5: Treatment of triggered edges
------------------------------------

Consider a triggered edge $j$. We first identify its two endpoints. For the purposes of this step we will identify the endpoint with the larger label, call it the source, and denote by $S$. The other will be called the destination and denoted by $D$. In the end of the cycle, this vertex $S$ will become the source of the flow through $j$.

Notice that at least one of the endpoints is triggered. If only one endpoint is triggered, than we are sure that this triggered endpoint is the one that we designated as the source $S$.

We then look whether the source $S$ was active or inactive before it was triggered.

### Case in which the source $S$ was inactive before triggering

There are several cases based on the prior status of $j$. If $j$ was passive, then it should become active and no further analysis is necessary. If it was used or just used, then it should become active and the time component should be restored to the original one. Assume now that the edge $j$ was active. Based on the knowledge that $S$ was inactive vertex we can conclude that the 