Approximate distance sensitivity oracles in subquadratic space

D Bilò, S Chechik, K Choudhary, S Cohen… - Proceedings of the 55th …, 2023 - dl.acm.org
An f-edge fault-tolerant distance sensitive oracle (f-DSO) with stretch σ≥ 1 is a data structure
that preprocesses a given undirected, unweighted graph G with n vertices and m edges, and …

Sensitivity and dynamic distance oracles via generic matrices and frobenius form

A Karczmarz, P Sankowski - 2023 IEEE 64th Annual …, 2023 - ieeexplore.ieee.org
Algebraic techniques have had an important impact on graph algorithms so far. Porting
them, eg, the matrix inverse, into the dynamic regime improved best-known bounds for …

Compact Distance Oracles with Large Sensitivity and Low Stretch

D Bilò, K Choudhary, S Cohen, T Friedrich… - Algorithms and Data …, 2023 - Springer
An f-edge fault-tolerant distance sensitive oracle (f-DSO) with stretch σ⩾ 1 is a data structure
that preprocesses an input graph G. When queried with the triple (s, t, F), where s, t∈ V and …

Efficient Fault-Tolerant Search by Fast Indexing of Subnetworks

D Bilò, K Choudhary, S Cohen, T Friedrich… - arxiv preprint arxiv …, 2024 - arxiv.org
We design sensitivity oracles for error-prone networks. For a network problem $\Pi $, the
data structure preprocesses a network $ G=(V, E) $ and sensitivity parameter $ f $ such that …

Fault-Tolerant ST-Diameter Oracles

D Bilò, K Choudhary, S Cohen, T Friedrich… - arxiv preprint arxiv …, 2023 - arxiv.org
We study the problem of estimating the $ ST $-diameter of a graph that is subject to a
bounded number of edge failures. An $ f $-edge fault-tolerant $ ST $-diameter oracle ($ f …

Compact Distance Oracles with Large

D Bilò¹, K Choudhary, S Cohen… - Algorithms and Data …, 2023 - books.google.com
Compact Distance Oracles with Large Page 160 2 Compact Distance Oracles with Large
Sensitivity and Low Stretch Davide Bilò¹, Keerti Choudhary², Sarel Cohen³, Tobias Friedrich4 …