# Singapore University of Social Sciences

## Fundamentals of Graph Theory (MTH366)

Applications Open: 01 October 2023

Applications Close: 15 November 2023

Next Available Intake: January 2024

Language: English

Duration: 6 months

Fees: \$1391.78 View More Details on Fees

Area of Interest: Science and Technology

Schemes: Alumni Continuing Education (ACE)

Funding: To be confirmed

School/Department: School of Science and Technology

### Synopsis

MTH366 Fundamentals of Graph Theory will introduce fundamental principles, techniques and algorithms in Graph Theory. The emphasis of the course will be on applications of the results presented to solve problems. Additionally, the course will teach students how algorithms taught in the course are implemented using Python.

Level: 3
Credit Units: 5
Presentation Pattern: EVERY JAN

### Topics

• Edges and Cycles
• Bipartite Graphs
• Trees
• Connectivity
• Eulerian Multigraphs
• Hamiltonian Graphs
• Matching
• Covering
• Independence
• Planar Graphs
• Vertex Coloring
• Digraphs

### Learning Outcome

• Show how to prove a mathematical statement in graph theory.
• Determine whether given graphs are Hamiltonian/semi-Hamiltonian, Eulerian/semi-Eulerian and/or planar.
• Calculate the chromatic number, dominance number or independence number of a given graph.
• Apply algorithms and theorems covered in the course to graph theory problems.
• Compute edge connectivity/vertex connectivity, weights of spanning trees and/or number of spanning trees of a given graph.
• Construct examples/counter-examples of graphs to given mathematical statements on graph theory.