ILOG CPLEX .NET Reference Manual

Cplex.BranchCallback.IsIntegerFeasible Method 

Returns true if the current node solution is considered to be integer feasible and thus potentially eligible as a new incumbent, but not suitable for branching.

protected virtual bool IsIntegerFeasible();

Return Value

true if the current node solution is integer feasible.

Remarks

Note that in this case, getNbranches returns 0.

See Also

Cplex.BranchCallback Class | ILOG.CPLEX Namespace