P. Balister, B. Bollobás, A. Anandkumar, and A. S. Willsky, Energy-latency tradeoff for in-network function computation in random networks, 2011 Proceedings IEEE INFOCOM, pp.1575-1583, 2011.
DOI : 10.1109/INFCOM.2011.5934949

P. Balister, B. Bollobás, A. Sarkar, and M. Walters, Connectivity of random k-nearestneighbor graphs, Adv. in Appl. Probab, vol.37, pp.1-24, 2005.

Y. Choi, M. Khan, V. S. Kumar, and G. Pandurangan, Energy-optimal distributed algorithms for minimum spanning trees, Proceedings of the twentieth annual symposium on Parallelism in algorithms and architectures, SPAA '08, pp.188-190, 2008.
DOI : 10.1145/1378533.1378569

F. Grigorii-mikhailovich, The fundamentals of mathematical analysis, 1965.

A. Giridhar and P. R. Kumar, Computing and communicating functions over sensor networks, IEEE Journal on Selected Areas in Communications, vol.23, issue.4, pp.755-764, 2005.
DOI : 10.1109/JSAC.2005.843543

J. Gray, S. Chaudhuri, A. Bosworth, A. Layman, D. Reichart et al., Data cube: a relational aggregation operator generalizing GROUP-BY, CROSS-TAB, and SUB-TOTALS, Proceedings of the Twelfth International Conference on Data Engineering, pp.29-53, 1997.
DOI : 10.1109/ICDE.1996.492099

W. B. Heinzelman, A. P. Chandrakasan, and H. Balakrishnan, An application-specific protocol architecture for wireless microsensor networks, IEEE Transactions on Wireless Communications, vol.1, issue.4, pp.660-670, 2002.
DOI : 10.1109/TWC.2002.804190

W. Hoeffding, Probability Inequalities for Sums of Bounded Random Variables, Journal of the American Statistical Association, vol.1, issue.301, pp.13-30, 1963.
DOI : 10.1214/aoms/1177730491

T. Jurdzi´nskijurdzi´nski, M. Kuty?owski, and J. Zatopia´nskizatopia´nski, Energy-Efficient Size Approximation of Radio Networks with No Collision Detection, pp.279-289, 2002.

T. Jurdzi´nskijurdzi´nski, M. Kuty?owski, and J. Zatopia´nskizatopia´nski, Weak communication in single-hop radio networks: adjusting algorithms to industrial standards, Concurrency and Computation: Practice and Experience, vol.15, pp.11-12, 2003.

M. Klonowski, M. Koza, and M. Kuty?owski, Efficient and robust data aggregation using untrusted infrastructure, Proceedings of the 6th International Conference on Security of Information and Networks, SIN '13, pp.123-130, 2013.
DOI : 10.1145/2523514.2523535

M. Klonowski, M. Kuty?owski, and J. Zatopia´nskizatopia´nski, Energy efficient alert in single-hop networks of extremely weak devices, Theoretical Computer Science, vol.453, pp.65-74, 2012.
DOI : 10.1016/j.tcs.2012.01.044

H. Li, C. Wu, D. Yu, Q. Hua, and F. C. Lau, Aggregation Latency-Energy Tradeoff in Wireless Sensor Networks with Successive Interference Cancellation, IEEE Transactions on Parallel and Distributed Systems, vol.24, issue.11, pp.11-2160, 2013.
DOI : 10.1109/TPDS.2012.314

S. Lindsey, C. Raghavendra, and K. Sivalingam, Data gathering in sensor networks using the energy*delay metric, Proceedings 15th International Parallel and Distributed Processing Symposium. IPDPS 2001, pp.924-935, 2001.
DOI : 10.1109/IPDPS.2001.925196

M. Mitzenmacher and E. Upfal, Probability and Computing: Randomized Algorithms and Probabilistic Analysis, 2005.
DOI : 10.1017/CBO9780511813603

T. Moscibroda and R. Wattenhofer, The Complexity of Connectivity in Wireless Networks, See, 2006.

T. Moscibroda, R. Wattenhofer, and A. Zollinger, Topology control meets SINR:, Proceedings of the seventh ACM international symposium on Mobile ad hoc networking and computing , MobiHoc '06, pp.310-321, 2006.
DOI : 10.1145/1132905.1132939

D. Peleg, Distributed Computing: A Locality-Sensitive Approach, SIAM Monographs on Discrete Mathematics and Applications, 2000.
DOI : 10.1137/1.9780898719772

R. Rajagopalan and P. K. Varshney, Data-aggregation techniques in sensor networks: a survey, IEEE Communications Surveys & Tutorials, vol.8, issue.4, pp.1-4, 2006.
DOI : 10.1109/COMST.2006.283821

A. Rucinski-svante-janson and T. Luczak, Random Graphs, 2000.

E. W. Weisstein, Modified Bessel Function of the Second Kind, 2000.

F. Xue and P. R. Kumar, The Number of Neighbors Needed for Connectivity of Wireless Networks, Wireless Networks, vol.10, issue.2, pp.169-181, 2004.
DOI : 10.1023/B:WINE.0000013081.09837.c0

Y. Yu, B. Krishnamachari, and V. K. Prasanna, Energy-Latency Tradeoffs for Data Gathering in Wireless Sensor Networks, INFOCOM, 2004.

M. Zakrzewski, Markowe wyk?ady z matematyki, GiS, 2013.

Q. Zhao and L. Tong, Energy efficiency of large-scale wireless networks: proactive versus reactive networking, IEEE Journal on Selected Areas in Communications, vol.23, issue.5, pp.1100-1112, 2005.
DOI : 10.1109/JSAC.2005.845411

M. Zorzi and R. R. Rao, Geographic random forwarding (geraf) for ad hoc and sensor networks: energy and latency performance, IEEE Transactions on Mobile Computing, vol.2, issue.4, pp.349-365, 2003.
DOI : 10.1109/TMC.2003.1255650