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2011 | OriginalPaper | Buchkapitel

6. Theoretical Aspects of Graph Models for MANETs

verfasst von : Josep Díaz, Dieter Mitsche, Paolo Santi

Erschienen in: Theoretical Aspects of Distributed Computing in Sensor Networks

Verlag: Springer Berlin Heidelberg

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Abstract

We survey the main theoretical aspects of models for mobile ad hoc networks (MANETs). We present theoretical characterizations of mobile network structural properties, different dynamic graph models of MANETs, and finally we give detailed summaries of a few selected articles. In particular, we focus on articles dealing with connectivity of mobile networks and on articles which show that mobility can be used to propagate information between nodes of the network while at the same time maintaining small transmission distances and thus saving energy.

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Fußnoten
1
Note that a usual graph with n vertices is said to be dense if it has \(\varTheta(n^2)\) edges.
 
2
Note that the fact that the expected pause time at waypoints tends to infinity implies that nodes are asymptotically static, i.e., RWP model under this condition degenerates to a static network.
 
3
Values of \(f_{{\mathrm{RWP}},0}\) in the other regions of the unit square are obtained by symmetry.
 
Literatur
1.
Zurück zum Zitat V. Anand A. Bharathidasas. Sensor Networks: An Overview. Technical Report, Department of Computer Science, University of California at Davis, 2002. V. Anand A. Bharathidasas. Sensor Networks: An Overview. Technical Report, Department of Computer Science, University of California at Davis, 2002.
2.
Zurück zum Zitat C. Avin and G. Ercal. On the cover time and mixing time of random geometric graphs. Theoretical Computer Science, 380(1-2):2–22, 2007.MATHCrossRefMathSciNet C. Avin and G. Ercal. On the cover time and mixing time of random geometric graphs. Theoretical Computer Science, 380(1-2):2–22, 2007.MATHCrossRefMathSciNet
3.
Zurück zum Zitat P. K. Agarwal, L. J. Guibas, H. Edelsbrunner, J. Erickson, M. Isard, S. Har-Peled, J. Hershberger, C. Jensen, L. Kavraki, P. Koehl, M. Lin, D. Manocha, D. Metaxas, B. Mirtich, D. Mount, S. Muthukrishnan, D. Pai, E. Sacks, J. Snoeyink, S. Suri, and O. Wolefson. Algorithmic issues in modeling motion. ACM Computing Surveys, 34(4):550–572, 2002.CrossRef P. K. Agarwal, L. J. Guibas, H. Edelsbrunner, J. Erickson, M. Isard, S. Har-Peled, J. Hershberger, C. Jensen, L. Kavraki, P. Koehl, M. Lin, D. Manocha, D. Metaxas, B. Mirtich, D. Mount, S. Muthukrishnan, D. Pai, E. Sacks, J. Snoeyink, S. Suri, and O. Wolefson. Algorithmic issues in modeling motion. ACM Computing Surveys, 34(4):550–572, 2002.CrossRef
4.
Zurück zum Zitat I. F. Akyildiz, W. Su, Y. Sankarasubramaniam, and E. Cayirci. Wireless sensor networks: a survey. Computer Networks, 38:393–422, 2002.CrossRef I. F. Akyildiz, W. Su, Y. Sankarasubramaniam, and E. Cayirci. Wireless sensor networks: a survey. Computer Networks, 38:393–422, 2002.CrossRef
5.
Zurück zum Zitat A. Boukerche and L. Bononi. Simulation and modeling of wireless, mobile, and ad hoc networks. In S. Basagni, M. Conti, S. Giordano, and I. Stojmenović, editors, Mobile Ad Hoc Networking, chapter 14, pages 373–409. IEEE Press, New York, NY, 2004. A. Boukerche and L. Bononi. Simulation and modeling of wireless, mobile, and ad hoc networks. In S. Basagni, M. Conti, S. Giordano, and I. Stojmenović, editors, Mobile Ad Hoc Networking, chapter 14, pages 373–409. IEEE Press, New York, NY, 2004.
6.
Zurück zum Zitat C. Bettstetter. Mobility modeling in wireless networks: categorization, smooth movement, and border effects. Mobile Computing and Communications Review, 5(3):55–66, 2001.CrossRef C. Bettstetter. Mobility modeling in wireless networks: categorization, smooth movement, and border effects. Mobile Computing and Communications Review, 5(3):55–66, 2001.CrossRef
7.
