Title of article :
Normality of cut polytopes of graphs is a minor closed property
Author/Authors :
Ohsugi، نويسنده , , Hidefumi، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2010
Abstract :
Sturmfels–Sullivant conjectured that the cut polytope of a graph is normal if and only if the graph has no K 5 minor. In the present paper, it is proved that the normality of cut polytopes of graphs is a minor closed property. By using this result, we have large classes of normal cut polytopes. Moreover, it turns out that, in order to study the conjecture, it is enough to consider 4-connected plane triangulations.
Keywords :
Normal polytope , Cut polytope
Journal title :
Discrete Mathematics
Journal title :
Discrete Mathematics