6. In 1-3:In Exercises 1-5 determine whether the given graph has an Euler circuit. Constructsuch a circuit when one exists. If no Euler circuit exists, determine whether thegraph has an Euler path and construct such a path if one exists.1.b2.adeb3. aCd

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Answered: 6. In 1-3: In Exercises 1-5 determine…

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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Draw the complete bipartite graph K2,5. Clearly show (in separate sketches) two Euler circuits or discuss why this graph can't have
40. Find the Euler circuit and Hamilton circuit for the given graph if there is one. E DA
QUESTION B Prove that the graph below has no Hamilton circuit by pointing out a subset of vertices whose removal results in more connected components than vertices removed. m
Find a Hamilton circuit for the graph that begins with the specific edge EA and AE
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
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Determine an Euler circuit that begins with an vertex C in this Graph.
13. A mail person decides to park their vehicle and walk through one of the neighborhoods they deliver mail. They want to return to their vehicle without crossing any path twice. Can they get back to their vehicle using the graph K, below? Find the degrees of the vertices, then find an Euler circuit if one exists. h K9 Fill in the degree of each vertex based on the graph. Vertex Degree a b d e f g y Euler circuit:
The graph shown has at least one Euler circuit. Determine an Euler circuit that begins and ends with vertex C. Complete the path so that it is an Euler circuit. C, A, B, E, D, A, 0 ... (.... D B E
13. The edges in the figure below represent electrical lines that must be inspected and the vertices represent junctions. Is there a route that will not require the inspector to travel along already inspected lines? That is, is there an Euler circuit for the graph in the Figure? Be sure to explain your answer. B E

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6. In 1-3: In Exercises 1-5 determine whether the given graph has an Euler circuit. Construct such a circuit when one exists. If no Euler circuit exists, determine whether the graph has an Euler path and construct such a path if one exists. 1. a b 2. b # a de g 3. a с