Approximate distance oracle for fault-tolerant geometric spanners

K Cho, J Shin, E Oh - Proceedings of the AAAI Conference on Artificial …, 2024 - ojs.aaai.org
In this paper, we present an approximate distance oracle for fault-tolerant Euclidean
spanners. An $ f $-fault-tolerant Euclidean $ t $-spanner for a point set $ V\subset\mathbb …

Parameterized sensitivity oracles and dynamic algorithms using exterior algebras

J Alman, D Hirsch - arxiv preprint arxiv:2204.10819, 2022 - arxiv.org
We design the first efficient sensitivity oracles and dynamic algorithms for a variety of
parameterized problems. Our main approach is to modify the algebraic coding technique …

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 …

Meta-theorems for Parameterized Streaming Algorithms

D Lokshtanov, P Misra, F Panolan… - Proceedings of the 2024 …, 2024 - SIAM
The streaming model was introduced to parameterized complexity independently by
Fafianie and Kratsch [MFCS14] and by Chitnis, Cormode, Hajiaghayi and Monemizadeh …

Approximate Distance and Shortest-Path Oracles for Fault-Tolerant Geometric Spanners

K Cho, J Shin, E Oh - arxiv preprint arxiv:2312.16397, 2023 - arxiv.org
In this paper, we present approximate distance and shortest-path oracles for fault-tolerant
Euclidean spanners motivated by the routing problem in real-world road networks. An $ f …

Decremental Sensitivity Oracles for Covering and Packing Minors

L Kanesh, F Panolan… - Proceedings of the …, 2024 - eprints.whiterose.ac.uk
In this paper, we present the first decremental fixed-parameter sensitivity oracles for a
number of basic covering and packing problems on graphs. In particular, we obtain the first …