public void Delete( 
   Description description
)

// Deleting a FeatureDataset named as 'Parcel_Information'

FeatureDatasetDefinition featureDatasetDefinition = geodatabase.GetDefinition<FeatureDatasetDefinition>("Parcel_Information");
FeatureDatasetDescription featureDatasetDescription = new FeatureDatasetDescription(featureDatasetDefinition);
      
SchemaBuilder schemaBuilder = new SchemaBuilder(geodatabase);

// Delete an existing feature dataset named as 'Parcel_Information'
schemaBuilder.Delete(featureDatasetDescription);
schemaBuilder.Build();

// Create a FileGeodatabaseConnectionPath with the name of the file geodatabase you wish to delete
FileGeodatabaseConnectionPath fileGeodatabaseConnectionPath = new FileGeodatabaseConnectionPath(new Uri(@"C:\Path-To-File-Geodatabase\YourName.gdb"));

// Delete the file geodatabase
SchemaBuilder.DeleteGeodatabase(fileGeodatabaseConnectionPath);