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 <title>Open Problem Garden - 3-Decomposition Conjecture - Comments</title>
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 <description>Comments for &quot;3-Decomposition Conjecture&quot;</description>
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<item>
 <title>3-Decomposition Conjecture</title>
 <link>http://openproblemgarden.org/op/3_decomposition_conjecture</link>
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    Author(s):
        &lt;a href=&quot;/category/arthur&quot;&gt;Arthur&lt;/a&gt;; &lt;a href=&quot;/category/hoffmann_ostenhof&quot;&gt;Hoffmann-Ostenhof&lt;/a&gt;&amp;nbsp;&amp;nbsp;
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    Subject:
        &lt;a href=&quot;/category/graph_theory&quot;&gt;Graph Theory&lt;/a&gt;&amp;nbsp;&amp;nbsp;
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        &lt;div class=&quot;envtheorem&quot;&gt;&lt;b&gt;Conjecture&lt;/b&gt;&amp;nbsp;&amp;nbsp; (3-Decomposition Conjecture) Every connected cubic graph &lt;img class=&quot;teximage&quot; src=&quot;/files/tex/b8e7ad0330f925492bf468b5c379baec88cf1b3d.png&quot; alt=&quot;$ G $&quot; /&gt; has a decomposition into a spanning tree, a family of cycles and a matching. &lt;/div&gt;

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 <category domain="http://openproblemgarden.org/category/arthur">Arthur</category>
 <category domain="http://openproblemgarden.org/category/hoffmann_ostenhof">Hoffmann-Ostenhof</category>
 <category domain="http://openproblemgarden.org/category/cubic_graph">cubic graph</category>
 <category domain="http://openproblemgarden.org/category/graph_theory">Graph Theory</category>
 <comments>http://openproblemgarden.org/op/3_decomposition_conjecture#comment</comments>
 <pubDate>Tue, 24 Jan 2017 02:39:48 +0100</pubDate>
 <dc:creator>arthur</dc:creator>
 <guid isPermaLink="false">60027 at http://openproblemgarden.org</guid>
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