Zurück zum Zitat C. Bettstetter. Smooth is better than sharp: a random mobility model for simulation of wireless networks. In Proceedings of the 4th ACM International Workshop on Modeling, Analysis and Simulation of Wireless and Mobile Systems, pages 19–27, ACM, New York, 2001. C. Bettstetter. Smooth is better than sharp: a random mobility model for simulation of wireless networks. In Proceedings of the 4th ACM International Workshop on Modeling, Analysis and Simulation of Wireless and Mobile Systems, pages 19–27, ACM, New York, 2001.
9.
Zurück zum Zitat C. Bettstetter, G. Resta, and P. Santi. The node distribution of the random waypoint mobility model for wireless ad hoc networks. IEEE Transactions on Mobile Computing, 2(3):257–269, 2003.CrossRef C. Bettstetter, G. Resta, and P. Santi. The node distribution of the random waypoint mobility model for wireless ad hoc networks. IEEE Transactions on Mobile Computing, 2(3):257–269, 2003.CrossRef
10.
Zurück zum Zitat T. Camp, J. Boleng, and V. Davies. A survey of mobility models for ad hoc network research. Wireless Communications and Mobile Computing, 2(5):483–502, 2002.CrossRef T. Camp, J. Boleng, and V. Davies. A survey of mobility models for ad hoc network research. Wireless Communications and Mobile Computing, 2(5):483–502, 2002.CrossRef
11.
Zurück zum Zitat Y. A. Chau and Y.-H. Chen. Analytical link lifetime of a manet based on the three-dimensional brownian mobility model. In Proceedings of the International Symposium on intelligent Signal Processing and Communication Systems, (ISPACS), pages 428–431, IEEE Computer Society, Los Alamitos, CA, 2007. Y. A. Chau and Y.-H. Chen. Analytical link lifetime of a manet based on the three-dimensional brownian mobility model. In Proceedings of the International Symposium on intelligent Signal Processing and Communication Systems, (ISPACS), pages 428–431, IEEE Computer Society, Los Alamitos, CA, 2007.
13.
Zurück zum Zitat A. E. F. Clementi, F. Pasquale, and R. Silvestri. Manets: High mobility can make up for low transmission power. In S. Albers, A. Marchetti-Spaccamela, Y. Matias, S. E. Nikoletseas, and W. Thomas, editors, Proceedings of 36th International Collogquium on Automata, Languages and Programming, pages 387–398, 2009. A. E. F. Clementi, F. Pasquale, and R. Silvestri. Manets: High mobility can make up for low transmission power. In S. Albers, A. Marchetti-Spaccamela, Y. Matias, S. E. Nikoletseas, and W. Thomas, editors, Proceedings of 36th International Collogquium on Automata, Languages and Programming, pages 387–398, 2009.
14.
Zurück zum Zitat C. de Morais Cordero and D. P. Agrawal. Ad Hoc and Sensor Networks. World Scientific, New Jersey, 2006. C. de Morais Cordero and D. P. Agrawal. Ad Hoc and Sensor Networks. World Scientific, New Jersey, 2006.
15.
Zurück zum Zitat J. Díaz, D. Mitsche, and X. Pérez. Connectivity for dynamic random geometric graphs. IEEE Transactions on Mobile Computing, 8:821–835, 2009.CrossRef J. Díaz, D. Mitsche, and X. Pérez. Connectivity for dynamic random geometric graphs. IEEE Transactions on Mobile Computing, 8:821–835, 2009.CrossRef
16.
Zurück zum Zitat J. Díaz, D. Mitsche, and X. Pérez. On the probability of existence of mid-size components in random geometric graphs. Advances of Applied Probability, 41:1–14, 2009.CrossRef J. Díaz, D. Mitsche, and X. Pérez. On the probability of existence of mid-size components in random geometric graphs. Advances of Applied Probability, 41:1–14, 2009.CrossRef
17.
Zurück zum Zitat J. Díaz, J. Petit, and M. J. Serna. A random graph model for optical networks of sensors. IEEE Transactions on Mobile Computing, 2:143–154, 2003.CrossRef J. Díaz, J. Petit, and M. J. Serna. A random graph model for optical networks of sensors. IEEE Transactions on Mobile Computing, 2:143–154, 2003.CrossRef
18.
