CSC 565 Graph Theory

3 Credit Hours

Basic concepts of graph theory. Trees and forests. Vector spaces associated with a graph. Representation of graphs by binary matrices and list structures. Traversability. Connectivity. Matchings and assignment problems. Planar graphs. Colorability. Directed graphs. Applications of graph theory with an emphasis on organizing problems in a form suitable for computer solutions.

Prerequisite

Discrete Mathematics (NC State CSC 226) OR Introduction to Discrete Mathematical Models (NC State MA 351)

Learning Outcomes

By the end of the course, students will be able to:

1. Use the vocabulary of graph theory to describe a range of natural problems.
2. Model newly encountered questions as graphs problems.
3. Identify the differences between the combinatorial, geometric, topological, computational, and algebraic aspects of graph theory in general as well as in specific graph questions.

Grade Components

Textbook readings    15%
Homeworks                40%
Quizzes                       15%
Final exam                  30%

Textbook

A draft of _Graph Theory Across Categories_ By Donald R. Sheehy will be provided to students in digital form at no cost to students.

Updated 8/21/2024