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

Akash Kumar, Random walks and Forbidden Minors

Zoom ID: 870 0312 9412 (ibsecopro) [CLOSED]

Random walks and spectral methods have had a strong influence on modern graph algorithms as evidenced by the extensive literature on the subject. In this talk, I will present how

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,

Brett Leroux, Expansion of random 0/1 polytopes

Zoom ID: 870 0312 9412 (ibsecopro) [CLOSED]

A conjecture of Milena Mihail and Umesh Vazirani states that the edge expansion of the graph of every $0/1$ polytope is at least one. Any lower bound on the edge expansion gives

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

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