James Davies, Two structural results for pivot-minors
Pivot-minors can be thought of as a dense analogue of graph minors. We shall discuss pivot-minors and two recent results for proper pivot-minor-closed classes of graphs. In particular, that for …
10 events found.
Events
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Room B332 IBS (기초과학연구원)
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MATRIX-IBS Workshop: Structural Graph Theory Downunder III
MATRIX, AustraliaWebsite: https://www.matrix-inst.org.au/events/structural-graph-theory-downunder-iii/ Program Description: This program, jointly organised by MATRIX and the Discrete Mathematics Group of the Korean Institute for Basic Science (IBS), builds on the “Structural Graph Theory Downunder” …
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Shin-ichiro Seki, On the extension of the Green-Tao theorem to number fields
Zoom ID: 897 6822 0619 (ibsecopro) [04/19 only]In 2006, Tao established the Gaussian counterpart of the celebrated Green-Tao theorem on arithmetic progressions of primes. In this talk, I will explain the extension of Tao's theorem and the …
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Hyunwoo Lee (이현우), On perfect subdivision tilings
Room B332 IBS (기초과학연구원)For a given graph $H$, we say that a graph $G$ has a perfect $H$-subdivision tiling if $G$ contains a collection of vertex-disjoint subdivisions of $H$ covering all vertices of …
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Rob Morris, Ramsey theory: searching for order in chaos
Room 1501, Bldg. E6-1, KAISTIn many different areas of mathematics (such as number theory, discrete geometry, and combinatorics), one is often presented with a large "unstructured" object, and asked to find a smaller "structured" …
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Rob Morris, An exponential improvement for diagonal Ramsey
Room B332 IBS (기초과학연구원)The Ramsey number $R(k)$ is the minimum n such that every red-blue colouring of the edges of the complete graph on n vertices contains a monochromatic copy of $K_k$. It …
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Jozef Skokan, Separating the edges of a graph by a linear number of paths
Room B332 IBS (기초과학연구원)Recently, Letzter proved that any graph of order n contains a collection P of $O(n \log^*n)$ paths with the following property: for all distinct edges e and f there exists …
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Maria Chudnovsky, Induced subgraphs and tree decompositions
Room 1501, Bldg. E6-1, KAISTTree decompositions are a powerful tool in both structural graph theory and graph algorithms. Many hard problems become tractable if the input graph is known to have a tree decomposition …
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Oliver Janzer, Small subgraphs with large average degree
Room B332 IBS (기초과학연구원)We study the fundamental problem of finding small dense subgraphs in a given graph. For a real number $s>2$, we prove that every graph on $n$ vertices with average degree …
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Szymon Toruńczyk, Flip-width: Cops and Robber on dense graphs
Zoom ID: 869 4632 6610 (ibsdimag)We define new graph parameters, called flip-width, that generalize treewidth, degeneracy, and generalized coloring numbers for sparse graphs, and clique-width and twin-width for dense graphs. The flip-width parameters are defined …