On the energy of unitary cayley graphs

Ramaswamy, H. N. and Veena, C. R. (2009) On the energy of unitary cayley graphs. Electronic Journal of Combinatorics, 16 (1). ISSN 1077-8926

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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 the they are hyperenergetic. We also prove that E(X-n)/2(n-1) >= 2(k)/4k, where k is the number of distinct prime divisors of n. Thus the ratio E(X-n)/2(n-1), measuring the degree of hyperenergeticity of X-n, grows exponentially with k.

Item Type: Article
Uncontrolled Keywords: Spectrum of a graph; Energy of a graph; Unitary Cayley graphs; Hyperenergetic graphs
Subjects: E Mathematical Science > Mathematics
Divisions: Department of > Mathematics
Depositing User: Users 19 not found.
Date Deposited: 22 Aug 2019 05:35
Last Modified: 22 Aug 2019 05:35
URI: http://eprints.uni-mysore.ac.in/id/eprint/6872

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