MST trees checker (kruskal)

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I have implemented the kruskal's algorithm in c++ in LEDA library. So, i stored in a linked list the edges that belong to a MST, and those that are not . So, i wanna make a checker program that checks if the edges are rigth, by checking if the MST cycle property is applied in my tree. I have to make this program with LEDA's dynamic trees. But my overall question is : If i have these edges:

`u1-u2 
 u3-u5 
 u2-u3
  ...`

How can I order them so that they are continues , like:

u1-u2
u2-u3
u3-u5
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