Zurück zum Zitat J. Díaz, X. Pérez, M. J. Serna, and N. Wormald. On the walkers problem. SIAM Journal of Discrete Mathematics, 22:747–775, 2008.MATHCrossRef J. Díaz, X. Pérez, M. J. Serna, and N. Wormald. On the walkers problem. SIAM Journal of Discrete Mathematics, 22:747–775, 2008.MATHCrossRef
19.
Zurück zum Zitat S. Dolev, E. Schiller, and J. L. Welch. Random walk for self-stabilizing group communication in ad hoc networks. IEEE Trans. Mobile Computing, 5(7):893–905, 2006.CrossRef S. Dolev, E. Schiller, and J. L. Welch. Random walk for self-stabilizing group communication in ad hoc networks. IEEE Trans. Mobile Computing, 5(7):893–905, 2006.CrossRef
20.
Zurück zum Zitat L. J. Guibas, J. Hershberger, S. Suri, and L. Zhang. Kinetic connectivity for unit disks. Discrete & Computational Geometry, 25:591–610, 2001.MATHMathSciNet L. J. Guibas, J. Hershberger, S. Suri, and L. Zhang. Kinetic connectivity for unit disks. Discrete & Computational Geometry, 25:591–610, 2001.MATHMathSciNet
21.
Zurück zum Zitat E. N. Gilbert. Random plane networks. Journal of the Society for Industrial and Applied Mathematics, 9:533–543, 1961.MATHCrossRef E. N. Gilbert. Random plane networks. Journal of the Society for Industrial and Applied Mathematics, 9:533–543, 1961.MATHCrossRef
22.
Zurück zum Zitat P. Gupta and P. R. Kumar. Critical power for asymptotic connectivity in wireless networks. In W. McEneaney, G. G. Yin, and Q. Zhang, editors, Stochastic Analysis, Control, Optimization and Applications: A Volume in Honor of W.H. Fleming, pages 547–566. Birkhäuser, 1998. P. Gupta and P. R. Kumar. Critical power for asymptotic connectivity in wireless networks. In W. McEneaney, G. G. Yin, and Q. Zhang, editors, Stochastic Analysis, Control, Optimization and Applications: A Volume in Honor of W.H. Fleming, pages 547–566. Birkhäuser, 1998.
23.
24.
Zurück zum Zitat M. C. Golumbic. Algorithmic Graph Theory and Perfect Graphs. Academic Press, New York, NY, 1980.MATH M. C. Golumbic. Algorithmic Graph Theory and Perfect Graphs. Academic Press, New York, NY, 1980.MATH
25.
Zurück zum Zitat A. Goel, S. Rai, and B. Krishnamachari. Sharp thresholds for monotone properties in random geometric graphs. Annals of Applied Probability, 15:364–370, 2005.MathSciNet A. Goel, S. Rai, and B. Krishnamachari. Sharp thresholds for monotone properties in random geometric graphs. Annals of Applied Probability, 15:364–370, 2005.MathSciNet
26.
Zurück zum Zitat G. Grimmett and D. Stirzaker. Probability and Random Processes. Oxford University Press, 2001. G. Grimmett and D. Stirzaker. Probability and Random Processes. Oxford University Press, 2001.
27.
Zurück zum Zitat M. Grossglauser and D. N. C. Tse. Mobility increases the capacity of ad hoc wireless networks. IEEE/ACM Transactions on Networking, 10(4):477–486, 2002.CrossRef M. Grossglauser and D. N. C. Tse. Mobility increases the capacity of ad hoc wireless networks. IEEE/ACM Transactions on Networking, 10(4):477–486, 2002.CrossRef
28.
Zurück zum Zitat R. A. Guerin. Channel occupancy time distribution in a cellular radio system. IEEE Transactions on Vehicular Technology, 36(3):89–99, 1987.CrossRef R. A. Guerin. Channel occupancy time distribution in a cellular radio system. IEEE Transactions on Vehicular Technology, 36(3):89–99, 1987.CrossRef
29.
Zurück zum Zitat S. Guo and O. W. W. Yang. Energy-aware multicasting in wireless ad hoc networks: A survey and discussion. Computer Communications, 30:2129–2148, 2007.CrossRef S. Guo and O. W. W. Yang. Energy-aware multicasting in wireless ad hoc networks: A survey and discussion. Computer Communications, 30:2129–2148, 2007.CrossRef
30.
