Resilient Level Ancestor, Bottleneck, and Lowest Common Ancestor Queries in Dynamic Trees

Autor:	Gualà, Luciano, Leucci, Stefano, Ziccardi, Isabella
Rok vydání:	2021
Předmět:	Computer Science - Data Structures and Algorithms
Druh dokumentu:	Working Paper
Popis:	We study the problem of designing a \emph{resilient} data structure maintaining a tree under the Faulty-RAM model [Finocchi and Italiano, STOC'04] in which up to $\delta$ 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 \emph{resilient} (weighted) level ancestor queries, lowest common ancestor queries, and bottleneck vertex queries in $O(\delta)$ worst-case time per operation. Comment: 22 pages, 4 figures, full version of the paper accepted at ISAAC 2021
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2109.09588 Zobrazit plný text záznamu View this record from Arxiv