Tripartite graphs with energy aggregation

  • Nawras A. Alawn University of Technology
  • Nadia M. G. Al-Saidi University of Technology
  • Rashed T. Rasheed University of Technology

Abstract

The aggregate of the absolute values of the graph eigenvalues is called the energy of a graph. It is used to approximate the total _-electron energy of molecules. Thus, finding a new mechanism to calculate the total energy of some graphs is a challenge; it has received a lot of research attention. We study the eigenvalues of a complete tripartite graph Ti,i,n−2i , for n _ 4, based on the adjacency, Laplacian, and signless Laplacian matrices. In terms of the degree sequence, the extreme eigenvalues of the irregular graphs energy are found to characterize the component with the maximum energy. The chemical HMO approach is particularly successful in the case of the total _-electron energy. We showed that some chemical components are equienergetic with the tripartite graph. This discovering helps easily to derive the HMO for most of these components despite their different structures.

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Author Biographies

Nawras A. Alawn, University of Technology

Department of Applied Sciences

Nadia M. G. Al-Saidi, University of Technology

Department of Applied Sciences

Rashed T. Rasheed, University of Technology

Department of Applied Sciences

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N. A. Alawn, M.G. Al-Saidi, R. T. Rasheed. The Energy of tripartite graph. AIP Conference Proceedings 2086, 030006, 2019. https://doi.org/10.1063/1.5095091

Published
2019-10-14