A graph is given to the right.a. Determine whether the graph has an Euler path, an Euler circuit, or neither.b. If the graph has an Euler path or circuit, use trial and error or Fleury'sAlgorithm to find one.ВE.....The graph has an Euler circuit.This graph has an Euler path (but not an Euler circuit).The graph has neither an Euler path nor an Euler circuit. BF ADECDrag the correct answers into the boxes below. If an Euler path or an Euler circuit exists, drag the vertex labels to the appropriate locations in the path. If no path orcircuit exists, leave the boxes in part (b) blank.a. Does the graph have an Euler path, an Euler circuit or neither?b. If the graph has an Euler path or an Euler circuit, use trial and error or Fleury's Algorithm to find one whose third vertex is E and fourth vertex is D.

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Answered: A graph is given to the right. a.…

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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A graph is given to the right. a. Explain why the graph has at least one Euler circuit. b. Use trial and error or Fleury's Algorithm to find one such circuit. B D a. Choose the correct explanation below. O A. It has exactly two odd vertices. B. It has no odd vertices. O C. It has no even vertices. O D. All graphs have at least one Euler circuit. b. Write an Euler circuit starting at A. (Use a comma to separate vertices as needed.)
14. Apply the Sorted Edges algorithm. Answer by drawing the edges you use to create the circuit on the empty vetices on the right OR list the edges that you use to create the circuit on the line next to #14. 14 13 12 B. B. 17 10 19 15 11 18 16 15. What is the weight of the circuit you found in #14?
Determine whether the following statement is true or false. False In the graph below, the path B, E, K, I, F, D, H, J, L, G, A, B is a Hamilton circuit. O True Ne acer
Use Fleury's algorithm to determine an Euler path. Choose the correct answer below. O A. M,N,O,M,S,T,N,Q,T,R,Q,O,P,R,S O B. M,N,T,S,M,O,N,Q,T,S,R,P,O,Q,R,S O C. N,O,Q,N,T,Q,R,T,S,P,O,M,N D. O,P,R,Q,N,O,M,N,T,Q,R,T,S,R ... M CO a O R a N
ait true that the graph below must have Hamilton circuits? If so, determine the number of such circuits. O A. Yes, 120 O B. No OC. Yes, 24 O D. Yes, 5 DOLL
4. A student claims to have found an Euler circuit on each graph below as indicated with arrows. a. Name 1 reason why the indicated path is not an Euler circuit. b. Name 2 reasons why the indicated path is not an Euler circuit. 4 8 5 que ad El bloow rb c A mogla berl 5. Determine if the graph contains an Euler circuit. If so, identify an Euler circuit on the graph by number- ing the sequence of edges in the order traveled. If not, explain. sob info is y hiw doing baton 6. Determine if the graph contains an Euler circuit. If so, identify an Euler circuit on the graph by number- ing the sequence of edges in the order traveled. If not, explain.
Find a Hamilton circuit for the graph that begins with the specific edge EA and AE
13. Consider the following graph: B F E Does it have an Euler circuit, an Euler path, or neither? Explain why.
10. For the question use Nearest neighbor Algorithm. starting at vertices E, F, G and H. Give the circuit and the weight. Also, find the minimum Hamilton circuit from the table starting at G. E 10 10 10
5. Each of the following lists of vertices forms a path in the directed graph. Which paths are simple? Which are circuits? What is the length of each path? a d Path a, b, e, c, b a, d, a, d, a a, d, e, e, c a, b, e, c, b, d, a C Circuit Simple Length
1) Determine which, if any, of the given graphs and paths is/are a Hamilton circuit. There can be more than one answer. Either circle the letter(s) that represent the graph that does OR write the letter (s) on the line provided. If none has a Hamilton circuit, state NONE on the line provided. A A E ADC BEA B B A FED⇒AB⇒C C D E FB →DA F E C
a. How many edges does a graph have if it has vertices of degree 4, 4, 3, 3, 3, 1? Draw the graph. b. Represent the below graph, G, using and adjacency matrix. c. State, giving reason(s), whether or not graph G has an euler circuit?

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A graph is given to the right. a. Determine whether the graph has an Euler path, an Euler circuit, or neither. b. If the graph has an Euler path or circuit, use trial and error or Fleury's Algorithm to find one. B E F A. ...