Appears in collection : Matrices, Graph Labelings, and Ramsey Numbers

In this course, we will explore the use of matrices in two topics in graph theory: graph labeling and the Ramsey number. In the first part of the course, we shall see how the two matrices: magic rectangles and completely separating sets, are utilized to construct distance magic and distance antimagic graphs, respectively. In the last part of the course, the Hadamard matrices will be utilized to provide bounds for multipartite Ramsey numbers.