Topological Indices and Bounds for the Energy of Fibonacci Graph
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Fibonacci sequence of numbers plays a significant role in communication networks, coding theory, encryption and many such areas. A Fibonacci graph Fd,2n is a d regular graph where d is such that Fd is the largest Fibonacci number less than or equal to n. In this paper we present few lower and upper bounds for the energy of the Fibonacci graph in terms of n, d and the determinant of the adjacency matrix, detA. We have also investigated some topological indices for the Fibonacci graph and the obtained results are tabulated.
Abstract
Fibonacci sequence of numbers plays a significant role in communication networks, coding theory, encryption and many such areas. A Fibonacci graph Fd,2n is a d regular graph where d is such that Fd is the largest Fibonacci number less than or equal to n. In this paper we present few lower and upper bounds for the energy of the Fibonacci graph in terms of n, d and the determinant of the adjacency matrix, detA. We have also investigated some topological indices for the Fibonacci graph and the obtained results are tabulated.
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