Data structures for on-line updating of minimum spanning trees

  • Authors:
  • Greg N. Frederickson

  • Affiliations:
  • -

  • Venue:
  • STOC '83 Proceedings of the fifteenth annual ACM symposium on Theory of computing
  • Year:
  • 1983

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Abstract

Data structures are presented for the problem of maintaining a minimum spanning tree on-line under the operation of updating the cost of some edge in the graph. For the case of a general graph, maintaining the data structure and updating the tree are shown to take O((@@@@)m) time, where m is the number of edges in the graph. For the case of a planar graph, a data structure is presented which supports an update time of O ((log m)2).