Consider the following graph. B D F Find the degree of each vertex. deg(A) deg(B) deg(C) deg(D) deg(E) deg(F) Does the following graph have an Euler circuit? If the graph has an Euler circuit, choose the answer that describes it. If the graph does not have an Euler circuit, choose the answer that explains why. O One Euler circuit is A BCFEDCBADCBA One Euler circuit is A B CFEDA O One Euler circuit is A BCDEFCBA O This graph does not have an Euler circuit because vertices C and D have odd degree. O This graph does not have an Euler circuit because vertices A, B, E, and F have even degree. O This graph does not have an Euler circuit because it is not connected.

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A: It is known that, “A graph will contain an Euler circuit if all vertices have even degree”.   It is…

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Q: (b) a)

A: (a) The new Eularian graph is shown in the figure given in step 2.

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Q: illi. Graph A Graph B Graph C

A: We will tell you about shape of the graph.

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Q: For

A: We use given hint.

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A: In the graph the vertex represents student and edge indicates two students study together.

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A: An Euler circuit is a circuit that uses every edge of a graph exactly once.

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A: Strongly connected graph

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Q: d b a

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A: The number of Hamilton circuits of a graph are 12n-1! Where n is the number of vertices.

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Q: N L Q Consider the graph given above. Add an edge so the resulting graph has an Euler circuit…

A: Add  OP edge   Then the circuit become  PMNPQNOLMOP

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A: Since solve the first question for you. If youwant any specific question to be solved then please…

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Q: b a

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Q: For the graph on the right, a. Determine if the graph must have Hamilton circuits. b. If the graph…

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Q: D E B F G Consider the graph given above. Give an Euler trail through the graph by listing the…

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Q: a) Determine whether the graph below is Eulerian. If it is, find the Eulerian Circuit. If not,…

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Q: b e a

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Q: C e

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Q: B Complete the following for the graph on the right. a. Determine if the graph must have Hamilton…

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