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)

Donggyu Kim (김동규), Orthogonal matroids over tracts

Room B332 IBS (기초과학연구원)

Even delta-matroids generalize matroids, as they are defined by a certain basis exchange axiom weaker than that of matroids. One natural example of even delta-matroids comes from a skew-symmetric matrix over a given field $K$, and we say such an even delta-matroid is representable over the field $K$. Interestingly, a matroid is representable over $K$

Carl R. Yerger, Solving Problems in Graph Pebbling using Optimization and Structural Techniques

Room B332 IBS (기초과학연구원)

Graph pebbling is a combinatorial game played on an undirected graph with an initial configuration of pebbles. A pebbling move consists of removing two pebbles from one vertex and placing one pebbling on an adjacent vertex. The pebbling number of a graph is the smallest number of pebbles necessary such that, given any initial configuration

Domagoj Bradač, Effective bounds for induced size-Ramsey numbers of cycles

Room B332 IBS (기초과학연구원)

The k-color induced size-Ramsey number of a graph H is the smallest number of edges a (host) graph G can have such that for any k-coloring of its edges, there exists a monochromatic copy of H which is an induced subgraph of G. In 1995, in their seminal paper, Haxell, Kohayakawa and Łuczak showed that

2023 Vertex-Minor Workshop

SONO BELLE Jeju

This workshop aims to foster collaborative discussions and explore the various aspects of vertex-minors, including structural theory and their applications. This event will be small-scale, allowing for focused talks and meaningful interactions among participants. Website: https://indico.ibs.re.kr/event/596/

Matija Bucić, Essentially tight bounds for rainbow cycles in proper edge-colourings

Room B332 IBS (기초과학연구원)

An edge-coloured graph is said to be rainbow if it uses no colour more than once. Extremal problems involving rainbow objects have been a focus of much research over the last decade as they capture the essence of a number of interesting problems in a variety of areas. A particularly intensively studied question due to

Robert Hickingbotham, Powers of planar graphs, product structure, and blocking partitions

Room B332 IBS (기초과학연구원)

Graph product structure theory describes complex graphs in terms of products of simpler graphs. In this talk, I will introduce this subject and talk about some of my recent results in this area. The focus of my talk will be on a new tool in graph product structure theory called `blocking partitions.’ I’ll show how

The 3rd East Asia Workshop on Extremal and Structural Graph Theory

The Southern Beach Hotel & Resort Okinawa

The 3rd East Asia Workshop on Extremal and Structural Graph Theory is a workshop to bring active researchers in the field of extremal and structural graph theory, especially in the East Asia such as China, Japan, and Korea. Website: http://tgt.ynu.ac.jp/2023EastAsia.html

IBS 이산수학그룹 Discrete Mathematics Group
기초과학연구원 수리및계산과학연구단 이산수학그룹
대전 유성구 엑스포로 55 (우) 34126
IBS Discrete Mathematics Group (DIMAG)
Institute for Basic Science (IBS)
55 Expo-ro Yuseong-gu Daejeon 34126 South Korea
E-mail: dimag@ibs.re.kr, Fax: +82-42-878-9209
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