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20162026
most citedDistributed Edge Connectivity in Sublinear Time

21 citations · 78 across the 54 of their papers we have counts for

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cs.DS2026

Deterministic Edge-Fault-Tolerant Connectivity Labeling Schemes with Nearly Optimal Label Size

Yaowei Long, Seth Pettie, Thatchaphol Saranurak

For an undirected graph and a fault bound , an edge-fault-tolerant connectivity labeling scheme assigns short labels to vertices and edges, so that for any vertex pa…

cs.DS2026

Connectivity Oracles Under Vertex Failures via a Simple and Fast Low-Degree Steiner Forest Decomposition

Sayan Bhattacharya, Ermiya Farokhnejad, Thatchaphol Saranurak +1

We study the low-degree Steiner forest decomposition. Given a graph and a terminal set , the standard decomposition returns a set of size at…

cs.DS2026

Incremental Directed Minimum Cut by Dynamizing Gabow's Algorithm

Thatchaphol Saranurak, Kaiyang Xie, Zhaienhe Zhou

We give the first incremental algorithm for directed global minimum cut. Given a directed graph with vertices undergoing edge insertions, our deterministic algorithm explic…

cs.DS2026

Minimum Degree Spanning Tree: -Approximation in Near-Linear Time

Sayan Bhattacharya, Ermiya Farokhnejad, Thatchaphol Saranurak +1

The minimum degree spanning tree problem is a classic NP-hard problem whose optimal approximation guarantee was established since the early 1990s: Fürer and Raghavachari [FR92] gav…

cs.DS2026

Connectivity Oracle Under Vertex Failures by Shortcutting Unbreakable Decomposition

Xizhe Li, Yaowei Long, David Pidugu +2

We give an improved connectivity oracle under vertex failures. After a set of vertices fails, our oracle performs an -time update independent of the graph size , a…

cs.DS2026

Parallel Reachability and Shortest Paths on Non-sparse Digraphs: Near-linear Work and Sub-square-root Depth

Vikrant Ashvinkumar, Aaron Bernstein, Maximilian Probst Gutenberg +1

We present parallel algorithms for computing single-source reachability and shortest paths on directed -vertex -edge graphs using near-linear work and $o(\sqrt…