Zero Forcing, Inverse Eigenvalue Problems for Graphs and Transversally Intersecting Manifolds
Eigenvalues of graphs is the central theme in the proposed research. Such a research topic represents a rich blend of the study of combinatorial structures (such as graphs), and related algebraic constructs (including eigenvalues and multiplicities). The key is devising the appropriate tools and theory to advance the ideas and the subject further. This area is rich with applications from graph searching to quantum information theory to biological networks and food webs, as well as stochastic models.