Consider a connected graph with at least three vertices and no multiple edges. Let n be the number of vertices in the graph. If every vertex has degree of at least n/2, then,  A. the graph must be Hamiltonian B. the graph must be Eulerian C. the graph must have a Hamiltonian path D. the graph must have an Euler path E. none of these

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Q: Consider the following graph G with five vertices a, b, c, d, and e: a b d e Select all true…

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Q: Euler cycle.

A: AnswerSuppose we have some simple graph G, with odd n>, 1 nodes, and that this graphhas an Euler…

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Q: A graph with four vertices is Hamiltonian if each vertex has a degree of two. True O False

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Q: 1.(a)Determine with proof whether the following graph G is Hamiltonian. (b)Give a minimal set of…

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Q: B

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Q: 5. Does the graph bellow have a Hamiltonian path? Hamiltonian circuit? Explain. f e

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Q: Which of the following graphs have hamiltonian circuits? R VA OB I R K L OC OD

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Q: Does the following graph have a Hamiltonian circuit? a C e f

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Q: 7. Find the Euler circuit Euler trail for the graphs below. Also find the Hamiltonian circuit.

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Q: 3. Find a Hamiltonian circuit for the following graph e

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Q: 7. a, By using the theorem of Havel and Hakimi decide whether there exists a simple graph with…

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Q: Which of the following graphs does NOT contain an Euler path? E В. E С. D.

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Q: 12. Given the graph below, a ) Is it simple? Yes No b) Is it connected? Yes No - Yes No c) Is there…

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