18. Either find a Hamilton circut for the figure below or explain why no such circuit exists. Either find a Euler circuit for the figure below or explain why no such circuit exists. (8 points)

Q: 9) Find a Hamilton circuit that starts at A for the following graph B FO E

A: Given graph is  A Hamilton circuit is a circuit in a graph which visits every vertex exactly once…

Q: Find any • Euler paths, • Euler circuits, • Hamilton paths, and/or • Hamilton circuits if possible…

A: Euler path touches every edge only one time and ends in a different vertice other than the starting…

Q: Refer to the figure below, what is a possible Euler circuit of the graph? OF A. A D C>B->E>F>E>D→A>B…

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Q: 1. Determine whether the following graph is Eulerian. If it is, find the Euler circuit. If it is…

A: A graph is said to be Eulerian graph if the graph is  connected has a closed trail which mean a…

Q: 23. Does the following graph contain a Euler Circuit? If so find the circuit. If, no, explain why…

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Q: Does the envelope graph below have an Euler Walk and circuit?

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Q: 5. Find the degree of each vertex in the graph below. Hence, is there an Euler circuit? If yes,…

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Q: 11. Given the following graph. e a) Does this graph have an Euler circuit? If so, list one.

A: # We are entitled to solve only one question at a time ,please resubmit the other question if you…

Q: Suppose that D, G, E, A, H, C, B, F, D is a Hamilton circuit in a graph. a) Find the number of…

A: a) Since there are 8 different vertices in the Hamilton circuit, number of vertices in the graph is…

Q: Determine whether the following graphs have Euler circuits. If the graph does not have an Euler…

A: Closed walk: When a walk begins and ends with the same vertex, it is called a closed walk. Euler…

Q: 7. Is it possible for a graph with six vertices to have a Hamilton Circuit, but NOT an Euler…

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Q: (2) For the graph below (a) Find an Eulerian circuit, or prove that none exists. (b) Find a…

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Q: F A D E.

A: Given a graph G with vertices A, B, C, D, E, F, G. To find the Euler Path and Euler Circuit. Euler…

Q: Consider the graphs K,, K3 and K,, in figure given below. Find and draw an Euler 3,3 (traversable)…

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Q: Is it possible for a graph with six vertices to have a Hamilton Circuit, but NOT an Euler Circuit.…

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Q: Either find a Hamilton circuit for the figure below or explain why no such circuit exists. Either…

A: In the given graph, degree of each vertex is three except for the vertex v3. Recall: If deg u+deg…

Q: 5. Does the graph bellow have a Hamiltonian path? Hamiltonian circuit? If

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Q: For which n does the graph Kn contain an Euler circuit? Explain.

A: According to the given information, It is required to find the value of n for which the graph Kn…

Q: 32. Which of the following is true of a Euler circuit? OIt cannot have any even vertices It can have…

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: How do we know the graph K, has an Euler circuit using the Euler Circuit Theorem? d K1 No answer…

A: According to the Euler circuit theorem, the graph with all the vertices with even degree has an…

Q: What is the Hamiltonian circuit in the given graph below? B D.

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Q: WHAT is this type of circuit or graph a. Hamiltonian circuit b.Euler path c.Hamiltonian path d.Euler…

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Q: For which values of n does the graph kn have an Euler circuit?

A: The given question is which values of n does the graph Kn has an Euler circuit. The solution to the…

Q: How can you draw a Euler diagram to show the following is invalid

A: P implies q The sentence p implies q is true if and only if the p is false or q is true or (the…

Q: Hamiltonian circuit,

A: Let the set of vertices of a bipartite graph be V = Vo ∪ V1, where |Vo| = m, |V1| = n and all…

Q: 16. Does this graph have an Eulerian circuit? If not, why not? If so, list one. List a Hamiltonian…

A: To investigate the given graph for the required circuit  properties

Q: Select the circuit that models: A + B(C + A)

A: Given,  A¯+B¯ ¯C+A¯

Q: Construct a graph with vertices I, J, K, L, M, N that has an Euler circuit and the degree of L is 4.…

A: Given that, I, J, K, L, M, N that has an Euler circuit and the degree of L is 4. We have to find the…

Q: 8. Find an Euler Circuit or an Euler Path. State which one you found and list the vertices in the…

A: complete Graph  is given we have to find Euler circuit or an Euler path

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

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Q: 2) A planar triangulation is constructed from a planar graph, and adding edges without edge…

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Q: Give an appropriate answer. Using the following graph, find an Euler circuit that begins and ends…

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Q: Does the ff. graph contain a Hamilton circuit? False O True

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Q: Construct a simple graph with vertices H, I, J, K, L, M that has an Euler circuit and the degree of…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Which of the following CANNOT be an Euler circuit for the graph in #26. BACDAEB EABDCADE ABDEA

A: EB is not an edge  So, BACDAEB is not an Euler circuit. Again the cycle EABDCADE covers all the…

Q: K3 Euler path: Euler circuit: Hamilton path: Hamilton circuit:

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Q: 8. Determine whether the given graph has an Euler circuit. Construct such a circuit when one exists.…

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Q: 6) Consider the graph. State the paths or circuits or describe why it does not have the path or…

A: The given graph is connected and all vertices have even degree. The given graph can draw…

Q: 40. Find the Euler circuit and Hamilton circuit for the given graph if there is one. E

A: An Euler circuit is a circuit in which every edge of the graph is transversed only once such that…

Q: Does the following graph contain an Euler circuit? Explain why or why not.

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Q: in the nearest neighbor method is it necessary to fin the circuit from each place as the starting…

A: For solving this question we need to take help from the nearest neighbor algorithm.

Q: 13. Consider the following graph: E Does it have an Euler circuit, an Euler path, or neither?…

A: A graph has an Euler circuit if and only if the degree of every vertex is even. Here deg(A)=3,…

Q: Use Euler's theorem to determine whether the graph has an Euler path (but not an Euler circuit),…

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Q: et B

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Q: Which of the following graphs have hamiltonian circuits? DA OB

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Q: 15. Determine if the graph contains an Eulerian path or circuit. If so, write the path or circuit. B…

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Q: 2. Does the following graph have a Hamiltonian circuit? If so, Indicate one via wigly edges.

A: The given graph is:

Q: has a Hamilton path that starts at G and ends at D. has no Hamilton path. has a Hamilton path that…

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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…

A: (a) Yes it is simple graph. (A graph with no loops and no parallel edges is called a simple graph.)…