SEMINAR: Groups and Combinatorics Seminar: Wiener dimension and Sierpinski graphs

Time and place: 16:00 Friday 29 January in Weatherburn LT

Speaker: Sara Zemljic (University of Iceland)

Title: Wiener dimension and Sierpinski graphs

Abstract: Wiener dimension is a relatively new graph invariant closely connected to the Wiener index of graphs. It is defined as the number of different (total) distances of its vertices. The (total) distance of a vertex of a graph is the sum of all the distances to that vertex. Despite a clear definition of the Wiener dimension, it is not always straightforward how to determine this dimension for some particular graphs. In this talk I will go through some known results about the Wiener dimension and mostly focus on the family of Sierpinski graphs, for which the Wiener dimension is still unknown.