Question

6. (Directed Graphs) The diagram below shows a directed graph. b d a c g f e (i) Use a matrix representation to represent the given digraph. (ii) What is the longest cycle in the graph? (iii) Give an example of a cycle of length 4. (iv) Give an example of a path of length 5. (v) Is there a path of length 3 from vertex d to vertex f? If so, give an example.

          6. (Directed Graphs) The diagram below shows a
directed graph.
b
d
a
c
g
f
e
(i) Use a matrix representation to represent the
given digraph.
(ii) What is the longest cycle in the graph?
(iii) Give an example of a cycle of length 4.
(iv) Give an example of a path of length 5.
(v) Is there a path of length 3 from vertex d to vertex
f? If so, give an example.

6. (Directed Graphs) The diagram below shows a
directed graph.
b
d
a
c
g
f
e
(i) Use a matrix representation to represent the
given digraph.
(ii) What is the longest cycle in the graph?
(iii) Give an example of a cycle of length 4.
(iv) Give an example of a path of length 5.
(v) Is there a path of length 3 from vertex d to vertex
f? If so, give an example.

Added by Thomas M.

Computer Science and Information Technology

Trishna Knowledge Systems 2018 Edition

Instant Answer

Solved by Expert Avi Bukys

Step 1

The rows and columns of the matrix represent the vertices of the graph, and the entries in the matrix indicate whether there is a directed edge between two vertices. The given digraph has 6 vertices labeled a, b, c, d, e, and f. Let's assign numbers to each Show more…

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Please show working, thank you! 6. (Directed Graphs) The diagram below shows a directed graph: (i) Use a matrix representation to represent the given digraph: (ii) What is the longest cycle in the graph? (iii) Give an example of a cycle of length 4_ (ivv) Give an example of a path of length 5. (v) Is there a path of length 3 from vertex d to vertex f? If SO, give an example_