Homework Help is Here – Start Your Trial Now!
Engineering
Computer Science
A1 Write a function Connected Component (G,v) which takes as in- put a dictionary representing a graph G, and one of its vertices v, and returns a set of nodes representing the connected com- ponent of v, implementing the method given in the notes. Hint: Create and update lists called visitednodes repres- enting previously visited nodes, latestnodes representing the most recently visited nodes, and newnodes representing nodes neighbouring those in latestnodes and not included in either of the previous categories. A2 Write a function NumberOfComponents (G) which takes as in- put a dictionary representing a graph G and returns a positive integer representing its number of connected components. A3 Recall that an ordinary (unweighted) graph can be considered a weighted graph by assigning every edge weight 1. The "shortest path" from a to b in this interpretation is simply the path from a to b with the fewest edges. This makes Dijkstra's algorithm simpler as the shortest path from a to b will simply be the first one found.

A1 Write a function Connected Component (G,v) which takes as in- put a dictionary representing a graph G, and one of its vertices v, and returns a set of nodes representing the connected com- ponent of v, implementing the method given in the notes. Hint: Create and update lists called visitednodes repres- enting previously visited nodes, latestnodes representing the most recently visited nodes, and newnodes representing nodes neighbouring those in latestnodes and not included in either of the previous categories. A2 Write a function NumberOfComponents (G) which takes as in- put a dictionary representing a graph G and returns a positive integer representing its number of connected components. A3 Recall that an ordinary (unweighted) graph can be considered a weighted graph by assigning every edge weight 1. The "shortest path" from a to b in this interpretation is simply the path from a to b with the fewest edges. This makes Dijkstra's algorithm simpler as the shortest path from a to b will simply be the first one found.

C++ Programming: From Problem Analysis to Program Design
C++ Programming: From Problem Analysis to Program Design
8th Edition
ISBN:9781337102087
Author:D. S. Malik
Publisher:D. S. Malik
Chapter17: Linked Lists
Section: Chapter Questions
Problem 5SA
See similar textbooks
icon
Related questions
Question
A1 Write a function Connected Component (G,v) which takes as in- put a dictionary representing a graph G, and one of its vertices v, and returns a set of nodes representing the connected com- ponent of v, implementing the method given in the notes. Hint: Create and update lists called visitednodes repres- enting previously visited nodes, latestnodes representing the most recently visited nodes, and newnodes representing nodes neighbouring those in latestnodes and not included in either of the previous categories. A2 Write a function NumberOfComponents (G) which takes as in- put a dictionary representing a graph G and returns a positive integer representing its number of connected components. A3 Recall that an ordinary (unweighted) graph can be considered a weighted graph by assigning every edge weight 1. The "shortest path" from a to b in this interpretation is simply the path from a to b with the fewest edges. This makes Dijkstra's algorithm simpler as the shortest path from a to b will simply be the first one found.
Transcribed Image Text:A1 Write a function Connected Component (G,v) which takes as in- put a dictionary representing a graph G, and one of its vertices v, and returns a set of nodes representing the connected com- ponent of v, implementing the method given in the notes. Hint: Create and update lists called visitednodes repres- enting previously visited nodes, latestnodes representing the most recently visited nodes, and newnodes representing nodes neighbouring those in latestnodes and not included in either of the previous categories. A2 Write a function NumberOfComponents (G) which takes as in- put a dictionary representing a graph G and returns a positive integer representing its number of connected components. A3 Recall that an ordinary (unweighted) graph can be considered a weighted graph by assigning every edge weight 1. The "shortest path" from a to b in this interpretation is simply the path from a to b with the fewest edges. This makes Dijkstra's algorithm simpler as the shortest path from a to b will simply be the first one found.
Expert Solution
steps

Step by step

Solved in 2 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
C++ Programming: From Problem Analysis to Program…
C++ Programming: From Problem Analysis to Program…
Computer Science
ISBN:
9781337102087
Author:
D. S. Malik
Publisher:
Cengage Learning
New Perspectives on HTML5, CSS3, and JavaScript
New Perspectives on HTML5, CSS3, and JavaScript
Computer Science
ISBN:
9781305503922
Author:
Patrick M. Carey
Publisher:
Cengage Learning
EBK JAVA PROGRAMMING
EBK JAVA PROGRAMMING
Computer Science
ISBN:
9781337671385
Author:
FARRELL
Publisher:
CENGAGE LEARNING - CONSIGNMENT
Systems Architecture
Systems Architecture
Computer Science
ISBN:
9781305080195
Author:
Stephen D. Burd
Publisher:
Cengage Learning
C++ for Engineers and Scientists
C++ for Engineers and Scientists
Computer Science
ISBN:
9781133187844
Author:
Bronson, Gary J.
Publisher:
Course Technology Ptr
Programming Logic & Design Comprehensive
Programming Logic & Design Comprehensive
Computer Science
ISBN:
9781337669405
Author:
FARRELL
Publisher:
Cengage
SEE MORE TEXTBOOKS