HW8

Due Date: April 1, before midnight (11:59:59PM)

This assignment comprises both written questions and implementation-based lab.

HW8

Answer the following questions from the DPV book i) Q5.2 ii) Q5.3, iii) Q5.5, iv) Q5.18a,b,d.

Lab8: Kruskal's Algorithm and Union-Find Data Structure

Implement Kruskal's algorithm described in Fig 5.4. You must implement your own union-find data structure for supporting the find and union operations as described in section 5.1.4. You should also implement the path compression for find. You cannot use any other python module or data structure other than list, set or dict.

You should run your code on the following three undirected graphs (zipped): graphs.zip; right click and save as. Each line in a file is a source-target-weight triple separated by spaces.

Your code should print out only the weight of the MST and the maximum rank of the root node, and the maximum height of the root node in the final MST (do not print the actual MST edges). Compare the time, rank, and height with and without path compression.

Grading

Use submitty to submit a PDF with the output and one .py script.

Policy on Academic Honesty

You are free to discuss how to tackle the assignment, but all coding must be your own. Please do not copy or modify code from anyone else, including code on the web. Any students caught violating the academic honesty principle will get an automatic F grade on the course and will be referred to the dean of students for disciplinary action.