A Note on Dynamic Bidirected Dyck-Reachability with Cycles

January 07, 2024 Β· Declared Dead Β· πŸ› 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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