On The Energy of Some Composite Graphs

Nechirvan B. Ibrahim(1)
(1) University of Duhok

Abstract

Eigenvalues of a graph are the eigenvalues of its adjacency matrix. The energy of a graph is the sum of the absolute values of its eigenvalues, was studied by (Gutman 1978 ). This paper divided in to  three parts, in part one spectra and nullity of graphs are defined (   Brouwer  and  Haemers, 2012) and (Harary, 1969).  In the second part graph products an their spectra is studied (Shibata and Kikuchi 2000) and (Balakrishnan and Ranganathan , 2012). In the last part, we proves the energy of some graph products including Cartesian, tensor, strong, skew and inverse skew which are applied of some graphs.

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Authors

Nechirvan B. Ibrahim
juoz@uoz.edu.krd (Primary Contact)
Author Biography

Nechirvan B. Ibrahim

Dept. of Mathematics, Faculty of Science University of Duhok, Kurdistan Region-Iraq.

Ibrahim, N. B. (2018). On The Energy of Some Composite Graphs. Science Journal of University of Zakho, 3(1), 132-139. https://sjuoz.uoz.edu.krd/index.php/sjuoz/article/view/116

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How to Cite

Ibrahim, N. B. (2018). On The Energy of Some Composite Graphs. Science Journal of University of Zakho, 3(1), 132-139. https://sjuoz.uoz.edu.krd/index.php/sjuoz/article/view/116

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