Tuan Tran, Minimum saturated families of sets
Room B232 IBS (기초과학연구원)A family
10 events found.
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 index of any linear hypergraph on
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 conditions on the list of preferences (like continuity) there is always a partition and assignment of parts to the players, in which every player gets …
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 restriction problem for cones and address new results on the conical restriction problems. In particular, we establish the restriction conjecture for the cone in four …
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 a longstanding problem of Erdos. Our proof together with the matched lower bound construction of Boros, Caro, Furedi and Yuster show that this problem can …
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 is usually straightforward and/or complexity-theoretically inessential (up to polynomial time, say). But concerning continuous data, already real numbers naturally suggest various encodings with very different computational properties. …
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
Minki Kim (김민기), Rainbow paths and rainbow matchings
Room B232 IBS (기초과학연구원)We prove that if
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 cycles. Such a duality does not hold if we restrict to odd cycles. However, in 1999, Reed proved an analogue for odd cycles by relaxing packing …
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