Zurück zum Zitat P. G. Hall. Introduction to the Theory of Coverage Processes. Wiley, New York, NY, 1988.MATH P. G. Hall. Introduction to the Theory of Coverage Processes. Wiley, New York, NY, 1988.MATH
31.
Zurück zum Zitat R. Hekmat. Ad-hoc Networks: Fundamental Properties and Network Topologies. Springer, Heidelberg, 2006. R. Hekmat. Ad-hoc Networks: Fundamental Properties and Network Topologies. Springer, Heidelberg, 2006.
32.
Zurück zum Zitat X. Hong, M. Gerla, G. Pei, and C.-C. Chiang. A group mobility model for ad hoc wireless networks. In Proceedings of the 2nd ACM international workshop on Modeling, Analysis and Simulation of Wireless and Mobile Systems (MSWiM), pages 53–60, ACM, New York, NY, 1999. X. Hong, M. Gerla, G. Pei, and C.-C. Chiang. A group mobility model for ad hoc wireless networks. In Proceedings of the 2nd ACM international workshop on Modeling, Analysis and Simulation of Wireless and Mobile Systems (MSWiM), pages 53–60, ACM, New York, NY, 1999.
33.
Zurück zum Zitat E. Hyytiä, P. Lassila, and J. Virtamo. Spatial node distribution of the random waypoint mobility model with applications. IEEE Transactions on Mobile Computing, 5(6):680–694, 2006.CrossRef E. Hyytiä, P. Lassila, and J. Virtamo. Spatial node distribution of the random waypoint mobility model with applications. IEEE Transactions on Mobile Computing, 5(6):680–694, 2006.CrossRef
34.
Zurück zum Zitat M. Hollick, I. Martinovic, T. Krop, and I. Rimac. A survey on dependable routing in sensor networks, ad hoc networks, and cellular networks. In EUROMICRO Conference, pages 495–502, Los Alamitos, CA, 2004. IEEE Computer Society. M. Hollick, I. Martinovic, T. Krop, and I. Rimac. A survey on dependable routing in sensor networks, ad hoc networks, and cellular networks. In EUROMICRO Conference, pages 495–502, Los Alamitos, CA, 2004. IEEE Computer Society.
35.
Zurück zum Zitat Z. J. Haas and M. R. Pearlman. The performance of query control schemes for the zone routing protocol. IEEE/ACM Transactions on Networking, 9(4):427–438, 2001.CrossRef Z. J. Haas and M. R. Pearlman. The performance of query control schemes for the zone routing protocol. IEEE/ACM Transactions on Networking, 9(4):427–438, 2001.CrossRef
36.
Zurück zum Zitat A. P. Jardosh, E. M. Belding-Royer, K. C. Almeroth, and S. Suri. Real-world environment models for mobile network evaluation. IEEE Journal on Selected Areas in Communications, 23(3):622–632, 2005.CrossRef A. P. Jardosh, E. M. Belding-Royer, K. C. Almeroth, and S. Suri. Real-world environment models for mobile network evaluation. IEEE Journal on Selected Areas in Communications, 23(3):622–632, 2005.CrossRef
37.
Zurück zum Zitat D. B. Johnson and D. A. Maltz. Dynamic source routing in ad hoc wireless networks. In Mobile Computing, pages 153–181. Kluwer Academic Publishers, 1996. D. B. Johnson and D. A. Maltz. Dynamic source routing in ad hoc wireless networks. In Mobile Computing, pages 153–181. Kluwer Academic Publishers, 1996.
38.
Zurück zum Zitat P. Jacquet, B. Mans, and G. Rodolakis. Information propagation speed in mobile and delay tolerant networks. In Proceeding of the 29th Annual Joint Conference of the IEEE Computer and Communications Societies (INFOCOM), Los Alamitos, CA, 2009. IEEE Computer Society. P. Jacquet, B. Mans, and G. Rodolakis. Information propagation speed in mobile and delay tolerant networks. In Proceeding of the 29th Annual Joint Conference of the IEEE Computer and Communications Societies (INFOCOM), Los Alamitos, CA, 2009. IEEE Computer Society.
39.
Zurück zum Zitat L. M. Kirousis, E. Kranakis, D. Krizanc, and A. Pelc. Power consumption in packet radio networks. Theoretical Computer Science, 243(1-2):289–305, 2000.MATHCrossRefMathSciNet L. M. Kirousis, E. Kranakis, D. Krizanc, and A. Pelc. Power consumption in packet radio networks. Theoretical Computer Science, 243(1-2):289–305, 2000.MATHCrossRefMathSciNet
40.
