Merge Results. Merge costs are shown in Figure 16 when the resulting group size is 16, 32, 64, and 128. For a fixed number of resulting group size TGDH and BD show almost constant cost meaning that it does not depend on the number of current group members. In contrast, the performance of GDH strongly depends on the number of current group members, since the last member in the current group becomes the sponsor. 0.8 Merge Cost Comparison (16 users) 1.6 1.4 Merge Cost Comparison (32 users) 0.7 "MERGE 32 (TGDH)" "MERGE 32 (STR)" "MERGE 32 (GDH)" "MERGE 32 (BD)" 1.2 "MERGE 16 (TGDH)" "MERGE 16 (STR)" "MERGE 16 (GDH)" "MERGE 16 (BD)" 0.6 1 Time (sec) Time (sec) 0.5 0.8 0.4 0.6 0.3 0.4 0.2 0 Group Size Group Size
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Samples: typeset.io, citeseerx.ist.psu.edu:443, www.ics.uci.edu
Merge Results. Merge costs are shown in Figure 16 when the resulting group size is 16, 32, 64, and 128. For a fixed number of resulting group size TGDH and BD show almost constant cost meaning that it does not depend on the number of current group members. In contrast, the performance of GDH strongly depends on the number of current group members, since the last member in the current group becomes the sponsor. 0.8 Merge Cost Comparison (16 users) 1.6 1.4 Merge Cost Comparison (32 users) 0.7 "MERGE 32 (TGDH)" "MERGE 32 (STR)" "MERGE 32 (GDH)" "MERGE 32 (BD)" 1.2 "MERGE 16 (TGDH)" "MERGE 16 (STR)" "MERGE 16 (GDH)" "MERGE 16 (BD)" 0.6 1 Time (sec) Time (sec) 0.5 0.8 0.4 0.6 0.3 0.4 0.2 0 Group Size Group Size
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Samples: eprint.iacr.org, www.ics.uci.edu