Detailed Instructions: In this task, we ask you to elaborate the sentence without changing its general meaning. You can do so by explaining further the input sentence, using more precise wording, adding qualifiers and auxiliary information etc.
Q: In a graph where all the edges have the same weight , every tree is a minimum spanning tree .
A:
There may be several minimum spanning trees of the same weight ; in particular , if all the edge weights of a given graph are the same , then every spanning tree of that graph is minimum .