
doi: 10.37236/262
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 $k$.
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
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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