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Hyunwoo Lee (이현우), On perfect subdivision tilings

Tuesday, April 25, 2023 @ 4:30 PM - 5:30 PM KST

Room B332, IBS (기초과학연구원)


Hyunwoo Lee (이현우)
KAIST & IBS Extremal Combinatorics and Probability Group

For a given graph $H$, we say that a graph $G$ has a perfect $H$-subdivision tiling if $G$ contains a collection of vertex-disjoint subdivisions of $H$ covering all vertices of $G.$ Let $\delta_{sub}(n, H)$ be the smallest integer $k$ such that any $n$-vertex graph $G$ with minimum degree at least $k$ has a perfect $H$-subdivision tiling. For every graph $H$, we asymptotically determined the value of $\delta_{sub}(n, H)$. More precisely, for every graph $H$ with at least one edge, there is a constant $1 < \xi^*(H)\leq 2$ such that $\delta_{sub}(n, H) = \left(1 - \frac{1}{\xi^*(H)} + o(1) \right)n$ if $H$ has a bipartite subdivision with two parts having different parities. Otherwise, the threshold depends on the parity of $n$.


Tuesday, April 25, 2023
4:30 PM - 5:30 PM KST
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Room B332
IBS (기초과학연구원) + Google Map


Sang-il Oum (엄상일)
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IBS 이산수학그룹 Discrete Mathematics Group
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