English

Faster Fully-Dynamic Minimum Spanning Forest

Data Structures and Algorithms 2014-07-28 v1

Abstract

We give a new data structure for the fully-dynamic minimum spanning forest problem in simple graphs. Edge updates are supported in O(log4n/loglogn)O(\log^4n/\log\log n) amortized time per operation, improving the O(log4n)O(\log^4n) amortized bound of Holm et al. (STOC'98, JACM'01). We assume the Word-RAM model with standard instructions.

Keywords

Cite

@article{arxiv.1407.6832,
  title  = {Faster Fully-Dynamic Minimum Spanning Forest},
  author = {Jacob Holm and Eva Rotenberg and Christian Wulff-Nilsen},
  journal= {arXiv preprint arXiv:1407.6832},
  year   = {2014}
}

Comments

13 pages, 2 figures

R2 v1 2026-06-22T05:13:02.886Z