# Algorithms and Data Structures: 2024-2025

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| Part A — Computer Science and Philosophy |

| Hilary Term 2025 (16 lectures) |

## Overview

This course builds on the first-year Design and Analysis of Algorithms course. It introduces students to a number of highly efficient algorithms and data structures for fundamental computational problems across a variety of areas. Students are also introduced to techniques such as amortised complexity analysis. As in the first-year course, the style of the presentation is rigorous but not formal.

## Learning outcomes

On successful completion of the course students will:

- Be able to analyse and use some fundamental data structures, such as binary search trees and disjoint sets
- Understand the implementation, complexity analysis and applications of fundamental algorithms such as max flow and linear programming
- Have familiarity with randomised algorithms, approximation algorithms, and fixed-parameter algorithms

## Syllabus

- Amortised analysis
- Disjoint sets / union-find
- Binary search trees (Red-Black trees, splay trees)
- Max flow and min cut in networks; applications
- Linear programming
- NP-hardness
- Approximation algorithms
- Fixed-parameter tractability
- Exponential algorithms

## Reading list

The main text used in the course is:

- Thomas Cormen, Charles Leiserson, Ronald Rivest and Clifford Stein,
*Introduction to Algorithms*, MIT Press, 2009 (third edition).

Other useful textbooks that cover some of the material are

- S. Dasgupta, C.H. Papadimitriou, and U. V. Vazirani,
*Algorithms*, Mcgraw-Hill, 2006. - J. Kleinberg and E. Tardos,
*Algorithm Design,*Addison-Wesley*,*2006. - V. Vazirani,
*Approximation Algorithms*, Springer, 2001

## Taking our courses

**This form is not to be used by students studying for a degree in the
Department of Computer Science, or for Visiting Students who are registered for
Computer Science courses**

Other matriculated University of Oxford students who are interested in taking this, or other, courses in the Department of Computer Science, must complete this online form by 17.00 on Friday of 0th week of term in which the course is taught. Late requests, and requests sent by email, will not be considered. All requests must be approved by the relevant Computer Science departmental committee and can only be submitted using this form.