Fundamentals of Graph Theory

Applications Open: 01 October 2024

Applications Close: 15 November 2024

Next Available Intake: January 2025

Course Types: Modular Undergraduate Course

Language: English

Duration: 6 months

Fees: $1392 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

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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.

Part-time Programmes / CET Courses

Singapore University of Social Sciences

Fundamentals of Graph Theory