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New Results on Zagreb Energy of Graphs

Author

Listed:
  • Seyed Mahmoud Sheikholeslami
  • Akbar Jahanbani
  • Rana Khoeilar

Abstract

Let be a graph with vertex set , and let be the degree of . The Zagreb matrix of is the square matrix of order whose - entry is equal to if the vertices and are adjacent, and zero otherwise. The Zagreb energy of is the sum of the absolute values of the eigenvalues of the Zagreb matrix. In this paper, we determine some classes of Zagreb hyperenergetic, Zagreb borderenergetic, and Zagreb equienergetic graphs.

Suggested Citation

  • Seyed Mahmoud Sheikholeslami & Akbar Jahanbani & Rana Khoeilar, 2021. "New Results on Zagreb Energy of Graphs," Mathematical Problems in Engineering, Hindawi, vol. 2021, pages 1-6, May.
    • Handle: RePEc:hin:jnlmpe:9969845
    DOI: 10.1155/2021/9969845
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    Cited by:

    1. Parikshit Das & Kinkar Chandra Das & Sourav Mondal & Anita Pal, 2024. "First zagreb spectral radius of unicyclic graphs and trees," Journal of Combinatorial Optimization, Springer, vol. 48(1), pages 1-24, August.

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