Given the graph G from Question 2, using the Graph Breadth-First Search algorithm with a Queue, please do the following: Assume that the start node is 4 (e.g. node = 4). Demonstrate a step-by-step, manual desk-check execution of the BFS algorithm, showing the values of all variables and arrays (e.g. visited, inqueue, Q) for each step in each cycle of each loop, as demonstrated in class. [ Algorithm: Graph breadth-first search BFS (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 1 Q-CreateQueue () 2 - visited CreateArray (VI) inqueue CreateArray (VI) 3 t 4 for i0 to IV do

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
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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Question
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Graph G
Transcribed Image Text:1 6 0 2 4 7 3 5 Graph G
Given the graph G from Question 2, using the Graph Breadth-First Search algorithm with a Queue,
please do the following:
Assume that the start node is 4 (e.g. node = 4),
Demonstrate a step-by-step, manual desk-check execution of the BFS algorithm, showing the values of
all variables and arrays (e.g. visited, inqueue, Q) for each step in each cycle of each loop, as
demonstrated in class. [
Algorithm: Graph breadth-first search
BFS (G, node) →visited
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Input: G = (V, E), a graph
node, the starting vertex in G
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2 visited CreateArray (VI)
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Output: visited, an array of size [V] such that visited[i] is TRUE if we
have visited node i, FALSE otherwise
Q-CreateQueue ()
-
inqueue - CreateArray (VI)
for i0 to VI do
t
visited[i] FALSE
inqueue[i] FALSE
7 Enqueue (Q, node)
8
t
inqueue[node] <-TRUE
while not IsQueueEmpty (Q) do
c← Dequeue (Q)
inqueue[c] FALSE
visited[c] TRUE
t
foreach v in AdjacencyList (G, c) do
if not visited[v] and not inqueue[v] then
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17 return visited
t
Enqueue (Q, v)
inqueue[v] - TRUE
Transcribed Image Text:Given the graph G from Question 2, using the Graph Breadth-First Search algorithm with a Queue, please do the following: Assume that the start node is 4 (e.g. node = 4), Demonstrate a step-by-step, manual desk-check execution of the BFS algorithm, showing the values of all variables and arrays (e.g. visited, inqueue, Q) for each step in each cycle of each loop, as demonstrated in class. [ Algorithm: Graph breadth-first search BFS (G, node) →visited 3 4 5 6 Input: G = (V, E), a graph node, the starting vertex in G 1 2 visited CreateArray (VI) 10 11 Output: visited, an array of size [V] such that visited[i] is TRUE if we have visited node i, FALSE otherwise Q-CreateQueue () - inqueue - CreateArray (VI) for i0 to VI do t visited[i] FALSE inqueue[i] FALSE 7 Enqueue (Q, node) 8 t inqueue[node] <-TRUE while not IsQueueEmpty (Q) do c← Dequeue (Q) inqueue[c] FALSE visited[c] TRUE t foreach v in AdjacencyList (G, c) do if not visited[v] and not inqueue[v] then 12 13 14 15 16 17 return visited t Enqueue (Q, v) inqueue[v] - TRUE
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