1. Prove by induction that a graph with n vertices has at most n(n-1)/2 edges. 10 1 5. E 3 11 10 2. For the undirected weighted graphs shown above: a. Represent the graphs using the adjacency matrix representation b. Represent the graphs using the adjacency list representation. If a pointer requires four bytes, a vertex label requires two bytes, and an edge weight requires two С. bytes, which representation requires more space for each graph?

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A: Given: Given a graph.   To Do: We need to find the depth search sequence of the vertices.

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A: Answer a) graph:

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A: Explanation: To calculate Edges:  |E(G)| + |E('G-')| = |E(Kn)| 9 + |E('G-')| = 11(11-1)/2 9 +…

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A: GIVEN:

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