Given the graph G from Question 2, using the Graph Depth-First Search with a Stack algorithm, please do the following: I Assume that the start node is 0 (e.g. node = 0). Demonstrate a step-by-step, manual desk-check execution of the DFS algorithm, showing the values of all variables and arrays (e.g. visited, S) for each step in each cycle of each loop, as demonstrated in class. [ Algorithm: Graph depth-first search with a stack. StackDFS (G, node) → visited Input: G = (V, E), a graph node, the starting vertex in G Output: visited, an array of size |V| such that visited[i] is TRUE if we have visited node i, FALSE otherwise

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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Given the graph G from Question 2, using the Graph Depth-First Search with a Stack algorithm, please
do the following:
I
Assume that the start node is 0 (e.g. node = 0). Demonstrate a step-by-step, manual desk-check
execution of the DFS algorithm, showing the values of all variables and arrays (e.g. visited, S) for each
step in each cycle of each loop, as demonstrated in class. [
Algorithm: Graph depth-first search with a stack.
StackDFS (G, node) → visited
Input: G = (V, E), a graph
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node, the starting vertex in G
Output: visited, an array of size |V| such that visited[i] is TRUE if we
have visited node i, FALSE otherwise
12
S← CreateStack()
visited CreateArray (VI)
for i0 to V do
5 Push (S, node)
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visited[i] FALSE
t
while not IsStackEmpty (S) do
c← Pop (s)
visited[c] TRUE
t
foreach v in AdjacencyList (G, c) do
if not visited[v] then
Push (S, v)
return visited
Transcribed Image Text:Given the graph G from Question 2, using the Graph Depth-First Search with a Stack algorithm, please do the following: I Assume that the start node is 0 (e.g. node = 0). Demonstrate a step-by-step, manual desk-check execution of the DFS algorithm, showing the values of all variables and arrays (e.g. visited, S) for each step in each cycle of each loop, as demonstrated in class. [ Algorithm: Graph depth-first search with a stack. StackDFS (G, node) → visited Input: G = (V, E), a graph 1 2 3 4 7 8 9 10 11 node, the starting vertex in G Output: visited, an array of size |V| such that visited[i] is TRUE if we have visited node i, FALSE otherwise 12 S← CreateStack() visited CreateArray (VI) for i0 to V do 5 Push (S, node) 6 visited[i] FALSE t while not IsStackEmpty (S) do c← Pop (s) visited[c] TRUE t foreach v in AdjacencyList (G, c) do if not visited[v] then Push (S, v) return visited
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Graph G
Transcribed Image Text:1 6 0 2 4 7 3 5 Graph G
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