Ephemeral Networks with Random Availability of Links: The Case of Fast Networks. Akrida, E. C., Gąsieniec, L., Mertzios, G. B., & Spirakis, P. G. 87:109-120.
Ephemeral Networks with Random Availability of Links: The Case of Fast Networks [link]Paper  doi  abstract   bibtex   
We consider here a model of temporal networks, the links of which are available only at certain moments in time, chosen randomly from a subset of the positive integers. We define the notion of the Temporal Diameter of such networks. We also define fast and slow such temporal networks with respect to the expected value of their temporal diameter. We then provide a partial characterization of fast random temporal networks. We also define the critical availability as a measure of periodic random availability of the links of a network, required to make the network fast. We finally give a lower bound as well as an upper bound on the (critical) availability.
@article{akridaEphemeralNetworksRandom2016,
  title = {Ephemeral Networks with Random Availability of Links: {{The}} Case of Fast Networks},
  volume = {87},
  issn = {0743-7315},
  url = {http://www.sciencedirect.com/science/article/pii/S0743731515001872},
  doi = {10.1016/j.jpdc.2015.10.002},
  shorttitle = {Ephemeral Networks with Random Availability of Links},
  abstract = {We consider here a model of temporal networks, the links of which are available only at certain moments in time, chosen randomly from a subset of the positive integers. We define the notion of the Temporal Diameter of such networks. We also define fast and slow such temporal networks with respect to the expected value of their temporal diameter. We then provide a partial characterization of fast random temporal networks. We also define the critical availability as a measure of periodic random availability of the links of a network, required to make the network fast. We finally give a lower bound as well as an upper bound on the (critical) availability.},
  journaltitle = {Journal of Parallel and Distributed Computing},
  shortjournal = {Journal of Parallel and Distributed Computing},
  urldate = {2018-02-22},
  date = {2016-01-01},
  pages = {109-120},
  keywords = {Availability,Diameter,Random input,Temporal networks},
  author = {Akrida, Eleni C. and Gąsieniec, Leszek and Mertzios, George B. and Spirakis, Paul G.},
  file = {/home/dimitri/Nextcloud/Zotero/storage/RJU2GI5T/10.1.1.721.6341.pdf;/home/dimitri/Nextcloud/Zotero/storage/6NLW8PWX/S0743731515001872.html}
}

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