Forbidden-set distance labels for graphs of bounded doubling dimension

Ittai Abraham, Shiri Chechik, Cyril Gavoille, David Peleg

Research output: Contribution to journalArticlepeer-review

12 Scopus citations

Abstract

This article proposes a forbidden-set labeling scheme for the family of unweighted graphs with doubling dimension bounded by α. For an n-vertex graph G in this family, and for any desired precision parameter ϵ > 0, the labeling scheme stores an O(1 + ϵ-1) log2 n-bit label at each vertex. Given the labels of two end-vertices s and t, and the labels of a set F of "forbidden" vertices and/or edges, our scheme can compute, in O(1 + ϵ) · |F|2 log n time, a 1 + ϵ stretch approximation for the distance between s and t in the graph G \ F. The labeling scheme can be extended into a forbidden-set labeled routing scheme with stretch 1 + ϵ for graphs of bounded doubling dimension.

Original languageEnglish
Article number22
JournalACM Transactions on Algorithms
Volume12
Issue number2
DOIs
StatePublished - Feb 2016
Externally publishedYes

Bibliographical note

Funding Information:
Supported in part by the Israel Science Foundation (grant 894/09), the United States-Israel Binational Science Foundation (grant 2008348), and the Israel Ministry of Science and Technology (infrastructures grant).

Publisher Copyright:
© 2016 ACM.

Keywords

  • Compact routing
  • Distance labeling
  • Doubling dimension
  • Fault-tolerance
  • Forbidden sets

Fingerprint

Dive into the research topics of 'Forbidden-set distance labels for graphs of bounded doubling dimension'. Together they form a unique fingerprint.

Cite this