Date: 5 October 2012, 4:30pm Location: Hempfield High School, Room 213 Speaker: Mark Johnson, Pennsylvania State University Altoona Title: Wheeled Graphs Indexing Operational Structures Abstract. In joint work with Donald Yau, wheeled graphs are presented in complete and careful detail, including the fundamental operation of graph substitution. The purpose is trying to understand a wide variety of operational structures, such as operads, PROPs, properads, dioperads, ... by looking carefully at the graphs used to index them. By taking the graph theory seriously, and expanding upon the vague notion of a pasting scheme suggested by Markl, this allows us to talk about a wide variety of complicated structures in terms of fairly elementary properties of graphs.