**Title:** Hidden Network Symmetries

**Abstract:** Real-world networks often have a high degree of symmetry. Understanding a network’s symmetry can often provide insight into the network’s form or function. To this end, we have proposed a novel generalization of the notion of network (graph) symmetry which we refer to as *latent symmetry*. In this talk I will define latent symmetries and present a number of examples of real and theoretical networks which contain them. I will also explain properties of latent symmetries which suggest that they are potentially useful for revealing hidden structures in networks. I will conclude my talk by making a surprise connection between latent symmetries and perfect state transfer on quantum graphs.

**Date:** Thursday, March 15, 2018

**Time:** 4:00 PM

**Room:** 135 TMCB