On the efficiency of multicast

  • Authors:
  • Piet Van Mieghem;Gerard Hooghiemstra;Remco van der Hofstad

  • Affiliations:
  • Delft University of Technology, 2628 BL Delft, The Netherlands;Delft University of Technology, 2628 BL Delft, The Netherlands;Delft University of Technology, 2628 BL Delft, The Netherlands

  • Venue:
  • IEEE/ACM Transactions on Networking (TON)
  • Year:
  • 2001

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Abstract

The average number of joint hops in a shortest-path multicast tree from a root to m arbitrary chosen group member nodes is studied. A general theory for all graphs, hence including the graph representation of the Internet, is presented which quantifies the multicast reduction in network links compared to m times unicast. For two special types of graphs, the random graph Gp(N) and the k-ary tree, exact and asymptotic results are derived. Comparing these explicit results with previously published Internet measurements [13] indicates that the number of routers in the Internet that can be reached from a root grows exponentially in the number of hops with an effective degree of approximately 3.2.