Titlebook: Recent Trends in Combinatorics; Andrew Beveridge,Jerrold R. Griggs,Prasad Tetali Book 2016 Springer International Publishing Switzerland 2

Infinitesimal

A survey of Turán problems for expansions vertices not containing any copy of the .-uniform hypergraph .. Many problems in extremal set theory ask for the determination of ex.(.,?..) for various graphs .. We survey these Turán-type problems, focusing on recent developments.

招惹

Lectures on approximate groups and Hilbert’s 5th problemert’s 5th problem about the structure of locally compact groups and explain its relevance to approximate groups. We also present several applications in particular to uniform diameter bounds for finite groups and to the determination of scaling limits of vertex transitive graphs with large diameter.

Agronomy

Problems related to graph indices in treesrtices, vertex degrees, or on counting vertex or edge subsets of different kinds. Some of the indices arise naturally in applications, e.g., in chemistry, statistical physics, bioinformatics, and other fields, and connections are also made to other branches of graph theory, such as spectral graph th