Elephant flow is an extremely large (in total bytes) continuous flow set up by a TCP (or other protocols) flow measured over a network link
Mice flow is an extremely short (in total bytes) continuous flow set up by a TCP (or other protocols) flow measured over a network link.
A mouse is a flow with fewer than C packets. An elephant flow is a flow with at least C packets. The constant C is left as a degree of freedom in the analysis. C is chosen depending on the target application
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