Mediated Population Protocols: Leader Election and Applications

  • Shantanu Das
  • Giuseppe Antonio Di Luna
  • Paola Flocchini
  • Nicola Santoro
  • Giovanni Viglietta
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 10185)


Mediated population protocols are an extension of population protocols in which communication links, as well as agents, have internal states. We study the leader election problem and some applications in constant-state mediated population protocols. Depending on the power of the adversarial scheduler, our algorithms are either stabilizing or allow the agents to explicitly reach a terminal state.

We show how to elect a unique leader if the graph of the possible interactions between agents is complete (as in the traditional population protocol model) or a tree. Moreover, we prove that a leader can be elected in a complete bipartite graph if and only if the two sides have coprime size.

We then describe how to take advantage of the presence of a leader to solve the tasks of token circulation and construction of a shortest-path spanning tree of the network. Finally, we prove that with a leader we can transform any stabilizing protocol into a terminating one that solves the same task.


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Copyright information

© Springer International Publishing AG 2017

Authors and Affiliations

  • Shantanu Das
    • 1
  • Giuseppe Antonio Di Luna
    • 2
  • Paola Flocchini
    • 2
  • Nicola Santoro
    • 3
  • Giovanni Viglietta
    • 2
  1. 1.LIF, Aix-Marseille University, and CNRSMarseilleFrance
  2. 2.University of OttawaOttawaCanada
  3. 3.Carleton UniversityOttawaCanada

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