# CSCI 2275 – Data Structures and Algorithms Assignment 8

\$30.00

## People in Graphville

You are the mayor of Graphville. You have a list of all the people in your town. You
also know the relation between them, basically if they know each other. You need to
increase the community interaction between your constituents. Now before you do
that you need to know a lot of other details like if two people know each other
directly or through a friend or in any other way, also how many groups are there in

## What your program needs to do:

Build a graph. There is a file on canvas called people.txt that contains the names of
people and with them the names of people they know similar to an adjacency list.
When the user starts the program, read in the file and build a graph where every
person is a vertex, and there is an edge for every person they know.
For this assignment, you are building the graph and implementing functionalities
Use a command-line argument to handle the filename.

the following options:
1. Print list of people and their acquaintances
2. Print if people know each other
3. Print groups
4. Find the least number of introductions required
5. Quit

1. Print list of people. If the user selects this option, the vertices and adjacent
vertices should be displayed.

2. Print if people know each other. This option takes two vertices as user
inputs and displays True is the vertices are adjacent, and False if they are not
If this is a part of the file:
Akhil-Paramvir,Aurangzeb
Aurangzeb-Akhil,Kieran
Earl-Paramvir,Kieran,Zack
Then Earl and Zack know each other
Kieran and Aurangzeb know each other
and so on.

3. Print groups. If the user selects this option, you need to do a depth-first
search (DFS) of the graph to determine the connected people in the graph, and
assign those cities the same group ID. The connected people are the vertices that are
connected, either directly by an edge, or indirectly through another vertex. For
example, in the above example, Akhil is connected to Kieran via Aurangzeb. When
assigning group Ids, start at the first vertex and find all vertices connected to that
vertex. This is group 1. Next, find the first vertex that is not assigned to group 1. This
vertex is the first member of group 2, and you can repeat the depth-first search to
find all vertices connected to this vertex. Repeat this process until all vertices have
been assigned to a group.

4. Find the least number of introductions required- If the user selects this
option, they should be prompted for the names of two names. Your code should first
determine if they are in the same group. If the people are in different groups, print
“No way to introduce them”. If the people are in the same group, run a breadth-first
search (BFS) that returns the number of vertices to traverse along the shortest path,
and the names of the vertices along the path. For example,
For Akhil and Paramvir no one else is required as they are directly
connected. But Kieran and Akhil can be introduced via Aurangzeb.

So your output should be something like :
1, Aurangzeb
If there were N people in between then output:
N, Name1-Name2-…..-NameN
Submit it on Canvas – For any questions feel free to email the TA or Professor.