Light spanners

Michael Elkin, Ofer Neiman, Shay Solomon

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

11 Scopus citations


A t-spanner of a weighted undirected graph G = (V,E), is a subgraph H such that dH(u,v) ≤ t·dG(u,v) for all u,v ∈ V. The sparseness of the spanner can be measured by its size (the number of edges) and weight (the sum of all edge weights), both being important measures of the spanner's quality - in this work we focus on the latter. Specifically, it is shown that for any parameters k ≥ 1 and ε > 0, any weighted graph G on n vertices admits a (2k - 1)·(1 + ε)-stretch spanner of weight at most w(MST(G))·Oε (kn1/k /logk), where w(MST(G)) is the weight of a minimum spanning tree of G. Our result is obtained via a novel analysis of the classic greedy algorithm, and improves previous work by a factor of O(logk).

Original languageEnglish
Title of host publicationAutomata, Languages, and Programming - 41st International Colloquium, ICALP 2014, Proceedings
PublisherSpringer Verlag
Number of pages11
EditionPART 1
ISBN (Print)9783662439470
StatePublished - 2014
Externally publishedYes
Event41st International Colloquium on Automata, Languages, and Programming, ICALP 2014 - Copenhagen, Denmark
Duration: 8 Jul 201411 Jul 2014

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
NumberPART 1
Volume8572 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349


Conference41st International Colloquium on Automata, Languages, and Programming, ICALP 2014


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