Jinyoung Park (박진영), Thresholds 1/2

Room B332 IBS (기초과학연구원)

Thresholds for increasing properties of random structures are a central concern in probabilistic combinatorics and related areas. In 2006, Kahn and Kalai conjectured that for any nontrivial increasing property on

Jinyoung Park (박진영), Thresholds 2/2

Room B332 IBS (기초과학연구원)

Thresholds for increasing properties of random structures are a central concern in probabilistic combinatorics and related areas. In 2006, Kahn and Kalai conjectured that for any nontrivial increasing property on

Eun Jung Kim (김은정), Directed flow-augmentation

Room B332 IBS (기초과학연구원)

We show a flow-augmentation algorithm in directed graphs: There exists a polynomial-time algorithm that, given a directed graph G, two integers $s,t\in V(G)$, and an integer $k$, adds (randomly) to

Raul Lopes, Temporal Menger and related problems

Room B332 IBS (기초과학연구원)

A temporal graph is a graph whose edges are available only at specific times. In this scenario, the only valid walks are the ones traversing adjacent edges respecting their availability,

Bjarne Schülke, A local version of Katona’s intersection theorem

Room B332 IBS (기초과학연구원)

Katona's intersection theorem states that every intersecting family $\mathcal F\subseteq^{(k)}$ satisfies $\vert\partial\mathcal F\vert\geq\vert\mathcal F\vert$, where $\partial\mathcal F=\{F\setminus x:x\in F\in\mathcal F\}$ is the shadow of $\mathcal F$. Frankl conjectured that for

Sebastian Wiederrecht, Killing a vortex

Room B332 IBS (기초과학연구원)

The Structural Theorem of the Graph Minors series of Robertson and Seymour asserts that, for every $t\in\mathbb{N},$ there exists some constant $c_{t}$ such that every $K_{t}$-minor-free graph admits a tree

Alexander Clifton, Ramsey Theory for Diffsequences

Room B332 IBS (기초과학연구원)

Van der Waerden's theorem states that any coloring of $\mathbb{N}$ with a finite number of colors will contain arbitrarily long monochromatic arithmetic progressions. This motivates the definition of the van

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