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arXiv.org e-Print Archive
Preprint . 2024
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On prime Cayley graphs

descriptionPublicationkeyboard_double_arrow_right Preprint 11 Jan 2024Funded by:NSERC | unidentified
Authors: Chudnovsky, Maria; Cizek, Michal; Crew, Logan; Mináč, Ján; Nguyen, Tung T.; Spirkl, Sophie; Tân, Nguyên Duy;

arXiv: 2401.06062

On prime Cayley graphs

Abstract

The decomposition of complex networks into smaller, interconnected components is a central challenge in network theory with a wide range of potential applications. In this paper, we utilize tools from group theory and ring theory to study this problem when the network is a Cayley graph. In particular, we answer the following question: Which Cayley graphs are prime?

Keywords

Mathematics - Combinatorics, Mathematics - Group Theory

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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!
0
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