Rob Morris, An exponential improvement for diagonal Ramsey
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 …
10 events found.
Events
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Room B332 IBS (기초과학연구원)
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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 …
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Suyun Jiang (江素云), How connectivity affects the extremal number of trees
Room B332 IBS (기초과학연구원)The Erdős-Sós conjecture states that the maximum number of edges in an $n$-vertex graph without a given $k$-vertex tree is at most $\frac {n(k-2)}{2}$. Despite significant interest, the conjecture remains …
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Minho Cho (조민호), Strong Erdős-Hajnal property on chordal graphs and its variants
Room B332 IBS (기초과학연구원)A graph class $\mathcal{G}$ has the strong Erdős-Hajnal property (SEH-property) if there is a constant $c=c(\mathcal{G}) > 0$ such that for every member $G$ of $\mathcal{G}$, either $G$ or its …
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Guanghui Wang (王光辉), Embeddings in uniformly dense hypergraphs
Room B332 IBS (기초과학연구원)An archetype problem in extremal combinatorics is to study the structure of subgraphs appearing in different classes of (hyper)graphs. We will focus on such embedding problems in uniformly dense hypergraphs. …
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Chong Shangguan (上官冲), The hat guessing number of graphs
Room B332 IBS (기초과학연구원)Consider the following hat guessing game: $n$ players are placed on $n$ vertices of a graph, each wearing a hat whose color is arbitrarily chosen from a set of $q$ …
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Tuan Tran, Complexity of null dynamical systems
Room B109 IBS (기초과학연구원)A theoretical dynamical system is a pair (X,T) where X is a compact metric space and T is a self homeomorphism of X. The topological entropy of a theoretical dynamical system …