Hyunwoo Lee (이현우), Random matchings in linear hypergraphs
Room B332 IBS (기초과학연구원)For a given hypergraph
For a given hypergraph
For a family F of graphs, the F-Deletion Problem asks to remove the minimum number of vertices from a given graph G to ensure that G belongs to F. One …
Depth and width parameters of graphs, e.g., tree-width, path-width and tree-depth, play a crucial role in algorithmic and structural graph theory. These notions are of fundamental importance in the theory …
For the past few years, I've been working on formalizing proofs in matroid theory using the Lean proof assistant. This has led me to many interesting and unexpected places. I'll …
Every (finite) matroid consists of a (finite) set called the ground set, and a collection of distinguished subsets called the independent sets. A classic example arises when the ground set …
In 1980, Burr conjectured that every directed graph with chromatic number
An edge-colored graph
We prove the following variant of Helly’s classical theorem for Hamming balls with a bounded radius. For
We say that a 0-1 matrix A contains another such matrix (pattern) P if P can be obtained from a submatrix of A by possibly changing a few 1 entries …
Rödl and Ruciński established Ramsey's theorem for random graphs. In particular, for fixed integers