COMP3023 Design and Analysis of Algorithms

Fall 2023

Programming Assignment

Submission by Dec. 6, 2023

Instructions:

Write a program that can return any three of the following four artifacts from a given weighted,

undirected graph: (Note each numbered item is considered as one artifact.)

1. A Depth-First Search (DFS) Tree (Lecture06)

2. All its Articulation Points (AP) and Biconnected Components (BC) (Lecture06)

3. A Minimum Spanning Tree (MST), using Kruskal’s Algorithm (Lecture08)

4. The Shortest Path Tree (SPT), using Dijkstra’s Algorithm (Lecture09)

The input to your program is a data file named graph.txt, which specifies 1) the number of vertices

(int), 2) the number of edges (int), 3) each edge’s two vertices and its weight (int). A sample input file

is shown in Figure 1, along with the actual graph that it represents:

6

8

0, 1, 3

0, 2, 3

0, 3, 4

1, 3, 3

2, 3, 2

3, 4, 4

3, 5, 2

4, 5, 4

Figure 1 A sample input file with the graph it represents

Your program shall read the file name from keyboard, read the graph information from the file, run

the above-mentioned four algorithms, and display the results on the console. Your program shall

repeatedly ask for an input data file until the user press "CTRL+Z". A sample of console output is given on the

next page, in Figure 2.

Submission:

1. Please write your program in C or C++.

Put all your code in one single file and name it PA_#######.cpp, where ####### is your

student ID.

Build an executable file and name it PA_#######.exe.

Pack the .cpp and .exe files into a zip file and name it PA_#######.zip.

2. Please make sure your program can be executed. An unexecutable program will

automatically yield a grade of zero.

1 4

3 3 4

0 4 3 4

3 2 2

2 5

2

***************

Input the file name:

graph.txt

***************

1. The following are the edges in the constructed DFS Tree

0--1 1--3 2--3 3--4 4--5

***************

2. The articulation point(s) found in the given graph is/are:

Vertex 3

The biconnected component(s) found in the given graph is/are:

0--1 0--2 0--3 1--3 2--3

3--4 3--5 4--5

***************

3. The following are the edges in the constructed MST:

0--1 1--3 2--3 3--4 3--5

***************

4. The following are the edges in the constructed SPT:

0--1 0--2 0--3 3--4 3--5

***************

Input the file name:

3. Comment your code when appropriate. Inside the comments, you are responsible of

providing a full disclosure of all external reference materials that you have used, such as

links to a public webpage, a video tutorial, or even a public repository. Failing to do so may

yield a penalty.

4. Reusing another student’s program is strictly prohibited. Plagiarism checking will be

conducted prior to grading. Any case of violation of UIC’s honor code will yield a grade of

zero and a report to Student Affairs Office.

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