discrete mathematics contents

Principal

contents

 

1. BASIC CONCEPTS

Sets and Sequences.

Mathematical Induction.

 

2. analysis of algorithms

Cost models.

Run-time analysis.

Big-O notation.

Complexity of algorithms and complexity of problems.

 

3. graphs

Matrix representation of a graph. Matrix adjacencies

Determination of the number of paths of length k, between two vertices

Transitive closure of an array of surroundings

Euler Paths. Fleury algorithm

Weighted Graphs. Dijkstra's algorithm

Minimum cost of generating trees. Kruskal's Algorithm

Graphs and Maps Coloring

 

4. information theory

Basic concepts

Encoding Algorithms