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    <title>Yuto Okada</title>
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      <title>Recognizing Treewidth-3 Graphs</title>
      <link>https://yutookada.com/en/blog/treewidth-3/</link>
      <pubDate>Sun, 21 Dec 2025 00:00:00 +0900</pubDate>
      <guid>https://yutookada.com/en/blog/treewidth-3/</guid>
      <description>(English translation of the original article, by Gemini 3 Pro (~90%) + me.)
This article is for the 21st day of Tree Advent Calendar 2025.
Overview For a graph $G$, let $\mathrm{tw}(G)$ denote the treewidth of $G$.
This article introduces a simple algorithm to solve the following decision problem.
Input: A (simple undirected) graph $G = (V, E)$ with $n$ vertices and $m$ edges.
Output: Is $\mathrm{tw}(G) \leq 3$? Expert readers might know these facts:</description>
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      <title>Curriculum Vitae</title>
      <link>https://yutookada.com/en/cv/</link>
      <pubDate>Mon, 01 Jan 0001 00:00:00 +0000</pubDate>
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      <description>Personal Information Name: Yuto Okada Affiliation: Nagoya University E-Mail Address: research [at] yutookada.com [DBLP] [ORCID]
Education April 2024 &amp;ndash; March 2027 (expected) Doctoral Course of Department of Mathematical Informatics, Graduate School of Informatics, Nagoya University Supervisor: Prof. Yota Otachi April 2022 &amp;ndash; March 2024 Master&amp;rsquo;s Course of Department of Mathematical Informatics, Graduate School of Informatics, Nagoya University April 2018 &amp;ndash; March 2022 Department of Natural Informatics, School of Informatics, Nagoya University （April 2020 &amp;ndash;）Division of Mathematical Informatics Occupation April 2026 &amp;ndash; March 2028 JSPS Research Fellow (DC2) 2025 &amp;ndash; Research Assistant at Nagoya University April 2024 &amp;ndash; March 2027 March 2026 Research Fellow at Nagoya University Make New Standards Program for the Next Generation Researchers Awards 2025年6月: Excellent Presentation Award by Research Association of Optimization Theory and Algorithms, Operations Research Society of Japan 2023年1月: Best Student Paper Award of SOFSEM 2023 Other Activities (Sub)Reviewer journals: JGAA conferences: CIAC 2025, IPEC 2025, GD 2025 </description>
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    <item>
      <title>Presentations</title>
      <link>https://yutookada.com/en/presentations/</link>
      <pubDate>Mon, 01 Jan 0001 00:00:00 +0000</pubDate>
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      <description>International Conferences (Refereed) 2025 [PDF] Structural Parameterizations of k-Planarity
Tatsuya Gima, Yasuaki Kobayashi, Yuto Okada.
The 33rd International Symposium on Graph Drawing and Network Visualization (GD 2025).
[PDF] Recognizing 2-Layer and Outer k-Planar Graphs
Yasuaki Kobayashi, Yuto Okada, Alexander Wolff.
The 41st International Symposium on Computational Geometry (SoCG 2025).
2024 [PDF] Bounding the Treewidth of Outer k-Planar Graphs via Triangulations
Oksana Firman, Grzegorz Gutowski, Myroslav Kryven, Yuto Okada, Alexander Wolff.</description>
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      <title>Publications</title>
      <link>https://yutookada.com/en/publications/</link>
      <pubDate>Mon, 01 Jan 0001 00:00:00 +0000</pubDate>
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      <description>Statistics Preprint 📕 × 12 Conference Proceeding 📗 × 8 Journal Paper 📘 × 3 Preprints On Edge-Disjoint Maximal Outerplanar Graphs
Yuto Okada, Yota Otachi, Lena Volk.
📕 arXiv
One-Sided Local Crossing Minimization
Grzegorz Gutowski, Maarten Löffler, Yuto Okada, Alexander Wolff.
📕 arXiv
2-Layer Fan-Planarity in Polynomial Time
Yasuaki Kobayashi, Yuto Okada.
📕 arXiv
Refereed Papers Finding a Maximum Common (Induced) Subgraph: Structural Parameters Revisited
Tesshu Hanaka, Yuto Okada, Yota Otachi, Lena Volk.</description>
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      <title>Tools</title>
      <link>https://yutookada.com/en/tools/</link>
      <pubDate>Mon, 01 Jan 0001 00:00:00 +0000</pubDate>
      <guid>https://yutookada.com/en/tools/</guid>
      <description> Graph Parameter Hierarchy Visualizer Path Decomposition Visualizer </description>
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