We can define a directed graph by ordering its nodes and arcs. First consider a TXT file in which nodes of string type are given, followed by arcs in sequential triples and associated weights. For example: B A D C (C, D, 1) (A, B, 1) (B, D, 3) (B, C, 0) (A, C, 2) The program* can read any (directional) line given in this format and tell whether the (directed) graph contains cycles, order the nodes of an acyclic graph topologically, calculate the shortest distance between any two given nodes of an acyclic graph (if there is a path between these two nodes) under the assumption that arc weights are not negative. (Dijkstra algorithm) For example, the graph given above is acyclic; topological order of nodes as A, B, C, D ; Shortest distance 1 for start node A and end node C. PLEASE EXPLAIN ANY CODE YOU HAVE WRITTE
We can define a directed graph by ordering its nodes and arcs. First consider a TXT file in which nodes of string type are given, followed by arcs in sequential triples and associated weights. For example: B A D C (C, D, 1) (A, B, 1) (B, D, 3) (B, C, 0) (A, C, 2) The program* can read any (directional) line given in this format and tell whether the (directed) graph contains cycles, order the nodes of an acyclic graph topologically, calculate the shortest distance between any two given nodes of an acyclic graph (if there is a path between these two nodes) under the assumption that arc weights are not negative. (Dijkstra algorithm) For example, the graph given above is acyclic; topological order of nodes as A, B, C, D ; Shortest distance 1 for start node A and end node C. PLEASE EXPLAIN ANY CODE YOU HAVE WRITTE
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
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
We can define a directed graph by ordering its nodes and arcs. First consider a TXT file in which nodes of string type are given, followed by arcs in sequential triples and associated weights.
For example:
B
A
D
C
(C, D, 1)
(A, B, 1)
(B, D, 3)
(B, C, 0)
(A, C, 2)
The program* can read any (directional) line given in this format and
- tell whether the (directed) graph contains cycles,
- order the nodes of an acyclic graph topologically,
- calculate the shortest distance between any two given nodes of an acyclic graph (if there is a path between these two nodes) under the assumption that arc weights are not negative. (Dijkstra
algorithm )
For example, the graph given above is acyclic; topological order of nodes as A, B, C, D ; Shortest distance 1 for start node A and end node C.
PLEASE EXPLAIN ANY CODE YOU HAVE WRITTEN.
*This program can be Python code or R code.
![Python Code
We can define a directed graph by ordering its nodes and arcs. First consider a TXT file in which
nodes of string type are given, followed by arcs in sequential triples and associated weights.
For example:
B
A.
(C, D, 1)
(А, В, 1)
(B, D, 3)
(В, С, 0)
(A, C, 2)
The program* can read any (directional) line given in this format and
• tell whether the (directed) graph contains cycles,
• order the nodes of an acyclic graph topologically,
• calculate the shortest distance between any two given nodes of an acyclic graph (if there is a path
between these two nodes) under the assumption that arc weights are not negative. (Dijkstra
algorithm)
For example, the graph given above is acyclic; topological order of nodes as A, B, C, D; Shortest
distance 1 for start node A and end node C.
*This program can be Python code.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd15ffe2b-ab3a-48c2-91fd-ce470100553b%2F791a3c8b-4ef5-4367-bd1e-3ad2dd19590a%2Fwv0juxk_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Python Code
We can define a directed graph by ordering its nodes and arcs. First consider a TXT file in which
nodes of string type are given, followed by arcs in sequential triples and associated weights.
For example:
B
A.
(C, D, 1)
(А, В, 1)
(B, D, 3)
(В, С, 0)
(A, C, 2)
The program* can read any (directional) line given in this format and
• tell whether the (directed) graph contains cycles,
• order the nodes of an acyclic graph topologically,
• calculate the shortest distance between any two given nodes of an acyclic graph (if there is a path
between these two nodes) under the assumption that arc weights are not negative. (Dijkstra
algorithm)
For example, the graph given above is acyclic; topological order of nodes as A, B, C, D; Shortest
distance 1 for start node A and end node C.
*This program can be Python code.
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