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The D-eigenvalues of a graph G are the eigenvalues of its distance matrix D , and the D-energy E D (G) is the sum of the absolute values of its D-eigenvalues. Two graphs are said to be D-equienergetic if they have the same D-energy. In this note we obtain bounds for the distance spectral radius and D-energy of graphs of diameter 2. Pairs of equiregular… (More)

Distance energy of a graph G is a recent energy-type invariants, defined as the absolute deviation of the eigenvalues of the distance matrix of G. It is a useful molecular descriptor in QSPR modelling, as demonstrated by Consonni and Todeschini in We describe here the distance spectrum and energy of the join-based compositions of regular graphs in the terms… (More)

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