Find a spanning tree of the graph below using the undirected spanning tree algorithm. Work by hand

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Find a spanning tree of the graph below using the undirected spanning tree algorithm. Work by hand on this problem rather than using Mathematica. Assume that the order of the edges is:

\(\{1,2\},\{2,5\},\{2,3\},\{4,7\},\{2,6\},\{1,4\},\{2,4\},\{3,4\},\{6,7\},\{5,6\},\{4,5\}\)

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