# Dynamic Bridge-Finding in Õ(log2 n) Amortized Time

@inproceedings{Holm2018DynamicBI, title={Dynamic Bridge-Finding in {\~O}(log2 n) Amortized Time}, author={Jacob Holm and Eva Rotenberg and Mikkel Thorup}, booktitle={ACM-SIAM Symposium on Discrete Algorithms}, year={2018} }

We present a deterministic fully-dynamic data structure for maintaining information about the bridges in a graph. We support updates in O((log n)2) amortized time, and can find a bridge in the component of any given vertex, or a bridge separating any two given vertices, in O(log n/ log log n) worst case time. Our bounds match the current best for bounds for deterministic fully-dynamic connectivity up to log log n factors. The previous best dynamic bridge finding was an O((log n)3) amortized…

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