Question 2 Consider the following directed graph. a b e f d i h g a. Write down the adjacency matrix and adjacency lists specifying this graph. (Assume that the matrix rows and columns and vertices in the adjacency lists follow in the alphabetical order of the vertex

Computer Networking: A Top-Down Approach (7th Edition)
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ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
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Question 2
Consider the following directed graph.
a
b
e
f
d
i
h
g
a. Write down the adjacency matrix and adjacency lists specifying this graph. (Assume that the matrix
rows and columns and vertices in the adjacency lists follow in the alphabetical order of the vertex
labels.)
b. Starting at vertex a, and resolving ties by the vertex alphabetical order, traverse the graph by depth-
first-search (DFS) and construct the corresponding depth-first search tree (or forest). Give the order in
which the vertices were reached for the first time (pushed onto the traversal stack) and the order in
which the vertices became dead ends (popped off the stack).
c. Using your answer in (b), give a topological order of the vertices.
Transcribed Image Text:Question 2 Consider the following directed graph. a b e f d i h g a. Write down the adjacency matrix and adjacency lists specifying this graph. (Assume that the matrix rows and columns and vertices in the adjacency lists follow in the alphabetical order of the vertex labels.) b. Starting at vertex a, and resolving ties by the vertex alphabetical order, traverse the graph by depth- first-search (DFS) and construct the corresponding depth-first search tree (or forest). Give the order in which the vertices were reached for the first time (pushed onto the traversal stack) and the order in which the vertices became dead ends (popped off the stack). c. Using your answer in (b), give a topological order of the vertices.
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