Abstract
In this article, 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.
Original language | English (US) |
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Pages (from-to) | 840-854 |
Number of pages | 15 |
Journal | Linear and Multilinear Algebra |
Volume | 69 |
Issue number | 5 |
DOIs | |
State | Published - 2021 |
All Science Journal Classification (ASJC) codes
- Algebra and Number Theory