The allocation of entropy forms a convex cone was proved mathematically but there the lack of such finding in graph. The following blog shows that the allocation of entropy really forms a convex cone, please see the result in this <a href="http://blog.ektel.com.np/2011/11/allocation-of-entropies-for-tri-partite... of entropy</a> really forms a convex cone, please see the result in this <a href="http://blog.ektel.com.np/2011/11/allocation-of-entropies-for-tri-partite...