Abstract
We propose a new task called \(\delta \)-local gossip, which can be viewed as a variant of both gossiping and geocasting. We motivate its study by showing how the tasks of discovering and maintaining neighbourhood information reduce to solving \(\delta \)-local gossip. We then provide a deterministic algorithm that solves \(\delta \)-local gossip when nodes travel on a line along arbitrary continuous trajectories with bounded speed.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsReferences
Anta, A.F., Milani, A., Mosteiro, M.A., Zaks, S.: Opportunistic information dissemination in mobile ad-hoc networks: the profit of global synchrony. Distrib. Comput. 25(4), 279–296 (2012). https://doi.org/10.1007/s00446-012-0165-9
Augustine, J., Pandurangan, G., Robinson, P.: Distributed algorithmic foundations of dynamic networks. SIGACT News 47(1), 69–98 (2016). https://doi.org/10.1145/2902945.2902959
Baldoni, R., Anta, A.F., Ioannidou, K., Milani, A.: The impact of mobility on the geocasting problem in mobile ad-hoc networks: solvability and cost. Theor. Comput. Sci. 412(12–14), 1066–1080 (2011). https://doi.org/10.1016/j.tcs.2010.12.006
Chung, H.C., Viqar, S., Welch, J.L.: Neighbor knowledge of mobile nodes in a road network. In: 2012 IEEE 32nd International Conference on Distributed Computing Systems, 18–21 June 2012, Macau, China, pp. 486–495. IEEE Computer Society (2012). https://doi.org/10.1109/ICDCS.2012.16
Clementi, A.E.F., Monti, A., Silvestri, R.: Selective families, superimposed codes, and broadcasting on unknown radio networks. In: Kosaraju, S.R. (ed.) Proceedings of the Twelfth Annual Symposium on Discrete Algorithms, 7–9 January 2001, Washington, DC, USA, pp. 709–718. ACM/SIAM (2001). http://dl.acm.org/citation.cfm?id=365411.365756
Cornejo, A., Viqar, S., Welch, J.L.: Reliable neighbor discovery for mobile ad hoc networks. Ad Hoc Netw. 12, 259–277 (2014). https://doi.org/10.1016/j.adhoc.2012.08.009
Dyachkov, A.G., Rykov, V.V., Rashad, A.M.: Superimposed distance codes. Problems Control Inform. Theory/Problemy Upravlen. Teor. Inform. 18(4), 237–250 (1989)
Ellen, F., Subramanian, S., Welch, J.: Maintaining information about nearby processors in a mobile environment. In: Chaudhuri, S., Das, S.R., Paul, H.S., Tirthapura, S. (eds.) ICDCN 2006. LNCS, vol. 4308, pp. 193–202. Springer, Heidelberg (2006). https://doi.org/10.1007/11947950_22
Erdös, P., Frankl, P., Füredi, Z.: Families of finite sets in which no set is covered by the union of \(r\) others. Israel J. Math. 51, 79–89 (1985)
Gasieniec, L., Pagourtzis, A., Potapov, I., Radzik, T.: Deterministic communication in radio networks with large labels. Algorithmica 47(1), 97–117 (2007). https://doi.org/10.1007/s00453-006-1212-3
Kautz, W., Singleton, R.: Nonrandom binary superimposed codes. IEEE Trans. Inf. Theory 10(4), 363–377 (1964)
Khan, A.A., Rehmani, M.H., Saleem, Y.: Neighbor discovery in traditional wireless networks and cognitive radio networks: basics, taxonomy, challenges and future research directions. J. Netw. Comput. Appl. 52, 173–190 (2015). https://doi.org/10.1016/j.jnca.2015.03.003
Krishnamurthy, S., et al.: Time-efficient distributed layer-2 auto-configuration for cognitive radio networks. Comput. Netw. 52(4), 831–849 (2008). https://doi.org/10.1016/j.comnet.2007.11.013
Kuhn, F., Lynch, N.A., Newport, C.C.: The abstract MAC layer. Distrib. Comput. 24(3–4), 187–206 (2011). https://doi.org/10.1007/s00446-010-0118-0
Kuhn, F., Oshman, R.: Dynamic networks: models and algorithms. SIGACT News 42(1), 82–96 (2011). https://doi.org/10.1145/1959045.1959064
Miller, A.: Gossiping in one-dimensional synchronous ad hoc wireless radio networks. In: Blin, L., Busnel, Y. (eds.) 4th Workshop on Theoretical Aspects of Dynamic Distributed Systems, TADDS 2012, 17 December 2012, Roma, Italy, pp. 32–43. ACM (2012). https://doi.org/10.1145/2414815.2414822
Miller, A.: Deterministic neighbourhood learning in ad hoc wireless radio networks. Ph.D. thesis, University of Toronto (2014). http://hdl.handle.net/1807/68138
Mittal, N., Krishnamurthy, S., Chandrasekaran, R., Venkatesan, S., Zeng, Y.: On neighbor discovery in cognitive radio networks. J. Parallel Distrib. Comput. 69(7), 623–637 (2009). https://doi.org/10.1016/j.jpdc.2009.03.008
Vaya, S.: Round complexity of leader election and gossiping in bidirectional radio networks. Inf. Process. Lett. 113(9), 307–312 (2013). https://doi.org/10.1016/j.ipl.2013.02.001
Acknowledgements
This work was partially supported by NSERC Discovery Grant 2017-05936. The author would like to thank Faith Ellen for her invaluable advice that substantially increased the quality of the results and presentation of this research.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2019 Springer Nature Switzerland AG
About this paper
Cite this paper
Miller, A. (2019). Local Gossip and Neighbour Discovery in Mobile Ad Hoc Radio Networks. In: Gilbert, S., Hughes, D., Krishnamachari, B. (eds) Algorithms for Sensor Systems. ALGOSENSORS 2018. Lecture Notes in Computer Science(), vol 11410. Springer, Cham. https://doi.org/10.1007/978-3-030-14094-6_1
Download citation
DOI: https://doi.org/10.1007/978-3-030-14094-6_1
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-14093-9
Online ISBN: 978-3-030-14094-6
eBook Packages: Computer ScienceComputer Science (R0)