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If all the edge weights of an undirected graph are positive, then any subset of edges that connects all the vertices and has minimum total weight is a 
  • a)
    Hamiltonian cycle
  • b)
    grid
  • c)
    hypercube
  • d)
    tree
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
If all the edge weights of an undirected graph are positive, then any ...
As here we want subset of edges that connects all the vertices and has minimum total weight i.e. Minimum Spanning Tree Option A - includes cycle, so may or may not connect all edges. Option B - has no relevance to this question. Option C - includes cycle, so may or may not connect all edges. Related:
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If all the edge weights of an undirected graph are positive, then any subset of edges that connects all the vertices and has minimum total weight is aa)Hamiltonian cycleb)gridc)hypercubed)treeCorrect answer is option 'D'. Can you explain this answer?
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