http://openproblemgarden.org/op/average_diameter_of_a_bounded_cell_of_a_simple_arrangement Comments for "Average diameter of a bounded cell of a simple arrangement" en http://openproblemgarden.org/op/average_diameter_of_a_bounded_cell_of_a_simple_arrangement <table cellspacing="10"> <tr> <td> Author(s): <a href="/category/deza_antoine">Deza</a>; <a href="/category/terlaky_tamas">Terlaky</a>; <a href="/category/zinchenko_yuriy">Zinchenko</a>&nbsp;&nbsp; </td> <td align=right> Subject: <a href="/category/geometry">Geometry</a>&nbsp;&nbsp; </td> </tr> <tr> <td colspan=2> <table border=1 cellspacing="5"> <tr><td> <div class="envtheorem"><b>Conjecture</b>&nbsp;&nbsp; The average diameter of a bounded cell of a simple arrangement defined by <img class="teximage" src="/files/tex/ec63d7020a64c039d5f6703b8fa3ab7393358b5b.png" alt="$ n $" /> hyperplanes in dimension <img class="teximage" src="/files/tex/aeba4a4076fc495e8b5df04d874f2911a838883a.png" alt="$ d $" /> is not greater than <img class="teximage" src="/files/tex/aeba4a4076fc495e8b5df04d874f2911a838883a.png" alt="$ d $" />. </div> </tr></td> </table> </td> </tr> </table> Deza, Antoine Terlaky, Tamas Zinchenko, Yuriy arrangement diameter polytope Geometry http://openproblemgarden.org/op/average_diameter_of_a_bounded_cell_of_a_simple_arrangement#comment Sun, 30 Sep 2007 16:51:36 +0200 deza 605 at http://openproblemgarden.org