Euler Circuits In Exercises 1-3, a graph is shown and some sequences of vertices are specified. Determine which of these sequences show Euler circuits. If not, explain why not.
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- Which are circuits in the graph? If not, why not? (a) E-F→ A B C D (b) B C D →F→A→B (c) ADE FA (d) CD (e) F→E F→B→D F→D→E→F F E OA. Yes, it is a circuit. OB. No, it is not a circuit. It does not begin and end at the same vertex. OC. No, it is not a circuit. There is no edge joining vertices (Use a comma to separate answers as needed.) G (a) Is E F→ A B C Da circuit? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. Yes, it is a circuit. OB. No, it is not a circuit. There is no edge joining vertices (Use a comma to separate answers as needed.) OC. No, it is not a circuit. It does not begin and end at the same vertex. OD. No, it is not a circuit. The edge joining vertices is used more than once. (Use a comma to separate answers as needed.) (b) Is B→CD-F→A→ B a circuit? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OD. No, it is not a circuit. The edge joining vertices is used more…arrow_forwardh a In the graph above, how many connected components are in the subgraph induced by each of the following subsets of the vertices? (a) {a, b, c, d, e} (b) {S,9, h, i, j} (c) {a,c, g, i,j} (d) {c, d, g, h, j} (e) {b, e, f, h, i}arrow_forwardUse Euler's theorem to determine whether the graph has an Euler path (but not an Euler circuit), Euler circuit, or neither. A C D F E Explain your answer?arrow_forward
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