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Eigenvalues of Cayley Graphs

Eigenvalues of Cayley graphs
descriptionPublicationkeyboard_double_arrow_right Article , Preprint 22 Apr 2022Embargo end date: 01 Jan 2018Publisher:The Electronic Journal of CombinatoricsJournal:The Electronic Journal of Combinatorics, volume 29 (eissn: 1077-8926, Copyright policy )Funded by:ARC | Expander graphs, isoperim...
Authors: Xiaogang Liu; Sanming Zhou;

doi: 10.37236/8569 , 10.48550/arxiv.1809.09829

arXiv: 1809.09829

Eigenvalues of Cayley Graphs

Abstract

We survey some of the known results on eigenvalues of Cayley graphs and their applications, together with related results on eigenvalues of Cayley digraphs and generalizations of Cayley graphs.

Related Organizations
Keywords

Graphs and linear algebra (matrices, eigenvalues, etc.), eigenvalues, FOS: Mathematics, Mathematics - Combinatorics, Cayley Graphs, Combinatorics (math.CO), 05C50, 05C25, Graphs and abstract algebra (groups, rings, fields, etc.)

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    selected citations
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    This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    		 12
    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
    		 Top 10%
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    		 Top 10%
    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
    		 Top 10%
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
12
Top 10%
Top 10%
Top 10%
Green
gold