nment.tex - TeXstudio part label tiny 51 5 of 16 (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. snhu (v) Give an example of a circuit of length zero in the graph. ignment.tex - TeXstudio part label tiny 51 5 of 16 Refer to the undirected graph provided below: C Figure 6: An undirected graph has 9 vertices. 6 vertices form a heragon, which is tilted upward to the right. Starting from the leftmost verter, moving clockwise, the vertices forming the heragon shape are: D, A, B, E, I, and F. Verter H is above and to the right of verter B. Verter G is the rightmost verter, below verter H and above verter E. Verter C is the bottommost verter, a little to the right of verter E. Undirected edges, line segments, are between the follouwing 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.
nment.tex - TeXstudio part label tiny 51 5 of 16 (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. snhu (v) Give an example of a circuit of length zero in the graph. ignment.tex - TeXstudio part label tiny 51 5 of 16 Refer to the undirected graph provided below: C Figure 6: An undirected graph has 9 vertices. 6 vertices form a heragon, which is tilted upward to the right. Starting from the leftmost verter, moving clockwise, the vertices forming the heragon shape are: D, A, B, E, I, and F. Verter H is above and to the right of verter B. Verter G is the rightmost verter, below verter H and above verter E. Verter C is the bottommost verter, a little to the right of verter E. Undirected edges, line segments, are between the follouwing 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.
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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Discrete Mathematics
I need help with the 5 part problem
Part i
Part ii
Part iii
Part iv
Part v
Transcribed Image Text:nment.tex - TeXstudio
part
label
tiny
51
5 of 16
(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.
snhu
(v) Give an example of a circuit of length zero in the graph.
Transcribed Image Text:ignment.tex - TeXstudio
part
label
tiny
51
5 of 16
Refer to the undirected graph provided below:
C
Figure 6: An undirected graph has 9 vertices. 6 vertices form a heragon, which is
tilted upward to the right. Starting from the leftmost verter, moving clockwise, the
vertices forming the heragon shape are: D, A, B, E, I, and F. Verter H is above
and to the right of verter B. Verter G is the rightmost verter, below verter H and
above verter E. Verter C is the bottommost verter, a little to the right of verter
E. Undirected edges, line segments, are between the follouwing 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.
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