Casey Tompkins, Ramsey numbers of Boolean lattices
The poset Ramsey number $R(Q_{m},Q_{n})$ is the smallest integer $N$ such that any blue-red coloring of the elements of the Boolean lattice $Q_{N}$ has a blue induced copy of $Q_{m}$ …
10 events found.
Seminars and Colloquiums
Events
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Room B232 IBS (기초과학연구원)
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Tuukka Korhonen, Fast FPT-Approximation of Branchwidth
Zoom ID: 869 4632 6610 (ibsdimag)Branchwidth determines how graphs, and more generally, arbitrary connectivity (basically symmetric and submodular) functions could be decomposed into a tree-like structure by specific cuts. We develop a general framework for …
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Seonghyuk Im (임성혁), Large clique subdivisions in graphs without small dense subgraphs
Room B232 IBS (기초과학연구원)What is the largest number $f(d)$ where every graph with average degree at least $d$ contains a subdivision of $K_{f(d)}$? Mader asked this question in 1967 and $f(d) = \Theta(\sqrt{d})$ …
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Eun-Kyung Cho (조은경), Independent domination of graphs with bounded maximum degree
Room B232 IBS (기초과학연구원)The independent domination number of a graph $G$, denoted $i(G)$, is the minimum size of an independent dominating set of $G$. In this talk, we prove a series of results regarding …
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David Munhá Correia, Rainbow matchings
Zoom ID: 869 4632 6610 (ibsdimag)I will discuss various results for rainbow matching problems. In particular, I will introduce a ‘sampling trick’ which can be used to obtain short proofs of old results as well …
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Tuan Tran, Exponential decay of intersection volume with applications on list-decodability and sphere-covering bounds
Room B232 IBS (기초과학연구원)We give some natural sufficient conditions for balls in a metric space to have small intersection. Roughly speaking, this happens when the metric space is (i) expanding and (ii) well-spread, …
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Seunghun Lee (이승훈), Transversals and colorings of simplicial spheres
Room B232 IBS (기초과학연구원)Motivated from the surrounding property of a point set in $\mathbb{R}^d$ introduced by Holmsen, Pach and Tverberg, we consider the transversal number and chromatic number of a simplicial sphere. As …
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Andreas Holmsen, Some recent results on geometric transversals
Room B232 IBS (기초과학연구원)A geometric transversal to a family of convex sets in $\mathbb R^d$ is an affine flat that intersects the members of the family. While there exists a far-reaching theory concerning …
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Ron Aharoni, A strong version of the Caccetta-Haggkvist conjecture
Zoom ID: 869 4632 6610 (ibsdimag)The Caccetta-Haggkvist conjecture, one of the best known in graph theory, is that in a digraph with $n$ vertices in which all outdegrees are at least $n/k$ there is a …
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Jaehyeon Seo (서재현), A rainbow Turán problem for color-critical graphs
Room B232 IBS (기초과학연구원)For given $k$ graphs $G_1,\dots, G_k$ over a common vertex set of size $n$, what conditions on $G_i$ ensures a 'colorful' copy of $H$, i.e. a copy of $H$ containing …