Víctor Dalmau, Right-adjoints of Datalog Programs

Room B332 IBS (기초과학연구원)

We say that two functors Λ and Γ between thin categories of relational structures are adjoint if for all structures A and B, we have that Λ(A) maps homomorphically to B if and only if A maps homomorphically to Γ(B). If this is the case Λ is called the left adjoint to Γ and Γ

Tony Huynh, Aharoni’s rainbow cycle conjecture holds up to an additive constant

Room B332 IBS (기초과학연구원)

In 2017, Aharoni proposed the following generalization of the Caccetta-Häggkvist conjecture for digraphs. If G is a simple n-vertex edge-colored graph with n color classes of size at least r, then G contains a rainbow cycle of length at most ⌈n/r⌉. In this talk, we prove that Aharoni's conjecture holds up to an additive constant.

Niloufar Fuladi, Cross-cap drawings and signed reversal distance

Room B332 IBS (기초과학연구원)

A cross-cap drawing of a graph G is a drawing on the sphere with g distinct points, called cross-caps, such that the drawing is an embedding except at the cross-caps, where edges cross properly. A cross-cap drawing of a graph G with g cross-caps can be used to represent an embedding of G on a

Yongho Shin (신용호), Three-way online correlated selection

Room B332 IBS (기초과학연구원)

Two-way online correlated selection (two-way OCS) is an online algorithm that, at each timestep, takes a pair of elements from the ground set and irrevocably chooses one of the two elements, while ensuring negative correlation in the algorithm's choices. OCS was initially invented by Fahrbach, Huang, Tao, and Zadimoghaddam (FOCS 2020, JACM 2022) to break

Jane Tan, TBA

Room B332 IBS (기초과학연구원)

IBS 이산수학그룹 Discrete Mathematics Group
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