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An important note here is that adding or removing vertexes is happening in every sync of the peers. This means that during a superstep the additions or deletions will be locally stored and after the end of the superstep will be committed, through messages, to the peers through the partitioner.

If you plan to use the ListVerticesInfo, you will need to sort the list in each step after adding/removing vertices. You can consider using of SortedSet instead of list. – Edward