# Course

## M479 - Random Graphs

Course No:
M479
Credit:
4
Prerequisites:
M206
Approval:
2014
UG-Elective
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:
1. N. Alon, J. H. Spencer, “The Probabilistic Method”, John Wiley & Sons, 2008
2. B. Bollob'as, “Random Graphs”, Cambridge Studies in Advanced Mathematics 73, Cambridge University Press, 2001.
3. S. Janson, T. Luczak, A. Rucinski, “Random Graphs”, Wiley-Interscience, 2000.
4. R. Durrett, “Random Graph Dynamics”, Cambridge University Press, 2010.
5. J. H. Spencer, “The Strange Logic of Random Graphs”, Springer-Verlag, 2001.