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        <identifier>oai:figshare.com:article/33941746</identifier>
        <datestamp>2026-09-19T07:41:17Z</datestamp>
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          <dc:title>Computational Supplement for “A Nine-Element Minor Theorem for 3-Connected Nonbinary Matroids with a W4-Minor”</dc:title>
          <dc:creator>toshiro tabuchi (24848569)</dc:creator>
          <dc:subject>Combinatorics and discrete mathematics (excl. physical combinatorics)</dc:subject>
          <dc:subject>Matroid theory</dc:subject>
          <dc:subject>3-connected matroids</dc:subject>
          <dc:subject>nonbinary matroids</dc:subject>
          <dc:subject>W4-minor</dc:subject>
          <dc:subject>wheel minor</dc:subject>
          <dc:subject>computational proof</dc:subject>
          <dc:subject>verification certificates</dc:subject>
          <dc:subject>rank tables</dc:subject>
          <dc:subject>modular cuts</dc:subject>
          <dc:description>&lt;p dir="ltr"&gt;This dataset contains the computational supplementary material supporting the preprint &lt;b&gt;“A Nine-Element Minor Theorem for 3-Connected Nonbinary Matroids with a W4-Minor.”&lt;/b&gt;&lt;/p&gt;&lt;p dir="ltr"&gt;The files include computational certificates, verification bundles, rank data, intermediate outputs, and other auxiliary files used in the finite computational parts of the proof.&lt;/p&gt;&lt;p dir="ltr"&gt;They are provided to document the computational workflow and to facilitate independent inspection and reproduction of the corresponding verification steps.&lt;/p&gt;&lt;p dir="ltr"&gt;The main manuscript is available separately on Figshare:&lt;br&gt;&lt;a href="https://doi.org/10.6084/m9.figshare.33689407" target="_new" rel="noopener"&gt;&lt;b&gt;https://doi.org/10.6084/m9.figshare.33689407&lt;/b&gt;&lt;/a&gt;&lt;/p&gt;&lt;p dir="ltr"&gt;The supplement should be read together with the manuscript, which explains the mathematical role of the computational checks and the structural reductions to which they apply.&lt;/p&gt;</dc:description>
          <dc:date>2026-09-19T07:41:17Z</dc:date>
          <dc:type>Dataset</dc:type>
          <dc:type>Dataset</dc:type>
          <dc:identifier>10.6084/m9.figshare.33941746.v1</dc:identifier>
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          <dc:rights>CC BY 4.0</dc:rights>
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