Abstract
A communication network is very often modelled as a graph of connections in which the nodes exchange information (messages) via (un)directed links. An associated communication protocol determines the way the messages are exchanged. Among the most popular network models are: (1) the message passing model in which a node in one round can inform all its neighbours; (2) the telephone model also known as the matching model where in each round edges along which the exchange of messages is performed form a matching in the graph of connections. More recently, due to arrival of wireless technology (3) the radio network model attracted more attention in algorithms community. In this model, a message transmitted by a node is destined for all neighbours of this node. It is assumed, however, that due to interference a node can successfully receive a message if and only if exactly one of its neighbours transmits during this round.
The two most fundamental problems in relation to information dissemination are: broadcasting (one-to-all communication) and gossiping (total information exchange). In broadcasting, the goal is to distribute a piece of information (broadcast message) from a distinguished source node to all other nodes in the network. In gossiping, however, each node in the network is expected to distribute its own message to every other node in the network. A lot of attention has been given to the broadcasting problem that resulted in a large volume of efficient algorithmic solutions in the models described above. However, much less is known about gossiping. The latter problem is more complex algorithmically (in principle it is a simultaneous multiple-source broadcasting) thus it concerns more advanced communication strategies. Further study on efficient gossiping methods gained recently an extra motivation through an increasing interest in, e.g., information aggregation methods that propel fundamental applications in sensor networks. Also when the use of randomisation is permitted gossiping provides an interesting context for a distributed version of the coupon collector problem.
This paper is a short survey on the most important developments in efficient radio gossiping. We discuss deterministic as well as randomized methods of communication in the context of a variety of models taking into account knowledge in relation to the network size and topology, orientation of connections and the upper bound on the size of messages. Using this opportunity we also shed more light on several combinatorial structures and algorithmic solutions that emerged during studies on efficient radio broadcasting and gossiping.
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 subscriptionsPreview
Unable to display preview. Download preview PDF.
References
Alon, N., Bar-Noy, A., Linial, N., Peleg, D.: A lower bound for radio broadcast. Journal of Computer and System Sciences 43, 290–298 (1991)
Bar-Yehuda, R., Goldreich, O., Itai, A.: On the time complexity of broadcast in radio networks: an exponential gap between determinism and randomization. Journal of Computer and System Sciences 45, 104–126 (1992)
Berenbrink, P., Cooper, C., Hu, Z.: Energy efficient randomised communication in unknown AdHoc networks. In: Proc. 19th Annual ACM Symposium on Parallel Algorithms and Architectures, SPAA 2007, pp. 250–259 (2007)
Cheng, Y., Du, D.Z.: New constructions of one- and two-stage pooling designs. Journal on Computational Biology 15, 195–205 (2008)
Chlamtac, I., Kutten, S.: On broadcasting in radio networks - problem analysis and protocol design. IEEE Transactions on Communications 33, 1240–1246 (1985)
