An asymptotically optimal push-pull method for multicasting over a random network

Vasuki Narasimha Swamy, Srikrishna Bhashyam, Rajesh Sundaresan, Pramod Viswanath

Research output: Contribution to journalArticlepeer-review


We consider all-cast and multicast flow problems where either all of the nodes or only a subset of the nodes may be in session. Traffic from each node in the session has to be sent to every other node in the session. If the session does not consist of all the nodes, the remaining nodes act as relays. The nodes are connected by undirected links whose capacities are independent and identically distributed random variables. We study the asymptotics of the capacity region (with network coding) in the limit of a large number of nodes, and show that the normalized sum rate converges to a constant almost surely. We then provide a decentralized push-pull algorithm that asymptotically achieves this normalized sum rate without network coding.

Original languageEnglish (US)
Article number6482634
Pages (from-to)5075-5087
Number of pages13
JournalIEEE Transactions on Information Theory
Issue number8
StatePublished - 2013


  • All-cast
  • Erdöcs-Rényi random graph
  • Steiner tree
  • broadcast
  • flows
  • matching
  • multicast
  • network coding
  • random graph
  • tree packing

ASJC Scopus subject areas

  • Information Systems
  • Computer Science Applications
  • Library and Information Sciences


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