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In this work, we discuss when two users are able to exchange multimedia content and when that exchange is always possible. Two thresholds are of interest, a threshold for percolation and a threshold for full connectivity. To derive these thresholds, when discussing the bond percolation, we consider not only four directions, upper, right, left, and lower, but also more directions like upper-right,...
In this work, we deal with the conditions of when the network percolates. Unlike the previous work, where establishing connections are limited to only four adjacent sub-squares (the left, right, upper and lower sub-squares), we allow the transmission connection can be established with all eight adjacent sub-squares of the sub-square of interest. To prove the condition of percolation, we find the lower...
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