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2016•Kragujevac Journal of MathematicsOpen access

The distance spectrum and energy of the median and total graphs of a cycle

G. Indulal

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Abstract

The eigenvalues of the distance matrix D - of a graph G forms the distance spectrum, D - spectrum of G. Distance energy ED, of a graph G is one of the recent energy-type invariants, defined as the absolute deviation of the eigenvalues of the distance matrix of G. In this paper the D - spectrum and energy of the median and total graph of a cycle are obtained.

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The eigenvalues of the distance matrix D - of a graph G forms the distance spectrum, D - spectrum of G. Distance energy ED, of a graph G is one of the recent energy-type invariants, defined as the absolute deviation of the eigenvalues of the distance matrix of G. In this paper the D - spectrum and energy of the median and total graph of a cycle are obtained.

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Available abstract

The eigenvalues of the distance matrix D - of a graph G forms the distance spectrum, D - spectrum of G. Distance energy ED, of a graph G is one of the recent energy-type invariants, defined as the absolute deviation of the eigenvalues of the distance matrix of G. In this paper the D - spectrum and energy of the median and total graph of a cycle are obtained.

Key concepts: Distance matrix, Mathematics, Graph energy, Eigenvalues and eigenvectors, Combinatorics, Graph, Spectrum (functional analysis), Energy spectrum

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