Abhishek Methuku, A proof of the Erdős–Faber–Lovász conjecture
The Erdős–Faber–Lovász conjecture (posed in 1972) states that the chromatic index of any linear hypergraph on n vertices is at most n. In this talk, I will sketch a proof …
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Events
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Room B332 IBS (기초과학연구원)
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Benjamin Bergougnoux, Tight Lower Bounds for Problems Parameterized by Rank-width
Zoom ID: 869 4632 6610 (ibsdimag)We show that there is no $2^{o(k^2)} n^{O(1)}$ time algorithm for Independent Set on $n$-vertex graphs with rank-width $k$, unless the Exponential Time Hypothesis (ETH) fails. Our lower bound matches …
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Raphael Steiner, Strengthening Hadwiger’s conjecture for 4- and 5-chromatic graphs
Room B332 IBS (기초과학연구원)Hadwiger's famous coloring conjecture states that every t-chromatic graph contains a $K_t$-minor. Holroyd conjectured the following strengthening of Hadwiger's conjecture: If G is a t-chromatic graph and S⊆V(G) takes all …
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Robert Hickingbotham, Treewidth, Circle Graphs and Circular Drawings
Zoom ID: 869 4632 6610 (ibsdimag)A circle graph is an intersection graph of a set of chords of a circle. In this talk, I will describe the unavoidable induced subgraphs of circle graphs with large …
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Meike Hatzel, Fixed-Parameter Tractability of Directed Multicut with Three Terminal Pairs Parametrised by the Size of the Cutset: Twin-Width Meets Flow-Augmentation
Room B332 IBS (기초과학연구원)We show fixed-parameter tractability of the Directed Multicut problem with three terminal pairs (with a randomized algorithm). This problem, given a directed graph $G$, pairs of vertices (called terminals) $(s_1,t_1)$, …
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Daniel Altman, On an arithmetic Sidorenko conjecture, and a question of Alon
Zoom ID: 224 221 2686 (ibsecopro)Let $G=\mathbb{F}_p^n$. Which systems of linear equations $\Psi$ have the property that amongst all subsets of $G$ of fixed density, random subsets minimise the number of solutions to $\Psi$? This …
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Maya Sankar, The Turán Numbers of Homeomorphs
Room B332 IBS (기초과학연구원)Let $X$ be a 2-dimensional simplicial complex. Denote by $\text{ex}_{\hom}(n,X)$ the maximum number of 2-simplices in an $n$-vertex simplicial complex that has no sub-simplicial complex homeomorphic to $X$. The asymptotics …
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Eunjin Oh (오은진), Parameterized algorithms for the planar disjoint paths problem
Room B332 IBS (기초과학연구원)Given an undirected planar graph $G$ with $n$ vertices and a set $T$ of $k$ pairs $(s_i,t_i)_{i=1}^k$ of vertices, the goal of the planar disjoint paths problem is to find …
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Marcelo Sales, On Pisier type problems
Zoom ID: 224 221 2686 (ibsecopro)A subset $A\subseteq \mathbb Z$ of integers is free if for every two distinct subsets $B, B'\subseteq A$ we have \Pisier asked if for every subset $A\subseteq \mathbb Z$ of …
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Stijn Cambie, Recent progress on the Union-closed conjecture and related
Room B332 IBS (기초과학연구원)We give a summary on the work of the last months related to Frankl's Union-Closed conjecture and its offsprings. The initial conjecture is stated as a theorem in extremal set …