Github user gallenvara commented on a diff in the pull request:

    https://github.com/apache/flink/pull/1956#discussion_r63856640
  
    --- Diff: 
flink-libraries/flink-gelly/src/main/java/org/apache/flink/graph/library/HITSAlgorithm.java
 ---
    @@ -122,22 +179,45 @@ public void updateVertex(Vertex<K, 
Tuple2<DoubleValue, DoubleValue>> vertex, Mes
                        DoubleValue newAuthorityValue = vertex.getValue().f1;
     
                        if (getSuperstepNumber() > 1) {
    -                           iterationValueSum = Math.sqrt(((DoubleValue) 
getPreviousIterationAggregate("sumVertexValue")).getValue());
    +                           iterationValueSum = Math.sqrt(((DoubleValue) 
getPreviousIterationAggregate("updatedValueSum")).getValue());
                        }
    -                   if (getSuperstepNumber() != maxIteration) {
    +                   if (getSuperstepNumber() < maxIteration) {
                                if (getSuperstepNumber() % 2 == 1) {
    -                                   
newHubValue.setValue(newHubValue.getValue() / iterationValueSum);
    -                                   newAuthorityValue.setValue(updateValue);
    +
    +                                   //in the first iteration, the diff is 
the authority value of each vertex
    +                                   double previousAuthAverage = 1.0;
    +                                   double diffValueSum = 1.0 * 
numberOfVertices;
    +                                   if (getSuperstepNumber() > 1) {
    +                                           previousAuthAverage = 
((DoubleValue) getPreviousIterationAggregate("authorityValueSum")).getValue() / 
numberOfVertices;
    +                                           diffValueSum = ((DoubleValue) 
getPreviousIterationAggregate("diffValueSum")).getValue();
    +                                   }
    +                                   
authoritySumAggregator.aggregate(previousAuthAverage);
    +                                   
    +                                   if (diffValueSum > convergeThreshold) {
    +                                           
newHubValue.setValue(newHubValue.getValue() / iterationValueSum);
    +                                           
newAuthorityValue.setValue(updateValue);
    +                                   } else {
    +
    +                                           //scores are converged and stop 
iteration
    +                                           maxIteration = 
getSuperstepNumber();
    --- End diff --
    
    This line can stop the iteration after last vertex updating(final updating 
of hub normalization). If drop this line, the iteration will go on until 
`getSuperstep == maxIteration` because there are always some vertices can be 
updated.


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