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Distance and Adjacency Energies of Multi-Level Wheel Networks

Author

Listed:
  • Jia-Bao Liu

    (School of Mathematics and Physics, Anhui Jianzhu University, Hefei 230601, China)

  • Mobeen Munir

    (Department of Mathematics, Division of Science and Technology, University of Education, Lahore 54000, Pakistan)

  • Amina Yousaf

    (Department of Mathematics, Division of Science and Technology, University of Education, Lahore 54000, Pakistan)

  • Asim Naseem

    (Department of Mathematics, Government College University Lahore, Lahore 54000, Pakistan)

  • Khudaija Ayub

    (Department of Mathematical Sciences, Federal Urdu University of Science and Technology, Karachi 75270, Pakistan)

Abstract

Energies of molecular graphs have various applications in chemistry, polymerization, computer networking and pharmacy. In this paper, we give general closed forms of distance and adjacency energies of generalized wheel networks W n , m . Consequently, we give these results for classical wheel graphs. We also give pictorial dependencies of energies on the involved parameters m ≥ 3 and n .

Suggested Citation

  • Jia-Bao Liu & Mobeen Munir & Amina Yousaf & Asim Naseem & Khudaija Ayub, 2019. "Distance and Adjacency Energies of Multi-Level Wheel Networks," Mathematics, MDPI, vol. 7(1), pages 1-9, January.
    • Handle: RePEc:gam:jmathe:v:7:y:2019:i:1:p:43-:d:194909
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    References listed on IDEAS

    as
    1. Liu, Jia-Bao & Pan, Xiang-Feng, 2015. "Asymptotic incidence energy of lattices," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 422(C), pages 193-202.
    2. Liu, Jia-Bao & Pan, Xiang-Feng & Hu, Fu-Tao & Hu, Feng-Feng, 2015. "Asymptotic Laplacian-energy-like invariant of lattices," Applied Mathematics and Computation, Elsevier, vol. 253(C), pages 205-214.
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