Chlamtac, I., Weinstein, O.: The wave expansion approach to broadcasting in multihop radio networks. IEEE Transactions on Communications 39(9), 426–433 (1991)
Chlebus, B.S., Gąsieniec, L., Östlin, A., Robson, J.M.: Deterministic Radio Broadcasting. In: Welzl, E., Montanari, U., Rolim, J.D.P. (eds.) ICALP 2000. LNCS, vol. 1853, pp. 717–728. Springer, Heidelberg (2000)
Chlebus, B.S., Gąsieniec, L., Gibbons, A., Pelc, A., Rytter, W.: Deterministic broadcasting in unknown radio networks. Distributed Computing 15(1), 27–38 (2002)
Chlebus, B.S., Kowalski, D.R.: Almost Optimal Explicit Selectors. In: Liśkiewicz, M., Reischuk, R. (eds.) FCT 2005. LNCS, vol. 3623, pp. 270–280. Springer, Heidelberg (2005)
Christersson, M., Gąsieniec, L., Lingas, A.: Gossiping with Bounded Size Messages in ad hoc Radio Networks. In: Widmayer, P., Triguero, F., Morales, R., Hennessy, M., Eidenbenz, S., Conejo, R. (eds.) ICALP 2002. LNCS, vol. 2380, pp. 377–389. Springer, Heidelberg (2002)
Chrobak, M., Gąsieniec, L., Rytter, W.: Fast broadcasting and gossiping in radio networks. Journal on Algorithms 43(2), 177–189 (2002)
Chrobak, M., Gąsieniec, L., Rytter, W.: A randomized algorithm for gossiping in radio networks. Networks 43(2), 119–124 (2004)
Clementi, A.E.F., Monti, A., Silvestri, R.: Selective families, superimposed codes, and broadcasting on unknown radio networks. In: Proc. 12th Annual ACM-SIAM symposium on Discrete algorithms, SODA 2001, pp. 709–718 (2001)
Clementi, A.E.F., Monti, A., Silvestri, R.: Distributed broadcasting in radio networks of unknown topology. Theoretical Computer Science 302, 337–364 (2003)
Czumaj, A., Rytter, W.: Broadcasting algorithms in radio networks with unknown topology. Journal on Algorithms 60(2), 115–143 (2006)
Czumaj, A., Wang, X.: Fast Message Dissemination in Random Geometric Ad-Hoc Radio Networks. In: Tokuyama, T. (ed.) ISAAC 2007. LNCS, vol. 4835, pp. 220–231. Springer, Heidelberg (2007)
De Bonis, A., Gąsieniec, L., Vaccaro, U.: Optimal Two-Stage Algorithms for Group Testing Problems. SIAM Journal on Computing 34(5), 1253–1270 (2005)
De Marco, G.: Distributed broadcast in unknown radio networks. In: Proc. of 19th Annual ACM-SIAM Symposium on Discrete Algorithms, SODA 2008, pp. 208–217 (2008)
De Marco, G., Pelc, A.: Faster broadcasting in unknown radio networks. Information Processing Letters 79, 53–56 (2001)
Du, D.Z., Hwang, F.K.: Combinatorial Group Testing and Its Applications. World Scientific, River Edge (2000)
Elkin, M., Kortsarz, G.: An improved algorithm for radio broadcast. ACM Transactions on Algorithms 3(1), 1–21 (2007)
Eppstein, D., Goodrich, M.T., Hirschberg, D.S.: Improved combinatorial group testing algorithms for real-world problem sizes. SIAM Journal on Computing 36, 1360–1375 (2007)
Erdös, P., Frankl, P., Füredi, Z.: Families of finite sets in which no set is covered by the union of r others. Israel Journal of Mathematics 51, 75–89 (1985)
Farach-Colton, M., Mosteiro, M.A.: Sensor Network Gossiping or How to Break the Broadcast Lower Bound. In: Tokuyama, T. (ed.) ISAAC 2007. LNCS, vol. 4835, pp. 232–243. Springer, Heidelberg (2007)
Gaber, I., Mansour, Y.: Centralized broadcast in multihop radio networks. Journal of Algorithms 46(1), 1–20 (2003)
Galčík, F., Gąsieniec, L., Lingas, A.: Efficient broadcasting in known topology radio networks with long-range interference. In: Proc. 28th Annual ACM SIGACT-SIGOPS Symposium on Principles of Distributed Computing, PODC 2009, pp. 230–239 (2009)
Gąsieniec, L., Kantor, E., Kowalski, D.R., Peleg, D., Su, C.: Time efficient k-shot broadcasting in known topology radio networks. Distributed Computing 21(2), 117–127 (2008)
