7. For the graph shown right:a) Does it have an Euler circuit starting and ending at vertex A ?If so, find one. If not, explain why not.b) Does it have a Hamilton circuit starting and ending at vertex A?If so, find one. If not, explain why not.BHoDE

Answered: Image /qna-images/answer/64fd8c41-2f87-4897-a5a2-e6c751049324.jpg

Answered: 7. For the graph shown right: a) Does…

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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Which one of the following statements is NOT true about this graph? B E F Figure 1 O C) It is a connected graph. O D) A loop exists. O A) There is a circuit. O B) There are multiple edges.
Please help me with these questions. I am having trouble understanding what to do. Thank you
When a vertex Q is connected by an edge to a vertesx K, what is the term for the relationship between Q and K A. Q and K are "isolated" B. Q and K are adjacent C. Q and K are "insecure" D. Q and K are "incident"
Kindly solve both parts correctly and handwritten
Use Euler's theorem to determine whether the graph has an Euler path (but not an Euler circuit), Euler circuit, or neither. G A N M D L K Explain your answer? I1 E, K.
For the following graph, explain, giving reason for your answer, why an Euler circuit exists. Indicate the circuit. a 8 e h j
In a school, n+100 students have access to three software packages A, B and C. n-1 did not use any software n-2 used only packages A n-3 used only packages B n-4 used only packages C n-5 used all three packages n-6 used both A and B. where n is your arid number i.e. 19-arid-234 take n=234 a) Draw a Venn diagram with all sets enumerated as for as possible. Label the two subsets which cannot be enumerated as x and y in any order. b) If twice as many students used package B as package A, write down a pair of simultaneous equations in x and у. c) Solve the equations to find x and y. d) How many students used package C?
Which of the following graphs has an Euler circuit? III O a lonly Ob Il only O C. Tand II d. Il and Il Clear my choice
For each graph below, ﬁnd an Euler circuit in the graph or explain why the graph does not have an Euler circuit. Figure 10: An undirected graph has 7 vertices, a through g. 5 vertices are in the form of a regular pentagon, rotated 90 degrees clockwise. Hence, the top vertex becomes the rightmost vertex. From the bottom left vertex, moving clockwise, the vertices in the pentagon shape are labeled: a, b, c, e, and f. Vertex d is above vertex e, below and to the right of vertex c. Vertex g is below vertex e, above and to the right of vertex f. Undirected edges, line segments, are between the following vertices: a and b; a and c; a and d; a and f; b and f; b and c; b and e; c and d; c and g; d and e; d and f; and f and g.
71. Answer the following questions for graph G below, which was created to represent the roads of a shopping mall. C B A (a) Determine the number of vertices and edges of the graph. (b) Determine the valences of the vertices A, F, and D. (c) If the graph has an Euler circuit, write it down starting with vertex E.
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 following graph has a Hamilton circuit. b d h

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7. For the graph shown right: a) Does it have an Euler circuit starting and ending at vertex A? If so, find one. If not, explain why not. b) Does it have a Hamilton circuit starting and ending at vertex A? If so, find one. If not, explain why not. A B H C F D G E