Faster Deterministic Fully-Dynamic Graph Connectivity
Christian Wulff‐Nilsen · 2013
We give new deterministic bounds for fully-dynamic graph connectivity. Our data structure supports updates (edge insertions/deletions) in O(log2 n/ log log n) amortized time and connectivity queries in O(log n/ log log n) worst-case time, where n is the number of vertices of the graph. This improves the deterministic data structures of Holm, de Lichtenberg, and Thorup (STOC 1998, J. ACM 2001) and Thorup (STOC 2000) which both have O(log2 n) amortized update time and O(log n/log log n) worst-case query time. Our model of computation is the same as that of Thorup, i.e., a pointer machine with standard AC0 instructions.