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Electronic Journal of Combinatorics
Article . 2011 . Peer-reviewed
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Article . 2011
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Article . 2011
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Integral Quartic Cayley Graphs on Abelian Groups

Integral quartic Cayley graphs on Abelian groups
Authors: Alireza Abdollahi; Ebrahim Vatandoost;

Integral Quartic Cayley Graphs on Abelian Groups

Abstract

A graph is called integral, if its adjacency eigenvalues are integers. In this paper we determine integral quartic Cayley graphs on finite abelian groups. As a side result we show that there are exactly $27$ connected integral Cayley graphs up to $11$ vertices.

Related Organizations
Keywords

Graphs and linear algebra (matrices, eigenvalues, etc.), Graphs and abstract algebra (groups, rings, fields, etc.)

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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!
3
Average
Average
Average
gold