Random Graphs

Alan Frieze's main research interest is Probabilistic Combinatorics and its applications in Theoretical Computer Science and Operations Research. He is a Professor in the Department of Mathematical Sciences at Carnegie Mellon University, Pennsylvania and has authored more than 300 publications in top journals and was invited to be a plenary speaker at the Seoul ICM 2014. In 1991 he received the Fulkerson prize in discrete mathematics. Michal Karonski is a founder of the Discrete Mathematics Research group at Adam Mickiewicz University in Poznan, Poland. He has authored over 50 publications and currently serves as co-Editor-in-Chief of Random Structures and Algorithms.

Partial table of contents:

Probability Distributions Related to the Local Structure of aRandom Mapping (S. Berg & J. Jaworski).

Maximum Cuts and Quasirandom Graphs (F. Chung & R.Graham).

Inequalities for Random Walks on Trees (L. Devroye & A.Sbihi).

Spanning Trees in Random Graphs (P. Dolan).

Subgraphs of Large Minimal Degree (P. Erdos, et al.).

On Small Subgraphs of Random Graphs (A. Frieze).

When Is a Graphical Sequence Stable?

(M. Jerrum, et al.).

On the Stack Ramification of Binary Trees (R. Kemp).

The Number of Permutations with Cycle Lengths from a Fixed Set (V.Kolchin).

Sparse Random Graphs with a Given Degree Sequence (T.Luczak).

Proving Normality in Combinatorics (A. Rucinski).

Remarks on the Stochastic Traveling Salesman (E. Shamir).