Title: Distance ideals of (directed) graphs
Abstract: Distance ideals generalize the spectrum and Smith normal form of several distance matrices associated with directed graphs (digraphs). In this talk we will describe these ideals and introduce the concept of pattern which allows us to characterize the digraphs with one trivial distance ideal over the integers. This generalizes an analogous result for undirected graphs that states that connected graphs with one trivial ideal over the integers consists of either complete graphs or complete bipartite graphs.
Friday March 29th, 2024
12:00 pm – 1:00 pm
Olin Hall 109
