Eulerize the following graph using the Edge Walker method:

Q: H.

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Q: b. a. d. c.

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Q: * 15 it Planar? B A + D I E

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Q: What is the smallest number of edges that must be added to eulerize the given graph?   0 1 2 3

A: Please find the complete answer in next step. Thanks.

Q: Construct a simple graph with vertices J, K, L, M whose degrees are 0, 2, 2, 2 What is the edge set?

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Q: Construct a simple graph with vertices V, W, X, Y whose degrees are 1, 2, 0, 1 What is the edge set?

A: Solution:

Q: Construct a simple graph with vertices H, I, J, K whose degrees are 1, 1, 0, 0 What is the edge set?

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Q: Use Kuratowski’s theorem to prove that the following graph is not planar.

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Q: Prove that the graph below is non-planar.

A: Given the graph:           Prove that the graph is non-planar.

Q: (a) Give an example of a 7-vertex tournament in which every vertex is a king.

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Q: By duplicating only 2 edges, Eulerize the following graph:

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