Let ๐บ(๐,๐ธ) be a simple, undirected, edge-weighted graph with unique edgeโฆ
PYQ GATE 2026
Let ๐บ(๐,๐ธ) be a simple, undirected, edge-weighted graph with unique edge weights. Which of the following statements about the minimum spanning trees (MST) of ๐บ is/are true?
- A.
In every cycle ๐ถ of ๐บ, the edge with the largest weight in ๐ถ is not in any MST
- B.
In every cycle ๐ถ of ๐บ, the edge with the smallest weight in ๐ถ is in every MST
- C.
For every vertex ๐ฃ โ๐, the edge with the largest weight incident on ๐ฃ is not in any MST
- D.
For every vertex ๐ฃ โ๐, the edge with the smallest weight incident on ๐ฃ is in every MST
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