We study the problem of designing a resilient data structure maintaining a tree under the Faulty-RAM model [Finocchi and Italiano, STOC'04] in which up to δ memory words can be corrupted by an adversary. Our data structure stores a rooted dynamic tree that can be updated via the addition of new leaves, requires linear size, and supports resilient (weighted) level ancestor queries, lowest common ancestor queries, and bottleneck vertex queries in O(δ) worst-case time per operation.

Guala', L., Stefano, L., Isabella, Z. (2021). Resilient level ancestor, bottleneck, and lowest Common ancestor queries in dynamic trees. In 32nd International Symposium on Algorithms and Computation (ISAAC 2021) (pp.1-17). Ahn, Hee-Kap and Sadakane, Kunihiko [10.4230/lipics.isaac.2021.66].

Resilient level ancestor, bottleneck, and lowest Common ancestor queries in dynamic trees

Luciano Gualà;
2021-01-01

Abstract

We study the problem of designing a resilient data structure maintaining a tree under the Faulty-RAM model [Finocchi and Italiano, STOC'04] in which up to δ memory words can be corrupted by an adversary. Our data structure stores a rooted dynamic tree that can be updated via the addition of new leaves, requires linear size, and supports resilient (weighted) level ancestor queries, lowest common ancestor queries, and bottleneck vertex queries in O(δ) worst-case time per operation.
32nd International Symposium on Algorithms and Computation (ISAAC 2021)
Fukuoka (Japan)
2021
Rilevanza internazionale
contributo
2021
Settore INF/01 - INFORMATICA
English
lowest common ancestor queries
bottleneck vertex queries
resilient data structures
faulty-RAM model
level ancestor queries
dynamic trees
Intervento a convegno
Guala', L., Stefano, L., Isabella, Z. (2021). Resilient level ancestor, bottleneck, and lowest Common ancestor queries in dynamic trees. In 32nd International Symposium on Algorithms and Computation (ISAAC 2021) (pp.1-17). Ahn, Hee-Kap and Sadakane, Kunihiko [10.4230/lipics.isaac.2021.66].
Guala', L; Stefano, L; Isabella, Z
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2108/284737
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