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    <pubDate>Tue, 15 Apr 2008 10:37:27 +0200</pubDate>
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      <title>Enumeration of integral tetrahedra</title>
      <link>http://opus4.kobv.de/opus4-ubbayreuth/frontdoor/index/index/docId/367</link>
      <description>We determine the numbers of integral tetrahedra with diameter d up to isomorphism for all d&lt;=1000 via computer enumeration. Therefore we give an algorithm that enumerates the integral tetrahedra with diameter at most d in O(d^5) time and an algorithm that can check the canonicity of a given integral tetrahedron with at most 6 integer comparisons. For the number of isomorphism classes of integral 4x4 matrices with diameter d fulfilling the triangle inequalities we derive an exact formula.</description>
      <author>Sascha Kurz</author>
      <category>workingpaper</category>
      <guid>http://opus4.kobv.de/opus4-ubbayreuth/frontdoor/index/index/docId/367</guid>
      <pubDate>Tue, 15 Apr 2008 10:37:27 +0200</pubDate>
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