http://openproblemgarden.org/op/characterizing_aleph_0_aleph_1_graphs Comments for "Characterizing (aleph_0,aleph_1)-graphs" en http://openproblemgarden.org/op/characterizing_aleph_0_aleph_1_graphs#comment-7088 <p>Please be more specific: who claims it a where? If I googled the right Scott Streit, he doesn't seem to be the kind of person interested in this kind of problems. </p> <p>Best wishes, Robert</p> Thu, 24 Nov 2011 16:39:35 +0100 Robert Samal comment 7088 at http://openproblemgarden.org http://openproblemgarden.org/op/characterizing_aleph_0_aleph_1_graphs#comment-7074 <p>Has his solution ever been viewed/reviewed? He claims to have solved it with his students</p> Mon, 21 Nov 2011 01:28:33 +0100 Anonymous comment 7074 at http://openproblemgarden.org http://openproblemgarden.org/op/characterizing_aleph_0_aleph_1_graphs <table cellspacing="10"> <tr> <td> Author(s): <a href="/category/diestel_reinhard">Diestel</a>; <a href="/category/leader">Leader</a>&nbsp;&nbsp; </td> <td align=right> Subject: <a href="/category/graph_theory">Graph Theory</a> » <a href="/category/infinite_graphs">Infinite Graphs</a>&nbsp;&nbsp; </td> </tr> <tr> <td colspan=2> <table border=1 cellspacing="5"> <tr><td> <p>Call a graph an <img class="teximage" src="/files/tex/4170402299493c216234845dcc59a455da96e488.png" alt="$ (\aleph_0,\aleph_1) $" />-<em>graph</em> if it has a bipartition <img class="teximage" src="/files/tex/e0150654d2f6aa6b2ea50e726af4747878a605fc.png" alt="$ (A,B) $" /> so that every vertex in <img class="teximage" src="/files/tex/7a8d9782350e8eb5a84c149576d83160492cbdd3.png" alt="$ A $" /> has degree <img class="teximage" src="/files/tex/ae61eb32cc3c2cd0fc395f5f137af2ecebcc6f92.png" alt="$ \aleph_0 $" /> and every vertex in <img class="teximage" src="/files/tex/4369e4eb2b0938fb27436a8c4f4a062f83d4d49e.png" alt="$ B $" /> has degree <img class="teximage" src="/files/tex/ad5e05aff060f8c4118554ec23fc051e0cfbfd7f.png" alt="$ \aleph_1 $" />. </p> <div class="envtheorem"><b>Problem</b>&nbsp;&nbsp; Characterize the <img class="teximage" src="/files/tex/4170402299493c216234845dcc59a455da96e488.png" alt="$ (\aleph_0,\aleph_1) $" />-graphs. </div> </tr></td> </table> </td> </tr> </table> Diestel, Reinhard Leader, Imre binary tree infinite graph normal spanning tree set theory Graph Theory Infinite Graphs http://openproblemgarden.org/op/characterizing_aleph_0_aleph_1_graphs#comment Thu, 26 Jun 2008 15:07:31 +0200 mdevos 1750 at http://openproblemgarden.org