Tuan Tran, Minimum saturated families of sets
Room B232 IBS (기초과학연구원)A family $\mathcal F$ of subsets of is called s-saturated if it contains no s pairwise disjoint sets, and moreover, no set can be added to $\mathcal F$ while preserving …
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Dong Yeap Kang (강동엽), A proof of the Erdős-Faber-Lovász conjecture
Zoom ID: 869 4632 6610 (ibsdimag)A hypergraph is linear if every pair of two distinct edges shares at most one vertex. A longstanding conjecture by Erdős, Faber, and Lovász in 1972, states that the chromatic …
Ron Aharoni, Colorful KKM and multiple cakes division
Zoom ID: 869 4632 6610 (ibsdimag)In the "cake partition" problem n players have each a list of preferred parts for any partition of the interval ("cake") into n sub-intervals. Woodall, Stromquist and Gale proved independently that under mild …
Doowon Koh (고두원), On the cone restriction conjecture in four dimensions and applications in incidence geometry
Room B232 IBS (기초과학연구원)Main purpose of this talk is to introduce a connection between restriction estimates for cones and point-sphere incidence theorems in the finite field setting. First, we review the finite field …
Jie Ma (马杰), Non-repeated cycle lengths and Sidon sequences
Zoom ID: 869 4632 6610 (ibsdimag)We prove a conjecture of Boros, Caro, Furedi and Yuster on the maximum number of edges in a 2-connected graph without repeated cycle lengths, which is a restricted version of …
Martin Ziegler, Quantitative Coding and Complexity Theory of Continuous Data
Room B232 IBS (기초과학연구원)Specifying a computational problem requires fixing encodings for input and output: encoding graphs as adjacency matrices, characters as integers, integers as bit strings, and vice versa. For such discrete data, the actual encoding …
David Wood, Tree densities of sparse graph classes
Zoom ID: 869 4632 6610 (ibsdimag)This talk considers the following question at the intersection of extremal and structural graph theory: What is the maximum number of copies of a fixed forest $T$ in an $n$-vertex graph in a …
Minki Kim (김민기), Rainbow paths and rainbow matchings
Room B232 IBS (기초과학연구원)We prove that if $n \geq 3$, then any family of $3n-3$ sets of matchings of size $n$ in any graph has a rainbow matching of size $n$. This improves …
Kevin Hendrey, A unified half-integral Erdős-Pósa theorem for cycles in graphs labelled by multiple abelian groups
Room B232 IBS (기초과학연구원)Erdős and Pósa proved in 1965 that there is a duality between the maximum size of a packing of cycles and the minimum size of a vertex set hitting all …
Debsoumya Chakraborti, Some classical problems in graph saturation
Room B232 IBS (기초과학연구원)Graph saturation is one of the oldest areas of investigation in extremal combinatorics. A graph $G$ is called $F$-saturated if $G$ does not contain a subgraph isomorphic to $F$, but …