From the 1 of 26 linked papers with an AI index.
26 papers
Minimum Degree Spanning Tree: -Approximation in Near-Linear Time
Sayan Bhattacharya, Ermiya Farokhnejad, Thatchaphol Saranurak +1
The paper presents a near‑linear‑time algorithm that computes a spanning tree whose maximum degree is within a factor (1+ε) of the optimal plus one, improving previous approximatio…
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…
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…
Expander Decomposition with Almost Optimal Overhead
Nikhil Bansal, Arun Jambulapati, Thatchaphol Saranurak
We present the first polynomial-time algorithm for computing a near-optimal \emph{flow}-expander decomposition. Given a graph and a parameter , our algorithm removes at mos…
DAG Projections: Reducing Distance and Flow Problems to DAGs
Bernhard Haeupler, Yonggang Jiang, Thatchaphol Saranurak
We show that every directed graph with vertices and edges admits a directed acyclic graph (DAG) with edges, called a DAG projection, that can either $(1+1/…
A Constant-Approximation Distance Labeling Scheme under Polynomially Many Edge Failures
Bernhard Haeupler, Yaowei Long, Antti Roeyskoe +1
A fault-tolerant distance labeling scheme assigns a label to each vertex and edge of an undirected weighted graph with vertices so that, for any edge set of size $|F| \…