Approximating k-hop minimum-spanning trees

Ernst Althaus, Stefan Funke, Sariel Har-Peled, Jochen Könemann, Edgar A. Ramos, Martin Skutella

Research output: Contribution to journalArticle


Given a complete graph on n nodes with metric edge costs, the minimum-cost k-hop spanning tree (kHMST) problem asks for a spanning tree of minimum total cost such that the longest root-leaf-path in the tree has at most k edges. We present an algorithm that computes such a tree of total expected cost O(log n) times that of a minimum-cost k-hop spanning-tree.

Original languageEnglish (US)
Pages (from-to)115-120
Number of pages6
JournalOperations Research Letters
Issue number2
StatePublished - Mar 1 2005


  • Approximation algorithms
  • Depth restriction
  • Metric space approximation
  • Minimum spanning trees

ASJC Scopus subject areas

  • Software
  • Management Science and Operations Research
  • Industrial and Manufacturing Engineering
  • Applied Mathematics

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  • Cite this

    Althaus, E., Funke, S., Har-Peled, S., Könemann, J., Ramos, E. A., & Skutella, M. (2005). Approximating k-hop minimum-spanning trees. Operations Research Letters, 33(2), 115-120.