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Algorithmica

, Volume 22, Issue 3, pp 275–304 | Cite as

Maintaining Spanning Trees of Small Diameter

  • G. F. Italiano
  • R. Ramaswami

Abstract.

Given a graph G with m edges and n nodes, a spanning tree T of G , and an edge e that is being deleted from or inserted into G , we give efficient O(n) algorithms to compute a possible swap for e that minimizes the diameter of the new spanning tree. This problem arises in high-speed networks, particularly in optical networks.

Key words. Design and analysis of algorithms and data structures, Spanning trees. 

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Copyright information

© Springer-Verlag New York Inc. 1998

Authors and Affiliations

  • G. F. Italiano
    • 2
  • R. Ramaswami
    • 1
  1. 1.IBM Research Division, Thomas J. Watson Research Center, Yorktown Heights, NY 10598, USA.US
  2. 2.Current address: Dipartimento di Informatica e Sistemistica, Universitá di Roma ``La Sapienza,'' Rome, Italy.IT

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