Efficient Dynamic Approximate Distance Oracles for Vertex-Labeled Planar Graphs

Let G be a graph where each vertex is associated with a label. A vertex-labeled approximate distance oracle is a data structure that, given a vertex v and a label λ , returns a (1 + ε )-approximation of the distance from v to the closest vertex with label λ in G . Such an oracle is dynamic if it als...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Theory of computing systems Jg. 63; H. 8; S. 1849 - 1874
Hauptverfasser: Laish, Itay, Mozes, Shay
Format: Journal Article
Sprache:Englisch
Veröffentlicht: New York Springer US 01.11.2019
Springer Nature B.V
Schlagworte:
Computer Science
Data structures
Graphs
Special Issue on Approximation and Online Algorithms
Theory of Computation
cover
Approximate distance oracles
Vertex labels
Portals
Planar graphs
ISSN:1432-4350, 1433-0490
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:Let G be a graph where each vertex is associated with a label. A vertex-labeled approximate distance oracle is a data structure that, given a vertex v and a label λ , returns a (1 + ε )-approximation of the distance from v to the closest vertex with label λ in G . Such an oracle is dynamic if it also supports label changes. In this paper we present three different dynamic approximate vertex-labeled distance oracles for planar graphs, all with polylogarithmic query and update times, and nearly linear space requirements. No such oracles were previously known.
Bibliographie:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:1432-4350
1433-0490
DOI:10.1007/s00224-019-09949-5