Zurück zum Zitat S. Kumar, T.-H. Lai, and J. Balogh. On k-coverage in a mostly sleeping sensor network. Wireless Networks, 14:277–294, 2008.CrossRef S. Kumar, T.-H. Lai, and J. Balogh. On k-coverage in a mostly sleeping sensor network. Wireless Networks, 14:277–294, 2008.CrossRef
41.
Zurück zum Zitat W. Kieß and M. Mauve. A survey on real-world implementations of mobile ad-hoc networks. Ad Hoc Networks, 5:324–339, 2007.CrossRef W. Kieß and M. Mauve. A survey on real-world implementations of mobile ad-hoc networks. Ad Hoc Networks, 5:324–339, 2007.CrossRef
42.
Zurück zum Zitat X.-Y. Li. Topology control in wireless ad hoc networks. In S. Basagni, M. Conti, S. Giordano, and I. Stojmenović, editors, Mobile Ad Hoc Networking, chapter 6, pages 175–204. IEEE Press, New York, NY, 2004. X.-Y. Li. Topology control in wireless ad hoc networks. In S. Basagni, M. Conti, S. Giordano, and I. Stojmenović, editors, Mobile Ad Hoc Networking, chapter 6, pages 175–204. IEEE Press, New York, NY, 2004.
43.
Zurück zum Zitat J.-Y. LeBoudec and M. Vojnović. The random trip model: Stability, stationary regime, and perfect simulation. IEEE/ACM Transactions on Networking, 14:1153–1166, 2006.CrossRef J.-Y. LeBoudec and M. Vojnović. The random trip model: Stability, stationary regime, and perfect simulation. IEEE/ACM Transactions on Networking, 14:1153–1166, 2006.CrossRef
44.
Zurück zum Zitat S. Meguerdichian, F. Koushanfar, M. Potkonjak, and M. B. Srivastava. Coverage problems in wireless ad-hoc sensor networks. In Proceeding of the 19th Annual Joint Conference of the IEEE Computer and Communications Societies (INFOCOM), pages 1380–1387, 2001. S. Meguerdichian, F. Koushanfar, M. Potkonjak, and M. B. Srivastava. Coverage problems in wireless ad-hoc sensor networks. In Proceeding of the 19th Annual Joint Conference of the IEEE Computer and Communications Societies (INFOCOM), pages 1380–1387, 2001.
45.
46.
47.
48.
Zurück zum Zitat J. Pitman. Probability. Springer, New York, NY, 1999. J. Pitman. Probability. Springer, New York, NY, 1999.
49.
Zurück zum Zitat R. Rajaraman. Topology control and routing in ad hoc networks: A survey. SIGACT News, 33:60–73, 2002.CrossRef R. Rajaraman. Topology control and routing in ad hoc networks: A survey. SIGACT News, 33:60–73, 2002.CrossRef
50.
Zurück zum Zitat E. M. Royer and C-K. Toh. A review of current routing protocols for ad-hoc mobile wireless networks. IEEE Personal Communications, 7:46–55, 1999.CrossRef E. M. Royer and C-K. Toh. A review of current routing protocols for ad-hoc mobile wireless networks. IEEE Personal Communications, 7:46–55, 1999.CrossRef
51.
Zurück zum Zitat P. Santi. The critical transmitting range for connectivity in mobile ad hoc networks. IEEE Transactions Mobile Computing, 4(3):310–317, 2005.CrossRef P. Santi. The critical transmitting range for connectivity in mobile ad hoc networks. IEEE Transactions Mobile Computing, 4(3):310–317, 2005.CrossRef
52.
Zurück zum Zitat P. Santi. Topology control in wireless ad hoc and sensor networks. ACM Computing Surveys, 37:164–194, 2005.CrossRef P. Santi. Topology control in wireless ad hoc and sensor networks. ACM Computing Surveys, 37:164–194, 2005.CrossRef
53.
Zurück zum Zitat P. Santi and D. M. Blough. The critical transmitting range for connectivity in sparse wireless ad hoc networks. IEEE Transactions on Mobile Computing, 2(1):25–39, 2003.CrossRef P. Santi and D. M. Blough. The critical transmitting range for connectivity in sparse wireless ad hoc networks. IEEE Transactions on Mobile Computing, 2(1):25–39, 2003.CrossRef
54.
