New upper bound on m-time-relaxed k-broadcast graphs

Amir Averbuch, Irete Peeri, Yehuda Roditty

Research output: Contribution to journalArticlepeer-review

Abstract

Broadcasting is a process in which an individual has an item of information which needs to be transmitted to all of the members in a network (which is viewed as a connected graph). k-broadcasting is a variant of broadcasting in which each processor can transmit the message to up to k of its neighbors. Another variant of broadcasting is the concept of m-time-relaxed broadcasting, where we allow m additional time units, enabling one to decrease the number of edges in the communication network. The combination of m-time-relaxed and k-broadcasting is studied in this article. The results shown here are an improvement on the upper bound obtained by Harutyunyan and Liestman, Discrete Math 262 (2003), 149–157, by constructing a connected graph, which admits m-time-relaxed k-broadcasting for all n, and has fewer edges than the graph presented in Harutyunyan and Liestman, Discrete Math 262 (2003), 149–157.

Original languageEnglish
Pages (from-to)72-78
Number of pages7
JournalNetworks
Volume70
Issue number2
DOIs
StatePublished - Sep 2017

Keywords

  • Q-cube
  • broadcasting
  • k-broadcasting
  • k-nomial tree
  • m-time-relaxed broadcasting
  • m-time-relaxed k-broadcast graphs

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