Multipath Spanners via Fault-Tolerant Spanners

Shiri Chechik, Quentin Godfroy, David Peleg

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

1 Scopus citations

Abstract

An s-spanner H of a graph G is a subgraph such that the distance between any two vertices u and v in H is greater by at most a multiplicative factor s than the distance in G. Inthispaper,wefocuson an extension of the concept of spanners to p-multipath distance, defined as the smallest length of a collection of p pairwise (vertex or edge) disjoint paths. The notion of multipath spanners was introduced in [15, 16] for edge (respectively, vertex) disjoint paths. This paper significantly improves the stretch-size tradeoff result of the two previous papers, using the related concept of fault-tolerant s-spanners, introduced in [6] for general graphs. More precisely, we show that at the cost of increasing the number of edges by a polynomial factor in p and s, it is possible to obtain an s-multipath spanner, thereby improving on the large stretch obtained in [15, 16].

Original languageEnglish
Title of host publicationDesign and Analysis of Algorithms - 1st Mediterranean Conference on Algorithms, MedAlg 2012, Proceedings
EditorsGuy Even, Dror Rawitz
PublisherSpringer Science and Business Media Deutschland GmbH
Pages108-119
Number of pages12
ISBN (Print)9783642348617
DOIs
StatePublished - 2012
Externally publishedYes
Event1st Mediterranean Conference on Algorithms, MedAlg 2012 - Kibbutz Ein Gedi, Israel
Duration: 3 Dec 20125 Dec 2012

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume7659 LNNS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

Conference1st Mediterranean Conference on Algorithms, MedAlg 2012
Country/TerritoryIsrael
CityKibbutz Ein Gedi
Period3/12/125/12/12

Bibliographical note

Publisher Copyright:
© Springer-Verlag Berlin Heidelberg 2012.

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