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Electronic Journal of Combinatorics
Article . 2009 . Peer-reviewed
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On the Energy of Unitary Cayley Graphs

On the energy of unitary Cayley graphs
Authors: Ramaswamy, H. N.; Veena, C. R.;

On the Energy of Unitary Cayley Graphs

Abstract

In this note we obtain the energy of unitary Cayley graph $X_{n}$ which extends a result of R. Balakrishnan for power of a prime and also determine when they are hyperenergetic. We also prove that ${E(X_{n})\over 2(n-1)}\geq{2^{k}\over 4k}$, where $k$ is the number of distinct prime divisors of $n$. Thus the ratio ${E(X_{n})\over 2(n-1)}$, measuring the degree of hyperenergeticity of $X_{n}$, grows exponentially with $k$.

Country
India
Keywords

energy of a graph, spectrum of a graph, Graphs and linear algebra (matrices, eigenvalues, etc.), unitary Cayley graphs, 510, Graphs and abstract algebra (groups, rings, fields, etc.), hyperenergetic graphs, Mathematics

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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!
43
Top 10%
Top 10%
Top 10%
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