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International Journal of Neutrosophic Science

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Online: 2690-6805 Print: 2692-6148
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Continuous publication

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Open access · Articles freely available online · APC applies after acceptance

International Journal of Neutrosophic Science
Full Length Article

Volume 26Issue 4PP: 174-183 • 2025

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 5
1Department of Mathematics, Applied Science Private University, Jordan
2Department of Mathematics, Jerash University, Jordan
3Department of Mathematics, Irbid National University, Jordan
4Department of Mathematics, Ajloun National University, Jordan
5Department of Mathematics, University of Petra, Jordan
* Corresponding Author.
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.

[10] Mannige, R. V. (2014). Dynamic New World: Refining Our View of Protein Structure, Function and Evolution, Proteomes, 2: 128–153.

[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.

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Almuhur, Eman, Kishik, Nabeela Abu-Al, 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. Volume 26, no. Issue 4, 2025, pp. 174-183. DOI: https://doi.org/10.54216/IJNS.260417
Almuhur, E., Kishik, 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, Volume 26(Issue 4), 174-183. DOI: https://doi.org/10.54216/IJNS.260417
Almuhur, Eman, Kishik, Nabeela Abu-Al, 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 Volume 26, no. Issue 4 (2025): 174-183. DOI: https://doi.org/10.54216/IJNS.260417
Almuhur, E., Kishik, 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, Volume 26(Issue 4), pp. 174-183. DOI: https://doi.org/10.54216/IJNS.260417
Almuhur E, Kishik 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. 2025;Volume 26(Issue 4):174-183. DOI: https://doi.org/10.54216/IJNS.260417
E. Almuhur, N. Kishik, H. Qoqazeh, A. Atoom, M. Al-labadi, W. Audeh, "A Simplical Complex-Based Kernel Estimation Method for Cracking Higher-Order Graph Structures in Cell Complex Topology," International Journal of Neutrosophic Science, vol. Volume 26, no. Issue 4, pp. 174-183, 2025. DOI: https://doi.org/10.54216/IJNS.260417
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