http://openproblemgarden.org/op/woodalls_conjecture Comments for "Woodall's Conjecture" en http://openproblemgarden.org/op/woodalls_conjecture <table cellspacing="10"> <tr> <td> Author(s): <a href="/category/woodall">Woodall</a>&nbsp;&nbsp; </td> <td align=right> Subject: <a href="/category/graph_theory">Graph Theory</a> » <a href="/category/directed_graphs">Directed Graphs</a>&nbsp;&nbsp; </td> </tr> <tr> <td colspan=2> <table border=1 cellspacing="5"> <tr><td> <div class="envtheorem"><b>Conjecture</b>&nbsp;&nbsp; If <img class="teximage" src="/files/tex/b8e7ad0330f925492bf468b5c379baec88cf1b3d.png" alt="$ G $" /> is a directed graph with smallest directed cut of size <img class="teximage" src="/files/tex/c450c3185f7285cfa0b88d3a903c54f7df601201.png" alt="$ k $" />, then <img class="teximage" src="/files/tex/b8e7ad0330f925492bf468b5c379baec88cf1b3d.png" alt="$ G $" /> has <img class="teximage" src="/files/tex/c450c3185f7285cfa0b88d3a903c54f7df601201.png" alt="$ k $" /> disjoint dijoins. </div> </tr></td> </table> </td> </tr> </table> Woodall, Douglas R. digraph packing Graph Theory Directed Graphs http://openproblemgarden.org/op/woodalls_conjecture#comment Thu, 05 Apr 2007 00:25:31 +0200 mdevos 179 at http://openproblemgarden.org