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...

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Vydáno v:Theory of computing systems Ročník 63; číslo 8; s. 1849 - 1874
Hlavní autoři: Laish, Itay, Mozes, Shay
Médium: Journal Article
Jazyk:angličtina
Vydáno: New York Springer US 01.11.2019
Springer Nature B.V
Témata:
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
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Shrnutí: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.
Bibliografie:ObjectType-Article-1
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content type line 14
ISSN:1432-4350
1433-0490
DOI:10.1007/s00224-019-09949-5