Sparse Graphs Coalition

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sessions:2021sessions:2021session5 [2021/09/13 08:39] – ross.kangsessions:2021sessions:2021session5 [2022/03/18 10:02] (current) – [Research results] ross.kang
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 There are a variety of questions to be investigated: **coloring, covering, decomposing or hitting problems**; questions about VC-dimension, epsilon-nets, and realizabilities; as well as **structural properties** like sparsity, or product structures. Hence we seek to gather experts together with mid-career and younger researchers from generally similar but specifically different backgrounds in combinatorial geometry.  There are a variety of questions to be investigated: **coloring, covering, decomposing or hitting problems**; questions about VC-dimension, epsilon-nets, and realizabilities; as well as **structural properties** like sparsity, or product structures. Hence we seek to gather experts together with mid-career and younger researchers from generally similar but specifically different backgrounds in combinatorial geometry. 
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 +==== Organisers ====
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 +[[https://i11www.iti.kit.edu/en/members/torsten_ueckerdt/index|Torsten Ueckerdt]] and [[https://sites.google.com/view/yuditsky/home|Lena Yuditsky]]
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 ==== Workshop dates ==== ==== Workshop dates ====
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 We give a sketch of the proof that the maximum chromatic number of a circle graph with clique number at most $\omega$ is equal to $\Theta ( \omega \log \omega)$. We give a sketch of the proof that the maximum chromatic number of a circle graph with clique number at most $\omega$ is equal to $\Theta ( \omega \log \omega)$.
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 +==== Research results ====
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 +  * Davies, Keller, Kleist, Smorodinsky, Walczak. A solution to Ringel’s circle problem. https://arxiv.org/abs/2112.05042
 +  * Hickingbotham, Jungeblut, Merker, Wood. The product structure of squaregraphs. https://arxiv.org/abs/2203.03772
 +  * Dvorák, Daniel Gonçalves, Lahiri, Tan, Torsten Ueckerdt. On Comparable Box Dimension. https://arxiv.org/abs/2203.07686
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sessions/2021sessions/2021session5.1631522389.txt.gz · Last modified: 2021/09/13 08:39 by ross.kang