What This Document Is
This document contains completed solutions for Homework Three of Oregon State University’s CS 325: Analysis of Algorithms course. It’s designed for students who have completed the assignment and are seeking to review the provided solutions for comparison with their own work. The homework focuses on Minimum Spanning Tree (MST) algorithms – Prim’s and Boruvka’s – and related theoretical concepts.
Why This Document Matters
This study guide is valuable for CS 325 students needing to check their understanding of MST algorithms and their implementations using priority queues and union-find data structures. It’s particularly useful after attempting the homework independently, as it provides a reference point for identifying areas of strength and weakness. The document is intended to be used *after* submission, as individual submissions are required for credit.
Common Limitations or Challenges
This document provides *solutions*, but does not offer detailed explanations of the underlying algorithmic concepts. It assumes a foundational understanding of Prim’s and Boruvka’s algorithms, priority queues, and union-find data structures. It will not teach you how to *derive* these solutions, only how they were *applied* in this specific instance.
What This Document Provides
The full document includes:
* Pseudocode for Prim’s MST algorithm with runtime analysis.
* Pseudocode for Boruvka’s MST algorithm with runtime analysis.
* A proof regarding the uniqueness of MSTs with unique edge weights, including a counterexample.
* Answers to true/false statements concerning graph properties and MSTs.
This preview does *not* include the complete pseudocode, proofs, or answers – only a description of the document’s contents.
