On minimum power connectivity problems

Yuval Lando, Zeev Nutov

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


Given a (directed or undirected) graph with costs on the edges, the power of a node is the maximum cost of an edge leaving it, and the power of the graph is the sum of the powers of its nodes. Motivated by applications for wireless networks, we present improved approximation algorithms and inapproximability results for some classic network design problems under the power minimization criteria. In particular, we give a logarithmic approximation algorithm for the problem of finding a rninpower subgraph that contains k internally-disjoint paths from a given node s to every other node, and show that several other problems are unlikely to admit a polylogarithmic approximation.

Original languageEnglish
Title of host publicationAlgorithms - ESA 2007 - 15th Annual European Symposium, Proceedings
PublisherSpringer Verlag
Number of pages12
ISBN (Print)9783540755197
StatePublished - 2007
Event15th Annual European Symposium on Algorithms, ESA 2007 - Eilat, Israel
Duration: 8 Oct 200710 Oct 2007

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume4698 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349


Conference15th Annual European Symposium on Algorithms, ESA 2007

Bibliographical note

Funding Information:
This research was supported by The Open University of Israel's Research Fund, grant no. 46102.


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