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Mathematical Communications, Vol. 13 No. 1, 2008.

Original scientific paper

On the distance spectra of some graphs

Gopalapillai Indulal ; Department of Mathematics, St.Aloysius College, Edathua, India
Ivan Gutman ; Faculty of Science, University of Kragujevac, Kragujevac, Serbia

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Abstract

The D-eigenvalues of a connected graph G are the eigenvalues of its distance matrix D, and form the D-spectrum of G. The D-energy E_{D}(G) of the graph G is the sum of the absolute values of its
D-eigenvalues. Two (connected) graphs are said to be
D-equienergetic if they have equal D-energies. The D-spectra
of some graphs and their D-energies are calculated. A pair of
D-equienergetic bipartite graphs on $24\,t$, $t \geq 3$,
vertices is constructed.

Keywords

distance eigenvalue (of a graph); distance spectrum (of a graph); distance energy (of a graph); distance--equienergetic graphs

Hrčak ID:

23569

URI

https://hrcak.srce.hr/23569

Publication date:

28.5.2008.

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