A new kind of Hermitian matrices for digraphs

In an earlier work, the author together with Guo [7] introduced the Hermitian adjacency matrix of directed (and partially directed) graphs. However, it appears that a more natural Hermitian matrix exists, and it is the purpose of this note to bring this new Hermitian matrix to the attention of resea...

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Bibliographic Details
Published inLinear algebra and its applications Vol. 584; pp. 343 - 352
Main Author Mohar, Bojan
Format Journal Article
LanguageEnglish
Published Amsterdam Elsevier Inc 01.01.2020
American Elsevier Company, Inc
Subjects
Directed graph
Graph theory
Hermitian adjacency matrix
Linear algebra
Spectral radius
Hermitian adjacency matrix
05C50
15A60
Spectral radius
Directed graph
15A18
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Summary:In an earlier work, the author together with Guo [7] introduced the Hermitian adjacency matrix of directed (and partially directed) graphs. However, it appears that a more natural Hermitian matrix exists, and it is the purpose of this note to bring this new Hermitian matrix to the attention of researchers in algebraic graph theory.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:0024-3795
1873-1856
DOI:10.1016/j.laa.2019.09.024