Before revision: Dynamic algorithms capable of supporting batches of updates are increasingly relevant today due to the emergence of rapidly-evolving dynamic datasets.
After revision: The dynamic trees problem is to maintain a forest subject to edge insertions and deletions while facilitating queries such as connectivity, path weights, and subtree weights. Dynamic trees are a fundamental building block of a large number of graph algorithms. Although traditionally studied in the single-update setting, dynamic algorithms capable of supporting batches of updates are increasingly relevant today due to the emergence of rapidly-evolving dynamic datasets.