Monday, September 20, 2021

Monday, September 20, 2021 — 11:03 to 11:03 AM EDT

Title: Spectral Properties of the exponential distance matrix

Speaker: Kate Lorenzen Affiliation: Linfield University Zoom: Contact Soffia Arnadottir

Abstract:

Given a graph $G$, the exponential distance matrix is defined entry-wise by letting the $(u,v)$-entry be $q^{dist(u,v)}$ where $dist(u,v)$ is the distance between the vertices $u$ and $v$ with the convention that if vertices are in different components, then $q^{dist(u,v)}=0$. We establish several properties of the characteristic polynomial (spectrum) for this matrix and the inertia of some graph families.

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