Chong Shangguan (上官冲), The hat guessing number of graphs
Room B332 IBS (기초과학연구원)Consider the following hat guessing game:
Consider the following hat guessing game:
A theoretical dynamical system is a pair (X,T) where X is a compact metric space and T is a self homeomorphism of X. The topological entropy of a theoretical dynamical system (X,T), first introduced in 1965 by Adler, Konheim and McAndrew, is a nonnegative real number that measures the complexity of the system. Systems with positive …
The well-known 1-2-3 Conjecture by Karoński, Łuczak and Thomason states that the edges of any connected graph with at least three vertices can be assigned weights 1, 2 or 3 so that for each edge
Program 9:40-10:05: Sang-il OUM, Obstructions for dense analogs of tree-depth 10:05-10:20: Kevin HENDREY, Structural and extremal results for twin-width 10:20-10:35: Rutger CAMPBELL, Down-sets in combinatorial posets 10:35-10:50: Linda COOK, Reuniting 𝜒-boundedness with polynomial 𝜒-boundedness
In a rainbow variant of the Turán problem, we consider
A loose cycle is a cyclic ordering of edges such that every two consecutive edges share exactly one vertex. A cycle is Hamilton if it spans all vertices. A codegree of a
Ramsey's Theorem guarantees for every graph H that any 2-edge-coloring of a sufficiently large complete graph contains a monochromatic copy of H. As probabilistic constructions often provide good bounds on quantities in extremal combinatorics, we say that a graph H is common if the random 2-edge-coloring asymptotically minimizes the number of monochromatic copies of H. …
2023 Mini-Workshop on Discrete Geometry will be held on August 9th at Room B332, Institute for Basic Science (IBS), Daejeon, Republic of Korea. The workshop consists of three presentations on recent results and an open problem session. Researchers who are highly interested in this field are welcome to attend. Tentative schedule 10:00-10:50 Michael Dobbins (SUNY …
How can one arrange a collection of convex sets in d-dimensional Euclidean space? This guiding question is fundamental in discrete geometry, and can be made concrete in a variety of ways, for example the study of hyperplane arrangements, embeddability of simplicial complexes, Helly-type theorems, and more. This talk will focus on the classical topic of d-representable …
An oriented graph is a digraph that does not contain a directed cycle of length two. An (oriented) graph