Before revision:  Finally, we note that unlike the original sketching approach of Ahn, Guha and McGregor'12, none of the existing spanner constructions yield simultaneous communication protocols with low per player information . We give the first such protocols for the spanner problem that use a small number of rounds .
After revision:  Finally, we note that unlike the original sketching approach of Ahn, Guha and McGregor'12, none of the existing spanner constructions yield simultaneous communication protocols with low per player information .