IMI Interdisciplinary Mathematics InstituteCollege of Arts and Sciences

The restricted numerical range of the digraph Laplacian

  • Sept. 25, 2020
  • 2:30 p.m.


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.

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