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A Note on Dynamic Bidirected Dyck-Reachability with Cycles

Programming Languages 2024-01-09 v1 Data Structures and Algorithms

Abstract

Recently, Li et al. [2022] presented a dynamic Dyck-reachability algorithm for bidirected graphs. The basic idea is based on updating edge weights in a data structure called the merged graph GmG_m. As noted in Krishna et al. [2023], the edge deletion procedure described in the algorithm of Li et al. [2022] cannot properly update the weights in the presence of cycles in GmG_m. This note discusses the cycle case and the time complexity.

Keywords

Cite

@article{arxiv.2401.03570,
  title  = {A Note on Dynamic Bidirected Dyck-Reachability with Cycles},
  author = {Qirun Zhang},
  journal= {arXiv preprint arXiv:2401.03570},
  year   = {2024}
}
R2 v1 2026-06-28T14:10:44.311Z