A Note on Dynamic Bidirected Dyck-Reachability with Cycles
January 07, 2024 Β· Declared Dead Β· π arXiv.org
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Authors
Qirun Zhang
arXiv ID
2401.03570
Category
cs.PL: Programming Languages
Cross-listed
cs.DS
Citations
1
Venue
arXiv.org
Last Checked
4 months ago
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 $G_m$. 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 $G_m$. This note discusses the cycle case and the time complexity.
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