Zurück zum Zitat P. Santi, D. M. Blough, and F. S. Vainstein. A probabilistic analysis for the range assignment problem in ad hoc networks. In Proceedings of the 2nd ACM International Symposium on Mobile Ad Hoc Networking and Computing, (MobiHoc), pages 212–220, 2001. P. Santi, D. M. Blough, and F. S. Vainstein. A probabilistic analysis for the range assignment problem in ad hoc networks. In Proceedings of the 2nd ACM International Symposium on Mobile Ad Hoc Networking and Computing, (MobiHoc), pages 212–220, 2001.
55.
Zurück zum Zitat A. Sen and M. L. Huson. A new model for scheduling packet radio networks. In Proceedings of the 15th Annual Joint Conference of the IEEE Computer and Communications Societies (INFOCOM), IEEE Computer Society, Los Alamitos, CA, 1997. A. Sen and M. L. Huson. A new model for scheduling packet radio networks. In Proceedings of the 15th Annual Joint Conference of the IEEE Computer and Communications Societies (INFOCOM), IEEE Computer Society, Los Alamitos, CA, 1997.
56.
Zurück zum Zitat S. Schmid and R. Wattenhofer. Algorithmic models for sensor networks. In Proceedings of the 20th International Parallel and Distributed Processing Symposium (IPDPS), IEEE Computer Society, Los Alamitos, CA, 2006. S. Schmid and R. Wattenhofer. Algorithmic models for sensor networks. In Proceedings of the 20th International Parallel and Distributed Processing Symposium (IPDPS), IEEE Computer Society, Los Alamitos, CA, 2006.
57.
Zurück zum Zitat S. Tilak, N. B. Abu-Ghazaleh, and W. Heinzelman. A taxonomy of sensor network communication models. Mobile Computing and Communication Review, 6:28–36, 2002.CrossRef S. Tilak, N. B. Abu-Ghazaleh, and W. Heinzelman. A taxonomy of sensor network communication models. Mobile Computing and Communication Review, 6:28–36, 2002.CrossRef
58.
Zurück zum Zitat J. Tian, J. Hahner, C. Becker, I. Stepanov, and K. Rothermel. Graph-based mobility model for mobile ad hoc network simulation. In Proceedings. 35th Annual Simulation Symposium, IEEE Computer Society, Los Alamitos, CA, 2002. J. Tian, J. Hahner, C. Becker, I. Stepanov, and K. Rothermel. Graph-based mobility model for mobile ad hoc network simulation. In Proceedings. 35th Annual Simulation Symposium, IEEE Computer Society, Los Alamitos, CA, 2002.
59.
Zurück zum Zitat E. J. van Leeuwen. Optimization and Approximation on Systems of Geometric Objects. PhD thesis, Universiteit van Amsterdam, 2009. E. J. van Leeuwen. Optimization and Approximation on Systems of Geometric Objects. PhD thesis, Universiteit van Amsterdam, 2009.
60.
Zurück zum Zitat W. Wang, V. Srinivasan, and K.-C. Chua. Trade-offs between mobility and density for coverage in wireless sensor networks. In Proceedings of the 13th annual ACM international conference on Mobile computing and networking (MobiCom), pages 39–50, ACM, New York, 2007. W. Wang, V. Srinivasan, and K.-C. Chua. Trade-offs between mobility and density for coverage in wireless sensor networks. In Proceedings of the 13th annual ACM international conference on Mobile computing and networking (MobiCom), pages 39–50, ACM, New York, 2007.
61.
Zurück zum Zitat P.-J. Wan and C.-W. Yi. Asymptotic critical transmission radius and critical neighbor number for -connectivity in wireless ad hoc networks. In J. Murai, C. E. Perkins, and L. Tassiulas, editors, Proceedings of the 5th ACM Interational Symposium on Mobile Ad Hoc Networking and Computing, pages 1–8. ACM, New York, NY, 2004.CrossRef P.-J. Wan and C.-W. Yi. Asymptotic critical transmission radius and critical neighbor number for -connectivity in wireless ad hoc networks. In J. Murai, C. E. Perkins, and L. Tassiulas, editors, Proceedings of the 5th ACM Interational Symposium on Mobile Ad Hoc Networking and Computing, pages 1–8. ACM, New York, NY, 2004.CrossRef
62.
