrascu and Thorup(2011). 
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    Full Text Available 
  3. ; ; ; ; ; (, SIAM)
    Accepted Manuscript Full Text Available
  4. ; ; ; ; ; (, Society for Industrial and Applied Mathematics)
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  5. ; ; ; (, Electronic Communications in Probability)
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  6. ; ; ; ; ; (, Proceedings of the Nineteenth International Symposium on Mobile Ad Hoc Networking and Computing (MobiHoc 2018))
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