Title
Normality of cut polytopes of graphs is a minor closed property
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.
Year
DOI
Venue
2010
10.1016/j.disc.2009.11.012
Discrete Mathematics
Keywords
Field
DocType
cut polytope,normal polytope
Cut,Normality,Discrete mathematics,Combinatorics,Normal polytope,K-tree,Minimum cut,Polytope,Conjecture,Mathematics,Maximum cut
Journal
Volume
Issue
ISSN
310
6-7
Discrete Mathematics
Citations 
PageRank 
References 
6
0.75
3
Authors
1
Name
Order
Citations
PageRank
Hidefumi Ohsugi12710.42