IMI Interdisciplinary Mathematics InstituteCollege of Arts and Sciences
add to google calendar

The restricted numerical range of the digraph Laplacian

  • Oct. 16, 2020
  • 2:30 p.m.

Abstract

In this talk, we present the restricted numerical for the Laplacian matrix of a directed graph (digraph). We motivate our interest in the restricted numerical range by its close connection to the algebraic connectivity of a digraph. Moreover, we show that the restricted numerical range can be used to characterize digraphs, some of which are not determined by their Laplacian spectrum. Finally, we identify a new class of digraphs that are characterized by having a real restricted numerical range, and look to current/future work.

© Interdisciplinary Mathematics Institute | The University of South Carolina Board of Trustees | Webmaster
USC