Eight lectures on Random
Graphs:
Talks given at a
joint MAA-AMS meeting in Atlanta, Georgia, January 3/4, 2005.
Lecture 1: Evolution of Gn,m-- Tom Bohman
Lecture 2: Thresholds for some basic properties --Oleg Pikhurkho
Lecture 3: The probabilistic method -- Benny Sudakov
Lecture 4: Small subgraphs -- Andrzej Rucinski
Lecture 5: Random regular graphs -- Nick Wormald
Lecture 6: Independence and chromatic number; dense
case -- Mike Molloy
Lecture 7: Independence and chromatic number;
sparse case -- Dimitris Achlioptas
Power Point version
Lecture 8: Random graph models of the web -- Alan Frieze
Books
B. Bollobas, Random Graphs, Second
Edition, 2001, Cambridge
University Press
S. Janson, T. Luczak and A. Rucinski, Random Graphs, 2000, John
Wiley and Sons
V. Kolchin, Random Graphs, Cambridge
University Press
M. Molloy and B. Reed, Graph
Colouring and the Probabilistic Method, Springer
J. Spencer, 10 Lectures
on the Probabilistic Method, Second Edition, CBMS-NSF
Regional Conference Series in Applied Mathematics 64
N. Alon and J. Spencer, The
Probabilistic Method, Second Edition, John
Wiley and Sons
J. Spencer, The Strange Logic of Random Graphs,
2001, Springer
Journals
Random Structures and Algorithms
Combinatorics, Probability and
Computing