A. order. Below, when you generate a forest, the root vertices of trees should follow this order. Assume he adjacency list representation where lists are in ascending order of the connected vertices. Consider the dgraph below. Assume that vertices are stored in an array in ascending 10 Draw the DFS forest. You do not need to write (dtime, ftime] intervals. For each graph edge that is not on a DFS tree of the forest, indicate its type: a forward edge, a back edge, or a cross edge. Show the strongly connected components (SCCS) of the graph above by drawing a component graph. Recall that a component graph of a graph G is a DAG where each node is a SCC of G and cach direeted edge represents a one way sonneetion between two componenta. You do not need to show how you derived your answer. (Hint: You can construct the answer manually.) 3. ource vertex a. Recall that the algorithm either reports "negative-weight cycle" or generates a 1.dist value for each node u of the given graph. You can adopt any order of edges in your work, out the result will be the same. You need not show how you derived your answer. Show the result of applying the Bellman-Ford algorithm to the dgraph below for

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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А.
Consider the dgraph below. Assume that vertices are stored in an array in ascending
order. Below, when you generate a forest, the root vertices of trees should follow this order. Assume
the adjacency list representation where lists are in ascending order of the connected vertices.
10
Draw the DFS forest. You do not need to write (dtime, ftime] intervals. For each
graph edge that is not on a DFS tree of the forest, indicate its type: a forward edge, a back
edge, or a cross edge.
Show the strongly connected components (SCCS) of the graph above by drawing a
component graph. Recall that a component graph of a graph G is a DAG where each node is a
SCC of G and cach directed odge representa a one way connection between two componenta.
You do not need to show how you derived your answer. (Hint: You can construct the answer
manually.)
В.
Show the result of applying the Bellman-Ford algorithm to the dgraph below for
source vertex a. Recall that the algorithm either reports "negative-weight cycle" or generates a
u.dist value for each node u of the given graph. You can adopt any order of edges in your work,
but the result will be the same. You need not show how you derived your answer.
5
Transcribed Image Text:А. Consider the dgraph below. Assume that vertices are stored in an array in ascending order. Below, when you generate a forest, the root vertices of trees should follow this order. Assume the adjacency list representation where lists are in ascending order of the connected vertices. 10 Draw the DFS forest. You do not need to write (dtime, ftime] intervals. For each graph edge that is not on a DFS tree of the forest, indicate its type: a forward edge, a back edge, or a cross edge. Show the strongly connected components (SCCS) of the graph above by drawing a component graph. Recall that a component graph of a graph G is a DAG where each node is a SCC of G and cach directed odge representa a one way connection between two componenta. You do not need to show how you derived your answer. (Hint: You can construct the answer manually.) В. Show the result of applying the Bellman-Ford algorithm to the dgraph below for source vertex a. Recall that the algorithm either reports "negative-weight cycle" or generates a u.dist value for each node u of the given graph. You can adopt any order of edges in your work, but the result will be the same. You need not show how you derived your answer. 5
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