Geodesic
The Distance Spectrum and Energy of the Median and Total Graphs of a Cycle
Kragujevac Journal of Mathematics, Tome 40 (2016) no. 2, p. 298

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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 $E_D$, 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.
Classification : 05C12 05C50
Keywords: Distance spectrum, distance energy, median graph, total graph 
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     author = {G. Indulal},
     title = {The {Distance} {Spectrum} and {Energy} of the {Median} and {Total} {Graphs} of a {Cycle}},
     journal = {Kragujevac Journal of Mathematics},
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     publisher = {mathdoc},
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     number = {2},
     year = {2016},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KJM_2016_40_2_a12/}
}
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G. Indulal. The Distance Spectrum and Energy of the Median and Total Graphs of a Cycle. Kragujevac Journal of Mathematics, Tome 40 (2016) no. 2, p. 298 . http://geodesic.mathdoc.fr/item/KJM_2016_40_2_a12/