7)(5 pts) Which of the graphs above has an Euler cycle or Euler trail? If there...
(1 point) Which of the following graphs have Euler circuits or Euler trails? B: Has Euler trail. B: Has Euler circuit. A: Has Euler trail. A: Has Euler circuit. 下 0 下 C: Has Euler trail. C: Has Euler circuit. D: Has Euler trail. D: Has Euler circuit.
Please explain what Euler Trail for this is and Hamilton Cycle, and how to draw the shape / solve the entire/ full question. I will give a thumbs up, thank you and please. B9. Consider the following graph G: (a) Either give an euler trail in G or prove that no such trail exists. (b) Either give a hamilton cycle in G or prove that no such cycle exists. (c) Calculate (G)- the number of spanning trees of G. Show...
each of the following graphs has an Euler circuit. If it does have an Euler Determine whether such a circuit. If it does not have an Euler circuit, explain why you can find circuit, find be 100% sure. Ca au 2 (4) Find which of the following graphs are bipartite. Redraw the bipartite graphs so that their bipartite nature is evident. V2 5 니 each of the following graphs has an Euler circuit. If it does have an Euler Determine...
G3: I can determine whether a graph has an Euler trail (or circuit), or a Hamiltonian path (or cycle), and I can clearly explain my reasoning. Answer each question in the space provided below. 1. Draw a simple graph with 7 vertices and 11 edges that has an Euler circuit. Demonstrate the Euler circuit by listing in order the vertices on it. 2. For what pairs (m, n) does the complete bipartite graph, Km,n contain a Hamiltonian cycle? Justify your...
14) For the graph below, if the graph does not have an Euler circuit, explain why not. If it does have an Euler circuit, describe one by a sequence of vertices. 15) For each of the graphs below, determine whether the graph has an Euler trail. If so, find one and give it as a
5. EULER CIRCUITS (a) The graph below models scenic landmarks in a national park and the edges represent walkways between the scenic landmarks. A security guard must patrol the walkways to ensure safety. List out a sequence of vertices which uses all of the edges exactly once. Is this an Euler Circuit or an Euler Trail? H A B G С Ꭰ . E F (b) In the picture below, we can model the connections between land masses, A, B,...
5. Euler and Lagrange developed the calculus of variations. (a) Explain in a sentence what the calculus of variations is about. (b) Find the Euler-Lagrange equation (assuming y(0) 0 and y(1) 0 for minimizing the integral: (ul(t)(t)) dt. + (y(t))2 Recall that for the Lagrangian density function L(t, y, u), the Euler-Lagrange equation is as a function of t where u(t) = t). (c) How is the Euler-Lagrange equation in general related to the directional derivative of vector calculus? Why...
True or False? 36. K5,7 has a spanning subtree. Here are four graphs, A, B, C, and D. Graph A. Graph B VN Graph C Graph D 37. Which one does not have a Hamiltonian cycle or a vertex of degree 1? 38. Which one has an Euler circuit? 39. Which one is not planar? 40. Which one is a tree?
17.1x126 Which of the e following graphs represents the inequality above? A. 5 -5 B. -5 C. -5 -5
17.1x126 Which of the e following graphs represents the inequality above? A. 5 -5 B. -5 C. -5 -5