BComplete the following for the graph on the right.a. Determine if the graph must have Hamilton circuits.Gb. If the graph must have Hamilton circuits, determine the number of suchHcircuits.K.....a. Must the graph have Hamilton circuits?O A. Yes, it must because it is complete and has at least three vertices.O B. Yes, it must because it is not complete.O C. No, it might not because it is complete and has at least three vertices.OD. No, it might not because it is not complete.b. How many circuits, if any, does the graph have? Select the correct choice below and, if necessary, fill in the answer box to complete your choice.O A. The graph hasHamilton circuits.O B. The graph does not have any Hamilton circuits.

Complete the following for the graph on the right. a. Determine if the graph must have Hamilton…

Answered: B Complete the following for the graph…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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For the graph on the right, a. Determine if the graph must have Hamilton circuits. b. If the graph must have Hamilton circuits, determine the number of such circuits. a. Must the graph have Hamilton circuits? Choose the correct answer below. A. Yes, it must because the graph is a complete graph that contains three or more vertices. O B. No, it might not because the graph is a complete graph that contains three or more vertices. O C. No, it might not because the graph is not a complete graph that contains less than three vertices. O D. Yes, it must because the graph is a complete graph that contains less than three vertices. b. How many Hamilton circuits, if any, does the graph have? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The graph has Hamilton circuits. O B. The graph does not have any Hamilton circuits.
10. Determine whether the given graphs are bipartite or not. а. b. b d
For the graph on the right, a. Determine if the graph must have Hamilton circuits. b. If the graph must have Hamilton circuits, determine the number of such circuits. a. Must the graph have Hamilton circuits? Choose the correct answer below. VA. Yes, it must because the graph is a complete graph that contains three or more vertices. O B. No, it might not because the graph is a complete graph that contains three or more vertices. O C. No, it might not because the graph is not a complete graph that contains less than three vertices. O D. Yes, it must because the graph is a complete graph that contains less than three vertices. b. How many Hamilton circuits, if any, does the graph have? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The graph has Hamilton circuits. O B. The graph does not have any Hamilton circuits.
Explain why the graph shown to the right has no Euler paths and no Euler circuits. A B D. E G H. ..... Choose the correct answer below. O A. By Euler's Theorem, the graph has no Euler paths and no Euler circuits because it has all even vertices. O B. By Euler's Theorem, the graph has no Euler paths and no Euler circuits because it has exactly two odd vertices. O C. By Euler's Theorem, the graph has no Euler paths and no Euler circuits because it has more than two odd vertices. O D. By Euler's Theorem, the graph has no Euler paths and no Euler circuits because it has an even number of odd vertices.
A. Answer the following question accordingly. It shouldn’t take that long. Thanks in advance!
31. In any undirected graph the sum of degrees of all the nodes A. must be even B. are twice the number of edges C. must be odd D. need not be even
a. the number of edges in the graph, b. the number of vertices in the graph, c. the number of vertices that are of odd degree, d. whether the graph is connected, and e. whether the graph is a complete graph. 5.
2) Determine which of the graphs, if any, is/are connected. There can be more than one answer here. Either circle the letter(s) of the connected graph(s) or list the letters on the line given. If there are no connected graphs here, state NONE on the line provided. B d d 1 2)
Refer to the accompanying graph. Complete parts (a) through (c) in order. Starting at A, the circuit is Starting at B, the circuit is Starting at C, the circuit is Starting at D, the circuit is Starting at E, the circuit is (Simplify your answers.) (b) Which of the circuits for M A. The circuit that stai TL-- AL - and the total weight is otal weight is otal weight is otal weight is otal weight is A D C E→B→A A B C D→E→A A C D E→B→A ... A-E→C D→B→A B 13 15 60 C (a) Use the nearest neighbor algorithm starting at each of the vertices in turn to determine an approximate solution to the problem of finding a minimum Hamilton circuit for the graph. In each case, find the total weight of the circuit. 6/ 57 14 9 8 E 12 D ion to the problem of finding a minimum Hamilton circuit for the graph? Select all that apply.

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