Hyunwoo Lee (이현우), On perfect subdivision tilings
Room B332 IBS (기초과학연구원)For a given graph
For a given graph
In many different areas of mathematics (such as number theory, discrete geometry, and combinatorics), one is often presented with a large "unstructured" object, and asked to find a smaller "structured" …
The Ramsey number
Recently, Letzter proved that any graph of order n contains a collection P of
Tree decompositions are a powerful tool in both structural graph theory and graph algorithms. Many hard problems become tractable if the input graph is known to have a tree decomposition …
We study the fundamental problem of finding small dense subgraphs in a given graph. For a real number
We define new graph parameters, called flip-width, that generalize treewidth, degeneracy, and generalized coloring numbers for sparse graphs, and clique-width and twin-width for dense graphs. The flip-width parameters are defined …
The Erdős-Sós conjecture states that the maximum number of edges in an
A graph class
An archetype problem in extremal combinatorics is to study the structure of subgraphs appearing in different classes of (hyper)graphs. We will focus on such embedding problems in uniformly dense hypergraphs. …