A new distributed algorithm to find breadth first search trees

  • Authors:
  • Baruch Awerbuch;Robert G. Gallager

  • Affiliations:
  • Massachusettes Institute of Technology, Cambridge;Massachusettes Institute of Technology, Cambridge

  • Venue:
  • IEEE Transactions on Information Theory
  • Year:
  • 1987

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Abstract

A new distributed algorithm is presented for constructing breadth first search (BFS) trees. A BFS tree is a tree of shortest paths from a given root node to all other nodes of a network under the assumption of unit edge weights; such trees provide useful building blocks for a number of routing and control functions in communication networks. The order of communication complexity for the new algorithm isO(V^{1.6} + E)whereVis the number of nodes and E the number of edges. For dense networks withE geq V^{1.6}this order of complexity is optimum.