### Debsoumya Chakraborti, Rainbow matchings in edge-colored simple graphs

Room B232 IBS (기초과학연구원)

There has been much research on finding a large rainbow matching in a properly edge-colored graph, where a proper edge coloring is a coloring of the edge set such that

Livestream

### Joonkyung Lee (이준경), On common graphs

Zoom ID:8628398170 (123450)

A graph $H$ is common if the number of monochromatic copies of $H$ in a 2-edge-colouring of the complete graph $K_n$ is minimised by the random colouring. Burr and Rosta, extending

### Deniz Sarikaya, What means Hamiltonicity for infinite graphs and how to force it via forbidden induced subgraphs

Zoom ID: 934 3222 0374 (ibsdimag)

The study of Hamiltonian graphs, i.e. finite graphs having a cycle that contains all vertices of the graph, is a central theme of finite graph theory. For infinite graphs such

### Hong Liu (刘鸿), A solution to Erdős and Hajnal’s odd cycle problem

Room B232 IBS (기초과학연구원)

I will go over the history on the study of the set of cycle lengths of graphs with large average degree or chromatic number, and discuss recent work with Richard

### Karl Heuer, Even Circuits in Oriented Matroids

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In this talk I will state a generalisation of the even directed cycle problem, which asks whether a given digraph contains a directed cycle of even length, to orientations of

### Jaiung Jun (전재웅), On the Hopf algebra of multi-complexes

Zoom ID: 934 3222 0374 (ibsdimag)

In combinatorics, Hopf algebras appear naturally when studying various classes of combinatorial objects, such as graphs, matroids, posets or symmetric functions. Given such a class of combinatorial objects, basic information

### Jinha Kim (김진하), On a conjecture by Kalai and Meshulam – the Betti number of the independence complex of ternary graphs

Room B232 IBS (기초과학연구원)

Given a graph G=(V,E), the independence complex of G is the abstract simplicial complex I(G) on V whose faces are the independent sets of G. A graph is ternary if it does

### Paul Seymour, The Erdős-Hajnal conjecture is true for excluding a five-cycle

Zoom ID: 934 3222 0374 (ibsdimag)

In an n-vertex graph, there must be a clique or stable set of size at least $C\log n$, and there are graphs where this bound is attained. But if we look at

### O-joung Kwon (권오정), Directed tangles and applications

Room B232 IBS (기초과학연구원)

The canonical tree-decomposition theorem, proved by Robertson and Seymour in their seminal graph minors series, turns out to be an extremely valuable tool in structural and algorithmic graph theory. In

### Andreas Holmsen, Discrete geometry in convexity spaces

Room B232 IBS (기초과학연구원)

The notion of convexity spaces provides a purely combinatorial framework for certain problems in discrete geometry. In the last ten years, we have seen some progress on several open problems

기초과학연구원 수리및계산과학연구단 이산수학그룹
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IBS Discrete Mathematics Group (DIMAG)
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