Table of Contents

Ballot Theorems, Old and New.- Statistical Inference on Random Structures.- Proof Techniques for Factor Theorems.- Erd?s-Hajnal-type Results on Intersection Patterns of Geometric Objects.- Old and New Problems and Results in Ramsey Theory.- Forbidden Intersection Patterns in the Families of Subsets (Introducing a Method).- Subsums of a Finite Sum and Extremal Sets of Vertices of the Hypercube.- Combinatorial Conditions for the Rigidity of Tensegrity Frameworks.- Polygonal Graphs.- Infinite Combinatorics: From Finite to Infinite.- The Random Walk Method for Intersecting Families.- Problems and Results on Colorings of Mixed Hypergraphs.- Random Discrete Matrices.