Computation of Energy and Tensor Product of Graphs

Auteurs

  • Hassan Ibrahim Federal University of Lafia, Nigeria Auteur
  • Tijani Ibrahim Federal University of Lafia, Nigeria Auteur
  • David Terna Federal University of Lafia, Nigeria Auteur

DOI :

https://doi.org/10.62050/fjst2026.v10n1.645

Mots-clés :

Energy of a graph, Tensor Product, Cartesian Product, Categorial Product, Strong Product

Résumé

Graph energy has increased tremendously, and many versions of the energy have been conceived and proposed. The products of connected graphs play a vital role in the study of DNA analysis. In this paper, the adjacency energy of the tensor product, strong product, Cartesian product, and categorial product of a complete graph ???????? and a cycle graph ????????, were computed. The products ????3⊗????4, ????3⊗????3,????4⊗????4,????3⊠????4,????4⊠????4,????3×????4,????3×????3,???????????? ????4×????4 were considered. The adjacency matrix and associated eigenvalues were computed, and the relationship between the graph energies was established.

 

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Bibliographies de l'auteur

  • Hassan Ibrahim, Federal University of Lafia, Nigeria

     Department of Mathematics

  • Tijani Ibrahim, Federal University of Lafia, Nigeria

    Department of Mathematics

  • David Terna, Federal University of Lafia, Nigeria

    Department of Mathematics

Références

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Zhou, B. and Bu, C. (2012). Laplacian spectral characterization of some graphs obtained by product operation. Discrete Mathem., 312(10), 1591–1595. DOI: 10.1016/j.disc.2012.02.002

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Publiée

2026-03-10

Comment citer

Computation of Energy and Tensor Product of Graphs. (2026). FULafia Journal of Science and Technology , 10(1). https://doi.org/10.62050/fjst2026.v10n1.645

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