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Consider the following graph:Which one of the following cannot be the sequence of edges added, in that order, to a minimum spanning tree using Kruskal's algorithm?<image 1>



(A) (a-b),(d-f),(b-f),(d-c),(d-e)


(B) (a-b),(d-f),(d-c),(b-f),(d-e)


(C) (d-f),(a-b),(d-c),(b-f),(d-e)


(D) (d-f),(a-b),(b-f),(d-e),(d-c)


Answer with the option's letter from the given choices directly. No punctuation.


Nous: Hermes 2 Vision 7B (alpha)
mmmu / Computer_SciencePublic

(B)


Expected Answer: D

Difficulty: Hard

Subfield: Data Structure and Algorithm


Explanation: The edge (d-e) cannot be considered before (d-c) in Kruskal's minimum spanning tree algorithm because Kruskal's algorithm picks the edge with minimum weight from the current set of edges at each step.

Evaluation

Evaluation ID
6cdac047-609e-4d1f-8089-2e5828217c49
Created
February 21, 2024
Raw Output
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  "object": "chat.completion",
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