Faster Algorithms for Dual-Failure Replacement Paths

S Chechik, T Zhang - arxiv preprint arxiv:2404.13907, 2024 - arxiv.org
Given a simple weighted directed graph $ G=(V, E,\omega) $ on $ n $ vertices as well as two
designated terminals $ s, t\in V $, our goal is to compute the shortest path from $ s $ to $ t …

A Nearly Linear Time Construction of Approximate Single-Source Distance Sensitivity Oracles

K Harada, N Kitamura, T Izumi… - 32nd Annual European …, 2024 - drops.dagstuhl.de
An α-approximate vertex fault-tolerant distance sensitivity oracle (α-VSDO) for a weighted
input graph G=(V, E, w) and a source vertex s∈ V is the data structure answering an α …