Better approximation algorithms for technology diffusion

Jochen Könemann, Sina Sadeghian, Laura Sanità

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

2 Citations (Scopus)

Abstract

Motivated by cascade effects arising in network technology upgrade processes in the Internet, Goldberg and Liu [SODA, 2013] recently introduced the following natural technology diffusion problem. Given a graph G = (V,E), and thresholds θ(v), for all v ∈ V. A vertex u activates if it is adjacent to a connected component of active nodes of size at least θ(v). The goal is to find a seed set whose initial activation would trigger a cascade activating the entire graph. Goldberg and Liu presented an algorithm for this problem that returns a seed set of size O(rl log(n)) times that of an optimum seed set, where r is the diameter of the given graph, and l is the number of distinct thresholds used in the instance. We improve upon this result by presenting an O( min {r,l} log(n))-approximation algorithm. Our algorithm is simple and combinatorial, in contrast with the previous approach that is based on randomized rounding applied to the solution of a linear program.

Original languageEnglish
Title of host publicationAlgorithms, ESA 2013 - 21st Annual European Symposium, Proceedings
Pages637-646
Number of pages10
DOIs
Publication statusPublished - 2013
Externally publishedYes
Event21st Annual European Symposium on Algorithms, ESA 2013 - Sophia Antipolis, France
Duration: 2 Sep 20134 Sep 2013

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume8125 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

Conference21st Annual European Symposium on Algorithms, ESA 2013
CountryFrance
CitySophia Antipolis
Period2/09/134/09/13

Keywords

  • Approximation Algorithms
  • Combinatorial Optimization
  • Technology Diffusion

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  • Cite this

    Könemann, J., Sadeghian, S., & Sanità, L. (2013). Better approximation algorithms for technology diffusion. In Algorithms, ESA 2013 - 21st Annual European Symposium, Proceedings (pp. 637-646). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 8125 LNCS). https://doi.org/10.1007/978-3-642-40450-4_54