International Journal of Neutrosophic Science

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https://doi.org/10.54216/IJNS

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Volume 26 , Issue 4 , PP: 174-183, 2025 | Cite this article as | XML | Html | PDF | Full Length Article

A Simplical Complex-Based Kernel Estimation Method for Cracking Higher-Order Graph Structures in Cell Complex Topology

Eman Almuhur 1 * , Nabeela Abu-Al Kishik 2 , Hamza Qoqazeh 3 , Ali Atoom 4 , Manal Al-Labadi 5 , Wasim Audeh 6

  • 1 Department of Mathematics, Applied Science Private University, Jordan - (e_almuhur@asu.edu.jo)
  • 2 Department of Mathematics, Jerash University, Jordan - (Nabeelakishik@yahoo.com)
  • 3 Department of Mathematics, Irbid National University, Jordan - (hhaaqq983@gmail.com)
  • 4 Department of Mathematics, Ajloun National University, Jordan - (aliatoom@anu.edu.jo)
  • 5 Department of Mathematics, University of Petra, Jordan - (manal.allabadi@uop.edu.jo)
  • 6 Department of Mathematics, University of Petra, Jordan - (waudeh@uop.edu.jo)
  • Doi: https://doi.org/10.54216/IJNS.260417

    Received: March 07, 2025 Revised: May 09, 2025 Accepted: June 09, 2025
    Abstract

    The primary goal of the article is to examine the data s shape and crack higher-order graph structures in cell complex topology. Further simplical complex-based kernel estimation methods are explored and discussed.

    Keywords :

    Simplicial complex , Euler characteristic , Simplicial homology , Cell complex topology

    References

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    [2] Edelsbrunner, H., Harer, J. (2010). Computational topology: an introduction. American Mathematical Society.

    [3] Bertrand, J. (1858). Note sur la th´eorie des poly`edres r´eguliers, Comptes rendus des s´eances de l’Acad´emie des Sciences, 46: 79–82, 117.

    [4] Euler, L. (1758). Elementa doctrinae solidorum [Elements of rubrics for solids]. Novi Commentarii Academiae Scientiarum Petropolitanae: 109–140 – via U. Pacific, Stockton, CA.

    [5] Evans, M. W., Harlow, F. H. (1957) The particle-in-cell method for hydrodynamic calculations.

    [6] Greene, L. H. (2012). Protein structure networks, Briefings in Functional Genomics, 11, 469–478.

    [7] Hatcher, A. (2002). Algebraic topology. Cambridge University Press. ISBN 0-521-79540-0.

    [8] Greub, W. (1975). Linear Algebra, Springer-Verlag, Fourth edition.

    [9] Bruns, W. and Herzog, J. Cohen-Macaulay Rings, 2nd ed. Cambridge, England: Cambridge University Press, 1998.

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    [11] Edelsbrunner, H.; Letscher, D.; Zomorodian, A. (2002). ”Topological Persistence and Simplification”. Discrete & Computational Geometry. 28 (4): 511–533.

    [12] Goerss, P.G., Jardin, J.F. (2009). Simplicial Homotopy Theory. Birkh¨auser Basel. ISBN 978-3-0346- 0188-7.

     

    [13] Kamiyama., Y. (2024). The Topology of Subspaces of the Configuration Space of Spatial Hexagons. Contributions to Pure and Applied Mathematics,2(1):108.

    Cite This Article As :
    Almuhur, Eman. , Abu-Al, Nabeela. , Qoqazeh, Hamza. , Atoom, Ali. , Al-Labadi, Manal. , Audeh, Wasim. A Simplical Complex-Based Kernel Estimation Method for Cracking Higher-Order Graph Structures in Cell Complex Topology. International Journal of Neutrosophic Science, vol. , no. , 2025, pp. 174-183. DOI: https://doi.org/10.54216/IJNS.260417
    Almuhur, E. Abu-Al, N. Qoqazeh, H. Atoom, A. Al-Labadi, M. Audeh, W. (2025). A Simplical Complex-Based Kernel Estimation Method for Cracking Higher-Order Graph Structures in Cell Complex Topology. International Journal of Neutrosophic Science, (), 174-183. DOI: https://doi.org/10.54216/IJNS.260417
    Almuhur, Eman. Abu-Al, Nabeela. Qoqazeh, Hamza. Atoom, Ali. Al-Labadi, Manal. Audeh, Wasim. A Simplical Complex-Based Kernel Estimation Method for Cracking Higher-Order Graph Structures in Cell Complex Topology. International Journal of Neutrosophic Science , no. (2025): 174-183. DOI: https://doi.org/10.54216/IJNS.260417
    Almuhur, E. , Abu-Al, N. , Qoqazeh, H. , Atoom, A. , Al-Labadi, M. , Audeh, W. (2025) . A Simplical Complex-Based Kernel Estimation Method for Cracking Higher-Order Graph Structures in Cell Complex Topology. International Journal of Neutrosophic Science , () , 174-183 . DOI: https://doi.org/10.54216/IJNS.260417
    Almuhur E. , Abu-Al N. , Qoqazeh H. , Atoom A. , Al-Labadi M. , Audeh W. [2025]. A Simplical Complex-Based Kernel Estimation Method for Cracking Higher-Order Graph Structures in Cell Complex Topology. International Journal of Neutrosophic Science. (): 174-183. DOI: https://doi.org/10.54216/IJNS.260417
    Almuhur, E. Abu-Al, N. Qoqazeh, H. Atoom, A. Al-Labadi, M. Audeh, W. "A Simplical Complex-Based Kernel Estimation Method for Cracking Higher-Order Graph Structures in Cell Complex Topology," International Journal of Neutrosophic Science, vol. , no. , pp. 174-183, 2025. DOI: https://doi.org/10.54216/IJNS.260417