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arXiv · 2401.03570

A Note on Dynamic Bidirected Dyck-Reachability with Cycles

Qirun Zhang
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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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Qirun Zhang. 2024-01-07. A Note on Dynamic Bidirected Dyck-Reachability with Cycles. https://arxiv.org/abs/2401.03570

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