This course provides a comprehensive exploration of graph theory, covering foundational concepts, algebraic techniques, and spectral analysis. Students will delve into the history and development of graph theory, understand formal definitions of graphs, and learn about various graph structures and their applications. Algebraic concepts such as eigenvalues, eigenvectors, and the graph Laplacian will be introduced, along with their significance in analysing graph properties. The course will also cover clustering coefficients and their role in quantifying graph connectivity. Through lectures, discussions, and hands-on exercises, students will develop a deep understanding of graph theory and its applications in diverse fields.
- Teacher: أ.هيام عمر عباس علي FMST