(v) Give an example of a circuit of length zero in the graph. PROBLEM 2Refer to the undirected graph provided below:BFFigure 6: An undirected graph has 9 vertices. 6 vertices form a hezagon, which istilted upward to the right. Starting from the leftmost verte, moving clockwise, thevertices forming the hezagon shape are: D, A, B, E, I, and F. Vertez H is aboveand to the right of verter B. Vertez G is the rightmost verter, below verter H andabove vertez E. Verter C is the bottommost vertez, a little to the right of verterE. Undirected edges, line segments, are between the following vertices: A and D; Aand B; B and F; B and H; H and G; G and E; B and E; A and E; E and I; I andC; I and F; and F and D.(i) What is the maximum length of a path in the graph? Give an example ofa path of that length.(ii) What is the maximum length of a cycle in the graph? Give an example ofa cycle of that length.(iii) Give an example of an open walk of length five in the graph that is a trailbut not a path.(iv) Give an example of a closed walk of length four in the graph that is not acircuit.D.

Step:-1 Walk:- A walk is a finite or infinite sequence of edges which joins a sequence of vertices.…

Refer to the undirected graph provided below: H D. Figure 6: An undirected graph has 9 vertices. 6 vertices form a hezagon, which is tilted upward to the right. Starting from the leftmost vertez, moving clockuise, the vertices forming the hezagon shape are: D, A, B, E, I, and F. Vertez H is above and to the right of vertez B. Vertez G is the rightmost vertez, below vertez H and above vertez E. Vertez C is the bottommost vertez, a little to the right of vertez E. Undirected edges, line segments, are between the following vertices: A and D; A and B; B and F; B and H; H and G; G and E; B and E; A and E; E and I; I and C; I and F; and F and D. (1) What is the maximum length of a path in the graph? Give an example of a path of that length. (i) What is the maximum length of a cycle in the graph? Give an example of a cycle of that length. (iii) Give an example of an open walk of length five in the graph that is a trail but not a path. (iv) Give an example of a closed walk of length four in the graph that is not a circuit. B.

Refer to the undirected graph provided below: H D. Figure 6: An undirected graph has 9 vertices. 6 vertices form a hezagon, which is tilted upward to the right. Starting from the leftmost vertez, moving clockuise, the vertices forming the hezagon shape are: D, A, B, E, I, and F. Vertez H is above and to the right of vertez B. Vertez G is the rightmost vertez, below vertez H and above vertez E. Vertez C is the bottommost vertez, a little to the right of vertez E. Undirected edges, line segments, are between the following vertices: A and D; A and B; B and F; B and H; H and G; G and E; B and E; A and E; E and I; I and C; I and F; and F and D. (1) What is the maximum length of a path in the graph? Give an example of a path of that length. (i) What is the maximum length of a cycle in the graph? Give an example of a cycle of that length. (iii) Give an example of an open walk of length five in the graph that is a trail but not a path. (iv) Give an example of a closed walk of length four in the graph that is not a circuit. B.

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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Question

(v) Give an example of a circuit of length zero in the graph.

PROBLEM 2
Refer to the undirected graph provided below:
B
F
Figure 6: An undirected graph has 9 vertices. 6 vertices form a hezagon, which is
tilted upward to the right. Starting from the leftmost verte, moving clockwise, the
vertices forming the hezagon shape are: D, A, B, E, I, and F. Vertez H is above
and to the right of verter B. Vertez G is the rightmost verter, below verter H and
above vertez E. Verter C is the bottommost vertez, a little to the right of verter
E. Undirected edges, line segments, are between the following vertices: A and D; A
and B; B and F; B and H; H and G; G and E; B and E; A and E; E and I; I and
C; I and F; and F and D.
(i) What is the maximum length of a path in the graph? Give an example of
a path of that length.
(ii) What is the maximum length of a cycle in the graph? Give an example of
a cycle of that length.
(iii) Give an example of an open walk of length five in the graph that is a trail
but not a path.
(iv) Give an example of a closed walk of length four in the graph that is not a
circuit.
D.

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Hello, can someone explain this to me? I get confused when there are multiple graphs at once. Thank you!
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