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