Richard A. Brualdi's research interests are in combinatorics/graph theory and matrix theory, especially the interplay between the two. He also has worked on problems in coding theory, partially ordered sets, and matroid theory. His combinatorial interests are enhanced and influenced by being one of four editor-in-chiefs of the Electronic Journal of Combinatorics. His interests in matrix theory are enhanced and influenced by being one of three editor-in-chiefs of the journal "Linear Algebra and its Applications."
        In Fall 2002 he taught a graduate course on Matrix Theory. In Fall 2003 he is teaching a graduate course in Graph Theory. In Spring 2004 he will be teaching a course in Coding Theory.
        Combinatorial matrix theory is concerned with the effect of combinatorial structure on linear-algebraic properties of matrices, the investigation of combinatorial parameters on a combinatorially defined class of matrices, and the use of matrix theory in the solution of combinatorial problems. In many combinatorial problems, the only known techniques come from linear algebra