IDEAS home Printed from https://ideas.repec.org/a/wly/jjmath/v2022y2022i1n5770509.html

Nirmala and Banhatti‐Sombor Index over Tensor and Cartesian Product of Special Class of Semigroup Graphs

Author

Listed:
  • Seda Oğuz Ünal

Abstract

The Nirmala and first Banhatti‐Sombor index which is originated from Sombor index is designated by NG=∑uv∈EGdu+dv and BSO1G=∑uv∈EG1/du2+dv2, respectively. In this work, we calculated the Nirmala and Banhatti‐Sombor index over the tensor and Cartesian product of a graph of an algebraic structure by presenting two different algorithms.

Suggested Citation

  • Seda Oğuz Ünal, 2022. "Nirmala and Banhatti‐Sombor Index over Tensor and Cartesian Product of Special Class of Semigroup Graphs," Journal of Mathematics, John Wiley & Sons, vol. 2022(1).
    • Handle: RePEc:wly:jjmath:v:2022:y:2022:i:1:n:5770509
    DOI: 10.1155/2022/5770509
    as

    Download full text from publisher

    File URL: https://doi.org/10.1155/2022/5770509
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2022/5770509?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    References listed on IDEAS

    as
    1. Cruz, Roberto & Gutman, Ivan & Rada, Juan, 2021. "Sombor index of chemical graphs," Applied Mathematics and Computation, Elsevier, vol. 399(C).
    2. Shang, Yilun, 2022. "Sombor index and degree-related properties of simplicial networks," Applied Mathematics and Computation, Elsevier, vol. 419(C).
    3. Seda OÄŸuz Ãœnal & R. Vadivel, 2021. "An Application of Sombor Index over a Special Class of Semigroup Graph," Journal of Mathematics, Hindawi, vol. 2021, pages 1-6, November.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Kalpana R. & Shobana L., 2025. "Harmonic‐Arithmetic Index: Lower Bound for n‐Order Trees With Fixed Number of Pendant Vertices and Monogenic Semigroup for Graph Operations," International Journal of Mathematics and Mathematical Sciences, John Wiley & Sons, vol. 2025(1).

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Das, Kinkar Chandra, 2024. "Open problems on Sombor index of unicyclic and bicyclic graphs," Applied Mathematics and Computation, Elsevier, vol. 473(C).
    2. Zhang, Weilin & You, Lihua & Liu, Hechao & Huang, Yufei, 2021. "The expected values and variances for Sombor indices in a general random chain," Applied Mathematics and Computation, Elsevier, vol. 411(C).
    3. Cruz, Roberto & Rada, Juan & Sigarreta, José M., 2021. "Sombor index of trees with at most three branch vertices," Applied Mathematics and Computation, Elsevier, vol. 409(C).
    4. Kinkar Chandra Das & Yilun Shang, 2021. "Some Extremal Graphs with Respect to Sombor Index," Mathematics, MDPI, vol. 9(11), pages 1-15, May.
    5. Akbar Ali & Abdulaziz M. Alanazi & Taher S. Hassan & Yilun Shang, 2024. "On Unicyclic Graphs with a Given Number of Pendent Vertices or Matching Number and Their Graphical Edge-Weight-Function Indices," Mathematics, MDPI, vol. 12(23), pages 1-12, November.
    6. Li, Shuchao & Wang, Zheng & Zhang, Minjie, 2022. "On the extremal Sombor index of trees with a given diameter," Applied Mathematics and Computation, Elsevier, vol. 416(C).
    7. Mondal, Sourav & Das, Kinkar Chandra, 2024. "Complete solution to open problems on exponential augmented Zagreb index of chemical trees," Applied Mathematics and Computation, Elsevier, vol. 482(C).
    8. Das, Kinkar Chandra & Gutman, Ivan, 2022. "On Sombor index of trees," Applied Mathematics and Computation, Elsevier, vol. 412(C).
    9. Zhao, Shangrun & Ling, Guang & Zhao, Pei & Ge, Ming-Feng, 2025. "Robustness of interdependent networks with implicit higher-order support and dependency mitigation mechanisms," Chaos, Solitons & Fractals, Elsevier, vol. 200(P2).
    10. Rada, Juan & Rodríguez, José M. & Sigarreta, José M., 2024. "Sombor index and elliptic Sombor index of benzenoid systems," Applied Mathematics and Computation, Elsevier, vol. 475(C).
    11. Sun, Xiaoling & Du, Jianwei, 2022. "On Sombor index of trees with fixed domination number," Applied Mathematics and Computation, Elsevier, vol. 421(C).
    12. Bilal Ahmad Rather & Muhammad Imran & Adama Diene, 2026. "On spectral spread and trace norm of Sombor matrix," Indian Journal of Pure and Applied Mathematics, Springer, vol. 57(2), pages 279-292, April.
    13. Akbar Ali & Abeer M. Albalahi & Abdulaziz M. Alanazi & Akhlaq A. Bhatti & Tariq Alraqad & Hicham Saber & Adel A. Attiya, 2024. "On Bond Incident Degree Indices of Fixed-Size Bicyclic Graphs with Given Matching Number," Mathematics, MDPI, vol. 12(23), pages 1-14, December.
    14. Chen, Meng & Zhu, Yan, 2024. "Extremal unicyclic graphs of Sombor index," Applied Mathematics and Computation, Elsevier, vol. 463(C).

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:wly:jjmath:v:2022:y:2022:i:1:n:5770509. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Wiley Content Delivery (email available below). General contact details of provider: https://onlinelibrary.wiley.com/journal/1469 .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.