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Prove cut property: lightest crossing edge in every MST
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Prove cut property: lightest crossing
edge in every MST
Analyze the prove cut property: lightest crossing edge in every mst.
Examples
Example 1
Input:
"proof_case_1"
Output:
true
Example 2
Input:
"proof_case_2"
Output:
true
Hints
Hint 1
Recall the definition of a cut in a graph and how it partitions the vertices into two disjoint sets.
Hint 2
Consider how the lightest edge crossing a cut relates to the edges in any MST of the graph.
Hint 3
Prove that if an edge is the lightest crossing edge for some cut, it must be included in every MST of the graph.
Prove cut property: lightest crossing edge in every MST
Analyze the prove cut property: lightest crossing edge in every mst.