Cheolwon Heo (허철원), Representations of even-cycle matroids
Room B232 IBS (기초과학연구원)A signed graph is a pair $(G,\Sigma)$ where $G$ is a graph and $\Sigma$ is a subset of edges of $G$. A cycle $C$ of $G$ is a subset of …
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Seminars and Colloquiums
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Dabeen Lee (이다빈), Mixing sets, submodularity, and chance-constrained optimization
Room B232 IBS (기초과학연구원)A particularly important substructure in modeling joint linear chance-constrained programs with random right-hand sides and finite sample space is the intersection of mixing sets with common binary variables (and possibly …
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Kevin Hendrey, Extremal functions for sparse minors
Room B232 IBS (기초과학연구원)The extremal function $c(H)$ of a graph $H$ is the supremum of densities of graphs not containing $H$ as a minor, where the density of a graph is the ratio …
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Péter Pál Pach, The Alon-Jaeger-Tarsi conjecture via group ring identities
Zoom ID: 869 4632 6610 (ibsdimag)The Alon-Jaeger-Tarsi conjecture states that for any finite field $\mathbb{F}$ of size at least 4 and any nonsingular matrix $M$ over $\mathbb{F}$ there exists a vector $x$ such that neither …
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Eunjin Oh (오은진), Feedback Vertex Set on Geometric Intersection Graphs
Room B232 IBS (기초과학연구원)I am going to present an algorithm for computing a feedback vertex set of a unit disk graph of size k, if it exists, which runs in time $2^{O(\sqrt{k})}(n + …
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Paul Seymour, Polynomial bounds for chromatic number
Zoom ID: 869 4632 6610 (ibsdimag)The Gyárfás-Sumner conjecture says that for every forest $H$, there is a function $f$ such that the chromatic number $\chi(G)$ is at most $f(\omega(G))$ for every $H$-free graph $G$ ("$H$-free" means with …
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Joonkyung Lee (이준경), Majority dynamics on sparse random graphs
Room B232 IBS (기초과학연구원)Majority dynamics on a graph $G$ is a deterministic process such that every vertex updates its $\pm 1$-assignment according to the majority assignment on its neighbor simultaneously at each step. …
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Donggyu Kim (김동규), 𝝘-graphic delta-matroids and their applications
Room B232 IBS (기초과학연구원)Bouchet (1987) defined delta-matroids by relaxing the base exchange axiom of matroids. Oum (2009) introduced a graphic delta-matroid from a pair of a graph and its vertex subset. We define …
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Ben Lund, Maximal 3-wise intersecting families
Room B232 IBS (기초과학연구원)A family $\mathcal F$ of subsets of {1,2,…,n} is called maximal k-wise intersecting if every collection of at most k members from $\mathcal F$ has a common element, and moreover, …
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Martin Milanič, Tree Decompositions with Bounded Independence Number
Zoom ID: 869 4632 6610 (ibsdimag)The independence number of a tree decomposition $\mathcal{T}$ of a graph is the smallest integer $k$ such that each bag of $\mathcal{T}$ induces a subgraph with independence number at most …