In the following graph, find a Hamiltonian path and prove that no Hamiltonian cycle exists. 1 2 6 7 50 3 4
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- Which of the graph/s above contains an Euler Trail? Which of the graph/s above is/are Eulerian? Which of the graph/s above is/are Hamiltonian?A wheel graph W₁, n ≥ 4 is the graph made from the cycle Cn-1 by adding an additional vertex vn (in the center of the cycle) and additional edges connecting Vn to each vertex of Cn-1. Describe the graph Wn and prove that Wn is Hamiltonian.Determine whether or not each graph contains a Hamiltoniancycle. If there is a Hamiltonian cycle, exhibit it; otherwise, givean argument that shows there is no Hamiltonian cycle.
- Determine if the graph shown below is Hamiltonian or Not * 2 points Hamiltonian Not HamiltonianGive an example of a graph that has an Euler cycle and a Hamiltonian cycle that are not identical.find a Hamiltonian Cycle for the graph below starting at vertex C. If a Hamiltonian Cycle is not possisble, write NONE B F G