ILOG CPLEX .NET Reference Manual

Cplex.BranchCallback.Prune Method 

Instructs the Cplex branch-and-cut search not to create any child nodes for the current node.

protected virtual void Prune();

Remarks

In short, if this method is called Cplex creates no branches at the current node. It is an error to call methods prune and makeBranch in one invocation of a branch callback.

See Also

Cplex.BranchCallback Class | ILOG.CPLEX Namespace