On October 24, 2023, Robert Hickingbotham from Monash University gave a talk at the Discrete Math Seminar on the existence of a partition of a planar graph into connected induced subgraphs of bounded size so that all long paths intersect some part more than once and its application to k-planar graphs and powers of planar graphs. The title of his talk was “Powers of planar graphs, product structure, and blocking partitions“.