open access publication

Conference Paper, 2024

Fully Dynamic Min-Cut of Superconstant Size in Subpolynomial Time

Proceedings of the Annual ACM SIAM Symposium on Discrete Algorithms, Volume 2024-, Pages 2999-3026, 10.1137/1.9781611977912.107

Contributors

Jin W. (Corresponding author) [1] Sun X. [1] Thorup M. 0000-0001-5237-1709 [2]

Affiliations

  1. [1] University of Illinois at Chicago
  2. [NORA names: United States; America, North; OECD];
  3. [2] University of Copenhagen
  4. [NORA names: KU University of Copenhagen; University; Denmark; Europe, EU; Nordic; OECD]

Abstract

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). Previously, the best update time was O(√n) for any c > 2 and c = O(log n) [28].

Data Provider: Elsevier