My research is broadly focused on describing structures within graphs or networks and exploiting those structures to answer questions about the overall network. In his research, graphs or networks are systems of nodes with links (or edges) connecting them. Examples are all around including computer networks, electrical circuits, social networks, organizational networks, chemical reactions and molecular structures. Abstract network models can also be applied to solve scheduling, matching, epidemiology and diffusion problems.
In particular, my research deals with graph decompositions, tree-structures, surface embeddings and minor- and topological-inclusions of graphs. One current project is to show that short-chained, bounded tree-width graphs are well-quasi-ordered under topological inclusion.
I teach on the OSU Marion campus.