Shengtong Zhang (张盛桐), Triangle Ramsey numbers of complete graphs

Room B332 IBS (기초과학연구원)

A graph is $H$-Ramsey if every two-coloring of its edges contains a monochromatic copy of $H$. Define the $F$-Ramsey number of $H$, denoted by $r_F(H)$, to be the minimum number of copies of $F$ in a graph which is $H$-Ramsey. This generalizes the Ramsey number and size Ramsey number of a graph. Addressing a question

Shira Zerbib, TBA

Room B332 IBS (기초과학연구원)

Jinyoung Park (박진영), Dedekind’s Problem and beyond

Room B332 IBS (기초과학연구원)

The Dedekind's Problem asks the number of monotone Boolean functions, a(n), on n variables. Equivalently, a(n) is the number of antichains in the n-dimensional Boolean lattice $^n$. While the exact formula for the Dedekind number a(n) is still unknown, its asymptotic formula has been well-studied. Since any subsets of a middle layer of the Boolean

Matthew Kroeker, TBA

Room B332 IBS (기초과학연구원)

Zichao Dong, Convex polytopes in non-elongated point sets in $\mathbb{R}^d$

Room B332 IBS (기초과학연구원)

For any finite point set $P \subset \mathbb{R}^d$, we denote by $\text{diam}(P)$ the ratio of the largest to the smallest distances between pairs of points in $P$. Let $c_{d, \alpha}(n)$ be the largest integer $c$ such that any $n$-point set $P \subset \mathbb{R}^d$ in general position, satisfying $\text{diam}(P) < \alpha\sqrt{n}$ (informally speaking, `non-elongated'), contains a

Ander Lamaison, TBA

Room B332 IBS (기초과학연구원)

Paloma T. Lima, TBA

Room B332 IBS (기초과학연구원)

Vadim V. Lozin, TBA

Room B332 IBS (기초과학연구원)
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