Course No
M479
Credit
4
Approval
Syllabus
Models of random graphs and of random graph processes; illustrative examples; random regular graphs, configuration model; appearance of the giant component small subgraphs; long paths and Hamiltonicity; coloring problems; eigenvalues of random graphs and their algorithmic applications; pseudo-random graphs.
Reference Books
- N. Alon, J. H. Spencer, “The Probabilistic Method”, John Wiley & Sons, 2008
- B. Bollob'as, “Random Graphs”, Cambridge Studies in Advanced Mathematics 73, Cambridge University Press, 2001.
- S. Janson, T. Luczak, A. Rucinski, “Random Graphs”, Wiley-Interscience, 2000.
- R. Durrett, “Random Graph Dynamics”, Cambridge University Press, 2010.
- J. H. Spencer, “The Strange Logic of Random Graphs”, Springer-Verlag, 2001.