On the approximability and hardness of minimum topic connected overlay and its special instances

Jun Hosoda, Juraj Hromkovič, Taisuke Izumi, Hirotaka Ono, Monika Steinová, Koichi Wada

Research output: Contribution to journalArticle

8 Citations (Scopus)

Abstract

In the context of designing a scalable overlay network to support decentralized topic-based pub/sub communication, the Minimum Topic-Connected Overlay problem (Min-TCO in short) has been investigated: given a set of t topics and a collection of n users together with the lists of topics they are interested in, the aim is to connect these users to a network by a minimum number of edges such that every graph induced by users interested in a common topic is connected. It is known that Min-TCO is NP-hard and approximable within O(logt) in polynomial time. In this paper, we further investigate the problem and some of its special instances. We give various hardness results for instances where the number of topics in which a user is interested in is bounded by a constant, and also for the instances where the number of users interested in a common topic is a constant. For the latter case, we present a first constant approximation algorithm. We also present some polynomial-time algorithms for very restricted instances of Min-TCO.

Original languageEnglish
Pages (from-to)144-154
Number of pages11
JournalTheoretical Computer Science
Volume429
DOIs
Publication statusPublished - Apr 20 2012

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Approximability
Overlay
Hardness
Polynomials
Overlay networks
Approximation algorithms
Communication
Overlay Networks
Polynomial-time Algorithm
Decentralized
Approximation Algorithms
Polynomial time
NP-complete problem
Graph in graph theory

All Science Journal Classification (ASJC) codes

  • Theoretical Computer Science
  • Computer Science(all)

Cite this

On the approximability and hardness of minimum topic connected overlay and its special instances. / Hosoda, Jun; Hromkovič, Juraj; Izumi, Taisuke; Ono, Hirotaka; Steinová, Monika; Wada, Koichi.

In: Theoretical Computer Science, Vol. 429, 20.04.2012, p. 144-154.

Research output: Contribution to journalArticle

Hosoda, Jun ; Hromkovič, Juraj ; Izumi, Taisuke ; Ono, Hirotaka ; Steinová, Monika ; Wada, Koichi. / On the approximability and hardness of minimum topic connected overlay and its special instances. In: Theoretical Computer Science. 2012 ; Vol. 429. pp. 144-154.
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