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- W4366458105 abstract "In this work, we prove a $tilde{Omega}(lg^{3/2} n )$ unconditional lower bound on the maximum of the query time and update time for dynamic data structures supporting reachability queries in $n$-node directed acyclic graphs under edge insertions. This is the first super-logarithmic lower bound for any natural graph problem. In proving the lower bound, we also make novel contributions to the state-of-the-art data structure lower bound techniques that we hope may lead to further progress in proving lower bounds." @default.
- W4366458105 created "2023-04-22" @default.
- W4366458105 creator A5013551063 @default.
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- W4366458105 date "2023-04-18" @default.
- W4366458105 modified "2023-10-01" @default.
- W4366458105 title "Super-Logarithmic Lower Bounds for Dynamic Graph Problems" @default.
- W4366458105 doi "https://doi.org/10.48550/arxiv.2304.08745" @default.
- W4366458105 hasPublicationYear "2023" @default.
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