Gąsieniec, L., Kranakis, E., Pelc, A., Xin, Q.: Deterministic M2M multicast in radio networks. Theoretical Computer Science 362(1-3), 196–206 (2006)
Gąsieniec, L., Lingas, A.: On adaptive deterministic gossiping in ad hoc radio network. In: Proc. 13th Annual ACM-SIAM symposium on Discrete Algorithms, SODA 2002, pp. 689–690 (2002)
Gąsieniec, L., Pagourtzis, A., Potapov, I.: Deterministic Communication in Radio Networks with Large Labels. In: Möhring, R.H., Raman, R. (eds.) ESA 2002. LNCS, vol. 2461, pp. 512–524. Springer, Heidelberg (2002)
Gąsieniec, L., Peleg, D., Xin, Q.: Faster communication in known topology radio networks. Distributed Computing 19(4), 289–300 (2007)
Gąsieniec, L., Potapov, I.: Gossiping with Unit Messages in Known Radio Networks. In: IFIP TCS 2002, pp. 193–205 (2002)
Gąsieniec, L., Potapov, I., Xin, Q.: Time efficient centralized gossiping in radio networks. Theoretical Computer Science 383(1), 45–58 (2007)
Gąsieniec, L., Radzik, T., Xin, Q.: Faster Deterministic Gossiping in Directed Ad Hoc Radio Networks. In: Hagerup, T., Katajainen, J. (eds.) SWAT 2004. LNCS, vol. 3111, pp. 397–407. Springer, Heidelberg (2004)
Gupta, P., Kumar, P.R.: The Capacity of Wireless Networks. IEEE Transactions on Information Theory 46(2), 388–404 (2000)
Indyk, P.: Explicit constructions of selectors and related combinatorial structures, with applications. In: Proc. of 13th Annual ACM-SIAM Symposium on Discrete Algorithms, SODA 2002, pp. 697–704 (2002)
Kautz, W.H., Singleton, R.R.: Nonrandom binary superimposed codes. IEEE Transactions on Information Theory 10, 363–377 (1964)
Kowalski, D.R., Pelc, A.: Broadcasting in undirected ad hoc radio networks. Distributed Computing 18(1), 43–57 (2005)
Kowalski, D.R., Pelc, A.: Optimal Deterministic Broadcasting in Known Topology Radio Networks. Distributed Computing 19(3), 185–195 (2007)
Kushilevitz, E., Mansour, Y.: An Ω(Dlog(N/D)) lower bound for broadcast in radio networks. SIAM Journal on Computing 27, 702–712 (1998)
Liu, D., Prabhakaran, M.: On Randomized Broadcasting and Gossiping in Radio Networks. In: Ibarra, O.H., Zhang, L. (eds.) COCOON 2002. LNCS, vol. 2387, pp. 340–349. Springer, Heidelberg (2002)
Xin, Q., Manne, F.: Optimal Gossiping with Unit Size Messages in Known Topology Radio Networks. In: Erlebach, T. (ed.) CAAN 2006. LNCS, vol. 4235, pp. 125–134. Springer, Heidelberg (2006)
Peleg, D.: Deterministic radio broadcast with no topological knowledge (2000) (Manuscript)
Ravelomanana, V.: Optimal initialization and gossiping algorithms for random radio networks. IEEE Transactions on Parallel Distributed Systems 18(1), 17–28 (2007)
Strahler, A.N.: Hypsometric (area-altitude) analysis of erosional topology. Bulletin of Geological Society of America 63, 1117–1142 (1952)
Vishkin, U.: Deterministic sampling - A new technique for fast pattern matching. SIAM Journal on Computing 20, 22–40 (1991)
Xu, Y.: An O(n 3/2) deterministic algorithm for radio networks. Algorithmica 36(1), 93–96 (2003)
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2010 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Gąsieniec, L. (2010). On Efficient Gossiping in Radio Networks. In: Kutten, S., Žerovnik, J. (eds) Structural Information and Communication Complexity. SIROCCO 2009. Lecture Notes in Computer Science, vol 5869. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-11476-2_2
Download citation
DOI: https://doi.org/10.1007/978-3-642-11476-2_2
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-11475-5
Online ISBN: 978-3-642-11476-2
eBook Packages: Computer ScienceComputer Science (R0)