FIRST-PASSAGE PERCOLATION ON THE RANDOM GRAPH
Probability in the Engineering and Informational Sciences
Performance Analysis of Communications Networks and Systems
Performance Analysis of Communications Networks and Systems
Weight of the shortest path to the first encountered peer in a peer group of size m
Probability in the Engineering and Informational Sciences
The weight and hopcount of the shortest path in the complete graph with exponential weights
Combinatorics, Probability and Computing
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We revisit the peer selection problem of finding the most nearby peer from an initiating node. The metrics to assess the closeness between peers are hopcount and delay, respectively. Based on a dense graph model with i.i.d regular link weight, we calculate the probability density function to reach a peer with minimum hopcount and asymptotically analyze the probability to reach a peer with the smallest delay within a group of peers. Both results suggest that a small peer group size is enough to offer an acceptable content distribution service. We also demonstrate the applicability of our model via Internet measurements.