rected graph and each edge e ∈ E is associated with a positive weight ℓ(e). For simplicity we assume weights are dis

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A: 1. Option 1 is false as a vertex may be formed from more than 1 on edges as well. So number of 1 in…

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A:

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A: Proofs for a, b is given below :

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A: First of all, you need to understand that, for a given graph, there may be more than one minimum…

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A: As per guidelines I can answer only three sub-parts. I hope you will understand. Thank You.

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A: ANSWER:-

Q: A E F 1. I. Write adjacency matrix representation. II. Write adjacency list representation. Is there…

A: Here is the approach :-  In the BFS we travel nodes in the horizontal manner . Where we trace the…

Q: Let G=(V, E) denote an weighted un

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A: The adjacenecy matrix representation for the above problem would be: a b c d e fa 0 2 0 0 5 0b 2 0 8…

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A: - We have to calculate the minimum possible weight for the spanning tree.

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Q: it step by step. Answer: here a 5 b 6 3 1 d 4 2 6

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Q: Let G = (V, E) be an undirected and connected graph, where each edge (u, v) E E has a weight wt(u,…

A: The solution for the above given question is given below:

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A: The Answer is

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A: Defined the given graph MST using Krushal's algorithm and cheapest edge crossing the cut

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Q: rected graph K, with two distinct vertices z, k. And let O be a minimum spanning tree of K. Prove…

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A: In questions with many questions we must do the first one.

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A: Please see the next step for solution.

Q: ights are distinct. Is th

A: The statement is true.

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A: [Note: Hello. Since your question has multiple parts, we will solve first question for you. If you…

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