Open Symposium at the Discrete Mathematics Group

Room B109 IBS (기초과학연구원)

Program 9:40-10:05: Sang-il OUM, Obstructions for dense analogs of tree-depth 10:05-10:20: Kevin HENDREY, Structural and extremal results for twin-width 10:20-10:35: Rutger CAMPBELL, Down-sets in combinatorial posets 10:35-10:50: Linda COOK, Reuniting 𝜒-boundedness with polynomial 𝜒-boundedness

Andrzej Grzesik, Rainbow Turán problems

Room S221 IBS (기초과학연구원) Science Culture Center

In a rainbow variant of the Turán problem, we consider $k$ graphs on the same set of vertices and want to determine the smallest possible number of edges in each graph, which guarantees the existence of a copy of a given graph $F$ containing at most one edge from each graph. In other words, we

Dong Yeap Kang (강동엽), Hamilton cycles and optimal matchings in a random subgraph of uniform Dirac hypergraphs

Room B332 IBS (기초과학연구원)

A loose cycle is a cyclic ordering of edges such that every two consecutive edges share exactly one vertex. A cycle is Hamilton if it spans all vertices. A codegree of a $k$-uniform hypergraph is the minimum nonnegative integer $t$ such that every subset of vertices of size $k-1$ is contained in $t$ distinct edges.

Daniel Kráľ, High chromatic common graphs

Room B332 IBS (기초과학연구원)

Ramsey's Theorem guarantees for every graph H that any 2-edge-coloring of a sufficiently large complete graph contains a monochromatic copy of H. As probabilistic constructions often provide good bounds on quantities in extremal combinatorics, we say that a graph H is common if the random 2-edge-coloring asymptotically minimizes the number of monochromatic copies of H.

2023 Mini-Workshop on Discrete Geometry

Room B332 IBS (기초과학연구원)

2023 Mini-Workshop on Discrete Geometry will be held on August 9th at Room B332, Institute for Basic Science (IBS), Daejeon, Republic of Korea. The workshop consists of three presentations on recent results and an open problem session. Researchers who are highly interested in this field are welcome to attend. Tentative schedule 10:00-10:50 Michael Dobbins (SUNY

R. Amzi Jeffs, Intersection patterns of convex sets

Room B332 IBS (기초과학연구원)

How can one arrange a collection of convex sets in d-dimensional Euclidean space? This guiding question is fundamental in discrete geometry, and can be made concrete in a variety of ways, for example the study of hyperplane arrangements, embeddability of simplicial complexes, Helly-type theorems, and more. This talk will focus on the classical topic of d-representable

Linda Cook, Orientations of $P_4$ bind the dichromatic number

Room B332 IBS (기초과학연구원)

An oriented graph is a digraph that does not contain a directed cycle of length two. An (oriented) graph $D$ is $H$-free if $D$ does not contain $H$ as an induced sub(di)graph. The Gyárfás-Sumner conjecture is a widely-open conjecture on simple graphs, which states that for any forest $F$, there is some function $f$ such

Dabeen Lee (이다빈), From coordinate subspaces over finite fields to ideal multipartite uniform clutters

Room B332 IBS (기초과학연구원)

Take a prime power $q$, an integer $n\geq 2$, and a coordinate subspace $S\subseteq GF(q)^n$ over the Galois field $GF(q)$. One can associate with $S$ an $n$-partite $n$-uniform clutter $\mathcal{C}$, where every part has size $q$ and there is a bijection between the vectors in $S$ and the members of $\mathcal{C}$. In this paper, we

Sebastian Wiederrecht, Delineating half-integrality of the Erdős-Pósa property for minors

Room B332 IBS (기초과학연구원)

In 1986, Robertson and Seymour proved a generalization of the seminal result of Erdős and Pósa on the duality of packing and covering cycles: A graph has the Erdős-Pósa property for minor if and only if it is planar. In particular, for every non-planar graph $H$ they gave examples showing that the Erdős-Pósa property does

Seog-Jin Kim (김석진), The square of every subcubic planar graph of girth at least 6 is 7-choosable

Room B332 IBS (기초과학연구원)

The square of a graph $G$, denoted $G^2$, has the same vertex set as $G$ and has an edge between two vertices if the distance between them in $G$ is at most $2$. Wegner's conjecture (1977) states that for a planar graph $G$, the chromatic number $\chi(G^2)$ of $G^2$ is at most 7 if $\Delta(G)

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IBS Discrete Mathematics Group (DIMAG)
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55 Expo-ro Yuseong-gu Daejeon 34126 South Korea
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