listOfNodes(G): This function will take a graph G as a parameter and return a List of the Nodes in the graph G. [е, 1, 2, 3, 4, 5] G = { e: [(1, 1), (2, 1)], 1: [(2, 1), (3, 1)], 2: [(4, 1)], 3: [(4, 1), (5, 1)], 4: [(5, 1)], 5: [) print(list0fNodes(G)) listOfEdges(G, directed = False): This function will take a graph G as a parameter and return a List of the Edges in the graph G. ((е, 1, 1), (@, 2, 1), (1, 2, 1), (1, 3, 1), (2, 4, 1), (3, 4, 1), |(3, 5, 1), (4, 5, 1)] G - { e: [(1, 1), (2, 1)], 1: [(2, 1), (3, 1)], 2: [(4, 1)], 3: [(4, 1), (5, 1)], 4: [(5, 1)], 5: [] } print(list0fEdges(G, True)) G - { e: [(1, 1), (2, 1)], 1: [(0, 1), (2, 1), (3, 1)], 2: [(0, 1), (1, 1), (4, 1)], 3: [(1, 1), (4, 1), (5, 1)], 4: [(3, 1), (2, 1), (5, 1)], 5: [(3, 1), (4, 1)] ((е, 1, 1), (@, 2, 1), (1, 2, 1), (1, 3, 1), (2, 4, 1), (3, 4, 1), |(3, 5, 1), (4, 5, 1)] print(list0fEdges(G, False))

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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Create following helper functions which would be used in exercise given below (python 3)

listOfNodes(G): This function will take a graph G as a parameter and return a List of the Nodes in
the graph G.
|[е, 1, 2, 3, 4, 5]
G = {
0: [(1, 1), (2, 1)],
1: [(2, 1), (3, 1)],
2: [(4, 1)],
3: [(4, 1), (5, 1)],
4: [(5, 1)],
5: []
print(list0fNodes(G))
listOfEdges(G, directed = False): This function will take a graph G as a parameter and return a
List of the Edges in the graph G.
[(е, 1, 1), (@, 2, 1), (1, 2, 1), (1,
3, 1), (2, 4, 1), (3, 4, 1),
(3, 5, 1), (4, 5, 1)]
G = {
e: [(1, 1), (2, 1)],
1: [(2, 1), (3, 1)],
2: [(4, 1)],
3: [(4, 1), (5, 1)],
4: [(5, 1)],
5: []
}
print(list0fEdges(G, True))
[(е, 1, 1), (@, 2, 1), (1, 2, 1), (1,
3, 1), (2, 4, 1), (3, 4, 1),
(3, 5, 1), (4, 5, 1)]
{
0: [(1, 1), (2, 1)],
1: [(0, 1), (2, 1), (3, 1)],
2: [(0, 1), (1, 1), (4, 1)],
3: [(1, 1), (4, 1), (5, 1)],
4: [(3, 1), (2, 1), (5, 1)],
5: [(3, 1), (4, 1)]
IG =
print(list0fEdges(G, False))
Transcribed Image Text:listOfNodes(G): This function will take a graph G as a parameter and return a List of the Nodes in the graph G. |[е, 1, 2, 3, 4, 5] G = { 0: [(1, 1), (2, 1)], 1: [(2, 1), (3, 1)], 2: [(4, 1)], 3: [(4, 1), (5, 1)], 4: [(5, 1)], 5: [] print(list0fNodes(G)) listOfEdges(G, directed = False): This function will take a graph G as a parameter and return a List of the Edges in the graph G. [(е, 1, 1), (@, 2, 1), (1, 2, 1), (1, 3, 1), (2, 4, 1), (3, 4, 1), (3, 5, 1), (4, 5, 1)] G = { e: [(1, 1), (2, 1)], 1: [(2, 1), (3, 1)], 2: [(4, 1)], 3: [(4, 1), (5, 1)], 4: [(5, 1)], 5: [] } print(list0fEdges(G, True)) [(е, 1, 1), (@, 2, 1), (1, 2, 1), (1, 3, 1), (2, 4, 1), (3, 4, 1), (3, 5, 1), (4, 5, 1)] { 0: [(1, 1), (2, 1)], 1: [(0, 1), (2, 1), (3, 1)], 2: [(0, 1), (1, 1), (4, 1)], 3: [(1, 1), (4, 1), (5, 1)], 4: [(3, 1), (2, 1), (5, 1)], 5: [(3, 1), (4, 1)] IG = print(list0fEdges(G, False))
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