Percolation Theory

1. S. R. Broadbent and J. M. Hammersley, "Percolation Processes, I and II," Proc. Cambridge Phil. Society, vol. 53, pp. 629–645, 1957.

2. E. N. Gilbert, "Random Plane Networks," J. SIAM, vol. 9, no. 4, pp. 533–543, December 1961.

3. M. Franceschetti, O. Dousse, D. N. C. Tse, and P. Thiran, "Closing the Gap in the Capacity of Wireless Networks via Percolation Theory," IEEE Trans. on Information Theory, vol. 53, no. 3, pp. 1009-1018, March 2007.

4. I. Glauche, W. Krause, R. Sollacher, and M. Greiner, "Continuum Percolation of Wireless Ad Hoc Communication Networks," to be published in Physica A, 2009.

5. H. Kesten, "Percolation Theory and First Passage Percolation," The Annals of Probability, vol. 15, no. 4, pp. 1231–1271,
   1986.
    

Nearest-neighbors Network Model

1. O. Häggstrom and R. Meester, "Nearest Neighbor and Hard Sphere Models in Continuum Percolation," Random structures and algorithms, vol. 9, no. 3, pp. 295–315, 1996.

2. P. Balister, B. Bollobás, A. Sarkar, and M. Walters, "Connectivity of Random k-Nearest-Neighbor Graphs," Adv. in Applied Probability, vol. 37, pp. 1–24, 2005.

SIR Graph

1. O. Dousse, F. Baccelli, and P. Thiran, "Impact of Interferences on the Connectivity of Ad Hoc Networks," ACM/IEEE Trans. on Networking, vol. 13, no 2, pp. 425–436, 2005.

2. O. Dousse, M. Franceschetti, N. Macris, R. Meester, and P. Thiran, "Percolation in the Signal to Interference Ratio Graph," Journal of Appl. Probability, vol. 43, no 2, pp. 552–562, 2006.

Connectivity

1. C. Bettstetter and C. Hartmann, "Connectivity of Wireless Multihop Networks in a Shadow Fading Environment," ACM/Kluwer Wireless Networks, vol. 11, no. 5,  pp. 571–579, September 2005.

2. R. K. Ganti and M. Haenggi, "Dynamic Connectivity in ALOHA Ad Hoc Networks," submitted to IEEE Journal on Sel. Areas in Commun., Special Issue on Stochastic Geometry and Random Graphs for Wireless Networks, August 2008.

3. D. Miorandi, E. Altman, G. Alfano, "The Impact of Channel Randomness on Coverage and Connectivity of Ad Hoc and Sensor Networks," IEEE Trans. on Wireless Communications, vol. 7, no. 3, pp. 1062-1072, March 2008.

4. P. Gupta and P. R. Kumar, "Critical Power for Asymptotic Connectivity in Wireless Networks," Stochastic Analysis, Control, Optimization and Applications, Eds. W.M. Mc Eneany, G. Yin, and Q. Zhang, Birkhuser, 1998.

5. M. Penrose and A. Pisztora, "Large Deviations for Discrete and Continuous Percolation," Adv. in Applied Probability, vol. 28, pp. 29–52, 1996.

6. M. Penrose, "The Longest Edge of the Random Minimal Spanning Tree," Annals of Applied Probability, vol. 7, pp. 340–
   361, 1997.

Random Connection Model

1. M. Penrose, "On a Continuum Percolation Model," Adv. in Applied Probability, vol. 23, no. 3, pp. 536–556, 1991.