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Referring to the figure below, let us say that PC A is sending a large file (i.e., multiple segments) to PC B and that the li

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No, the Segments that have left PC A but not arrived at PC B will not be lost. Indeed they will search for an alternative path to PC B when that link x goes down. In this case, an alternative route exists, and hence if the link fails, the segments won't be lost. The blowdown of the link will just affect the transmission speed as the segments that were meant to follow that x link path now will follow some other path that will block the other segments passage and thereby slowing down the transmission.

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