On the restricted numerical range of the Laplacian matrix for digraphs

T. R. Cameron, M. D. Robertson, A. Wiedemann

Research output: Contribution to journalArticlepeer-review

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 languageEnglish (US)
JournalLinear and Multilinear Algebra
DOIs
StateAccepted/In press - 2020

All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory

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