The PDF file you selected should load here if your Web browser has a PDF reader plug-in installed (for example, a recent version of Adobe Acrobat Reader).

Alternatively, you can also download the PDF file directly to your computer, from where it can be opened using a PDF reader. To download the PDF, click the Download link below.

If you would like more information about how to print, save, and work with PDFs, Highwire Press provides a helpful Frequently Asked Questions about PDFs.

Download this PDF file Fullscreen Fullscreen Off

References

  1. Bollobas, B., Riordan, O., Spencer, J. and Tusnady, G. (2001): The degree sequence of a scale-free random graph process, Rand. Struct. Alg. 18, 279-290. Math. Review 2002b:05121
  2. Bollobas, B., Janson, S. and Riordan, O. (2006): The phase transition in inhomogeneous random graphs, Rand. Struct. Alg. 31, 3-122. Math. Review 2008e:05124
  3. Chung, F. and Lu, L. (2002:1): Connected components in random graphs with given degrees sequences, Ann. Comb. 6, 125-145. Math. Review 2003k:05123
  4. Chung, F. and Lu, L. (2002:2): The average distances in random graphs with given expected degrees, Proc. Natl. Acad. Sci. 99, 15879-15882. Math. Review 2003k:05124
  5. Daley, D.J. and Vere-Jones, D. (2002): An introduction to the theory of point processes, 2nd edition, vol. I, Springer. Math. Review 2004c:60001
  6. Deijfen, M. and Jonasson, J. (2006): Stationary random graphs on $\Z$ with prescribed iid degrees and finite mean connections, Electr. Comm. Probab. 11, 336-346. Math. Review 2007j:05194
  7. Deijfen, M. and Meester, R. (2006): Generating stationary random graphs on $\mathbb{Z}$ with prescribed iid degrees, Adv. Appl. Probab. 38, 287-298. Math. Review 2007k:05197
  8. Durrett, R. (2006): Random graph dynamics, Cambridge University Press. Math. Review 2008c:05167
  9. Gale, D. and Shapely, L. (1962): College admissions and stability of marriage, Amer. Math. Monthly 69, 9-15. Math. Review MR1531503
  10. Hoffman, C., Holroyd, A. and Peres, Y. (2006): A stable marriage of Poisson and Lebesgue, Ann. Probab. 34, 1241-1272. Math. Review 2007k:60034
  11. Holroyd, A., Pemantle, R., Peres, Y. and Schramm, O. (2008): Poisson matching, Ann. Inst. Henri Poincare, to appear.
  12. Holroyd, A. and Peres, Y. (2003): Trees and matchings from point processes, Elect. Comm. Probab. 8, 17-27. Math. Review 2004b:60127
  13. Jonasson, J. (2007): Invariant random graphs with iid degrees in a general geology, Probab. Th. Rel. Fields, to appear.
  14. Kallenberg, O. (1997): Foundations of modern probability, Springer. Math. Review 99e:60001
  15. Molloy, M. and Reed, B. (1995): A critical point for random graphs with a given degree sequence, Rand. Struct. Alg. 6, 161-179. Math. Review 97a:05191
  16. Molloy, M. and Reed, B. (1998): The size of the giant component of a random graphs with a given degree sequence, Comb. Probab. Comput. 7, 295-305. Math. Review 2000c:05130
Bookmark and Share


Creative Commons License
This work is licensed under a Creative Commons Attribution 3.0 License.