Zurück zum Zitat P.-J. Wan and C.-W. Yi. Coverage by randomly deployed wireless sensor networks. IEEE Transaction on Information Theory, 52(6):2658–2669, 2006.CrossRefMathSciNet P.-J. Wan and C.-W. Yi. Coverage by randomly deployed wireless sensor networks. IEEE Transaction on Information Theory, 52(6):2658–2669, 2006.CrossRefMathSciNet
63.
Zurück zum Zitat X.Wang, G. Xing, Y. Zhang, C. Lu, R. Pless, and C. Gill. Integrated coverage and connectivity configuration in wireless sensor networks. In Proceedings of ACM SenSys, pages 28–39, 2003. X.Wang, G. Xing, Y. Zhang, C. Lu, R. Pless, and C. Gill. Integrated coverage and connectivity configuration in wireless sensor networks. In Proceedings of ACM SenSys, pages 28–39, 2003.
64.
Zurück zum Zitat J. Yoon, M. Liu, and B. Noble. Random waypoint considered harmful. In Proceeding of he 21st Annual Joint Conference of the IEEE Computer and Communications Societies (INFOCOM), IEEE Computer Society, Los Alamitos, CA, 2003. J. Yoon, M. Liu, and B. Noble. Random waypoint considered harmful. In Proceeding of he 21st Annual Joint Conference of the IEEE Computer and Communications Societies (INFOCOM), IEEE Computer Society, Los Alamitos, CA, 2003.
65.
Zurück zum Zitat J. Yoon, M. Liu, and B. Noble. Sound mobility models. In D. B. Johnson, A. D. Joseph, and N. H. Vaidya, editors, Proceedings of the Ninth Annual International Conference on Mobile Computing and Networking (MOBICOM), pages 205–216. ACM, New York, NY, 2003. J. Yoon, M. Liu, and B. Noble. Sound mobility models. In D. B. Johnson, A. D. Joseph, and N. H. Vaidya, editors, Proceedings of the Ninth Annual International Conference on Mobile Computing and Networking (MOBICOM), pages 205–216. ACM, New York, NY, 2003.
66.
Zurück zum Zitat J. Yick, B. Mukherjee, and D. Ghosal. Wireless sensor network survey. Computer Networks, 52:2292–2330, 2008.CrossRef J. Yick, B. Mukherjee, and D. Ghosal. Wireless sensor network survey. Computer Networks, 52:2292–2330, 2008.CrossRef
67.
Zurück zum Zitat F. Zhao and L. Guibas, editors. Distributed Environmental Monitoring Using Random Sensor Networks, vol. 2634, Lecture Notes in Computer Science. Springer, 2003. F. Zhao and L. Guibas, editors. Distributed Environmental Monitoring Using Random Sensor Networks, vol. 2634, Lecture Notes in Computer Science. Springer, 2003.
68.
Zurück zum Zitat H. Zang and J. Hou. On deriving the upper bound of alpha-lifetime for large sensor networks. In J. Murai, C. E. Perkins, and L. Tassiulas, editors, Proceedings of the 5th ACM Interational Symposium on Mobile Ad Hoc Networking and Computing, pages 16–24. ACM, New York, NY, 2004. H. Zang and J. Hou. On deriving the upper bound of alpha-lifetime for large sensor networks. In J. Murai, C. E. Perkins, and L. Tassiulas, editors, Proceedings of the 5th ACM Interational Symposium on Mobile Ad Hoc Networking and Computing, pages 16–24. ACM, New York, NY, 2004.
69.
Zurück zum Zitat Z. Zhang. Routing in intermittently connected mobile ad hoc networks and delay tolerant networks: Overview and challenges. IEEE Communications Surveys and Tutorials, 8(1-4):24–37, 2006.CrossRef Z. Zhang. Routing in intermittently connected mobile ad hoc networks and delay tolerant networks: Overview and challenges. IEEE Communications Surveys and Tutorials, 8(1-4):24–37, 2006.CrossRef
Metadaten
Titel
Theoretical Aspects of Graph Models for MANETs
verfasst von
Josep Díaz
Dieter Mitsche
Paolo Santi
Copyright-Jahr
2011
Verlag
Springer Berlin Heidelberg
DOI
https://doi.org/10.1007/978-3-642-14849-1_6

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