OF E D Determine the degree of each vertex in the above graph. Determine a path and a circuit for the graph
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- Determine whether the given graph has a Hamilton circuit. If it does, find such a circuit. If it does not, give an argument to show why no such circuit exist. 31. a 32. a6) Consider the graph at the right: b. a. (5 pts) Does it have an Euler circuit? (5 pts) Does it have an Euler path? c. (5 pts) Does it have a Hamilton circuit? d. (5 pts) Does it have a Hamilton path? 1 2 4 K 6 7 9 10 11 12 3 13 00 8Construct a graph based on the information given by the table. Then, analyse your graph and state whether it can be formed. Give explanation to support your statement. (c) Vertices Degree 1 5 2 4 1
- 16.2. Find an Eulerian circuit of the graph of Figure 16.21 by the method of Theorem 16.2, starting with the circuit A-B-F-G-A. F E Figure 16.21. A graph with an Eulerian circuit.Identify and write Euler circuit and Euler path. Also mention vertices, edges and degree of all vertices of the following graph. f A d D a BIn each part, either draw a graph with the given specifications or explain why no such graph exists. A graph with 4 vertices that has a Euler circuit but no Hamiltonian circuits.
- Matlab In computer science subject Find the maxima and minima of the given graph 2sint + 0.5t+e(a) Draw an undirected graph G1 represented by the following adjacency matrix: 0 1 0 0 0 0 0 1 0 1 1 1 0 0 1 1 1 1 0 0 1 0 0 0 1 0 0 1 0 0 1 1 1 1 0 0 0 1 1 1 1 0 0 0 1 1 Does G1 contain a Hamiltonian cycle? Explain (b) Determine which pairs of graphs G1 in part (a) and G2 and G3 shown below are isomorphic and which are not, and explain your answer. If you use any invariant property in your argument, explain why this property is an invariant. Tex our answer. t 2 G2 G3 5. 7 8.calculate the Eurle'r characteristic of this graph