Linear time algorithms for computing the most reliable source on an unreliable tree network

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23 Scopus citations


Given a tree network with n vertices where each edge has an operational probability, we are interested in finding a vertex on the tree whose expected number of reachable vertices is maximum. This problem was studied in Networks 27 (1996) 219-237, where an O(n3) time algorithm and an O(n2) time algorithm were proposed. In this paper, we present an O(n) time algorithm for the same problem, improving the previously best algorithm by a factor of O(n). We also study a max-min version of the problem and propose an O(n) time algorithm for this problem as well. Examples are provided to illustrate the algorithms.

Original languageEnglish (US)
Pages (from-to)37-45
Number of pages9
Issue number1
StatePublished - Aug 1997
Externally publishedYes


  • Algorithms
  • Centers
  • Medians
  • Network reliability
  • Time complexity
  • Tree networks

ASJC Scopus subject areas

  • Information Systems
  • Computer Networks and Communications

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