Parameterized complexity of team formation in social networks

Robert Bredereck, Jiehua Chen, Falk Hüffner, Stefan Kratsch

Research output: Contribution to journalArticlepeer-review

4 Scopus citations


Given a task that requires some skills and a social network of individuals with different skills, the TEAM FORMATION problem asks to find a team of individuals that together can perform the task, while minimizing communication costs. Since the problem is NP-hard, we identify the source of intractability by analyzing its parameterized complexity with respect to parameters such as the total number of skills k, the team size l, the communication cost budget b, and the maximum vertex degree Δ. We show that the computational complexity strongly depends on the communication cost measure: when using the weight of a minimum spanning tree of the subgraph formed by the selected team, we obtain fixed-parameter tractability for example with respect to the parameter k. In contrast, when using the diameter as measure, the problem is intractable with respect to any single parameter; however, combining Δ with either b or l yields fixed-parameter tractability.

Original languageEnglish
Pages (from-to)26-36
Number of pages11
JournalTheoretical Computer Science
StatePublished - 22 Mar 2018


  • Computational complexity analysis
  • Parameterized complexity analysis
  • Team formation on social networks

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Computer Science (all)


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