Some parameters for the resize graph of G2(4)
*Manar Musab IftekhanCorresponding authormannar.ali2103p@sc.uobaghdad.edu.iqDepartment of MathematicsCollege of ScienceUniversity of BaghdadBaghdad, IraqView full profile → , Ali A. Aubadali.abd@sc.uobaghdad.edu.iqDepartment of MathematicsCollege of ScienceUniversity of BaghdadBaghdad, IraqView full profile →
* Corresponding author · click or hover a name for details
- Received:
- 04 Feb 2025
- Published Online:
- 26 Jun 2025
- Article type:
- Research Article
- Language:
- EN
- Article no.:
- JDMSC-2277
- Pages:
- 1375–1383
Abstract
Keywords
Subject Classifications
References
[1] X. Li, S. Zhou, X. Ren, and X. Guo, “Structure and substructure connectivity of alternating group graphs,” Appl. Math. Comput., vol. 391, pp. 125639 (2021).
[2] P. K. Dixit, An Analysis of Group Theory: Advanced Topics and Applications, Modern Algebra, pp. 19.
[3] (http://brauer.maths.qmul.ac.uk/Atlas/v3/, (2021)] A. Oudah and A. Aubad, “Analysing the structure of A4-graphs for Mathieu groups,” J. Discrete Math. Sci. Cryptogr., vol. 24, no. 7, pp. 1907-1913 (2021).
[4] G. Araujo-Pardo and D. Leemans, “Edge-girth-regular graphs arising from biaffine planes and Suzuki groups,” Discrete Math., vol. 345, no. 10, pp. 112991 (2022).
[5] A. K. Mahato, R. Das, and S. K. Sahani, “Study on Application of Graph Theory in Artificial Intelligence (AI),” Quest: J. Geometry, Math. Quantum Phys., vol. 1, no. 3, pp. 1-8 (2024).
[6] A. T. Jawad and A. Aubad, “Studying the result involution graphs for HS and McL Leech lattice groups,” J. Interdiscip. Math., vol. 26, no. 5, pp. 829–834 (2023).
[7] A. Jund and H. Salih, “Result involution graphs of finite groups,” J. Zankoy Sulaimani, vol. 23, no. 1, pp. 113-118 (2021).
[8] A. Aubad and H. Salih, “More on Result Involution Graphs,” Iraqi J. Sci., vol. 64, no. 1, pp. 331-340 (2023).
[9] A. Hussain, M. Usman, and F. Zaman, “Lie group analysis, solitons, self-adjointness and conservation laws of the nonlinear elastic structural element equation,” J. Taibah Univ. Sci., vol. 18, no. 1, pp. 2294554 (2024).
[10] H. Hamdi, “Investigation of the order of elements 3 in certain twisted groups of Lie type,” Italian J. Pure Appl. Math., vol. 48, pp. 621–629 (2022).
[11] The GAP Group, “GAP Groups, Algorithms, and Programming,” Version 4.11.1, 18 Dec. (2022). [Online]. Available: http://www.gap-system.org.
[12] C. Cedillo, R. MacKinney-Romero, M. A. Pizaña, I. A. Robles, and R. Villarroel-Flores, “Yet Another Graph System, YAGS,” Version 0.0.5. [Online]. Available: http://xamanek.izt.uam.mx/yags/ (2019).
[13] R. Wilson, R. Abban, J. Bray, T. Breuer, C. Butler, R. Curtis, J. N. Bray, D. Holt, S. Linton, S. Norton, G. Hiss, K. Lux, A. Parker, and R. Parker, “A world wide web atlas of group representations,” [Online]. Available: http://brauer.maths.qmul.ac.uk/Atlas/v3/ (2021).
[14] Z. Du, A. Jahanbai, and S. M. Sheikholeslami, “Relationships between Randic index and other topological indices,” Commun. Combin. Optim., vol. 6, no. 1, pp. 137-154 (2021).
[15] M. N. Jauhari and F. Ali, “Survey on topological indices and graphs associated with a commutative ring,” in J. Phys.: Conf. Ser., vol. 1562, no. 1, pp. 012008 (June 2020).
[16] N. De, M. Cancan, M. Alaeiyan, and M. R. Farahani, “On some degree-based topological indices of mk-graph,” J. Discrete Math. Sci. Cryptogr., vol. 23, no. 6, pp. 1183-1194 (2020).
[17] J. B. Liu, S. N. Baig, I. A. Khan, F. Rauf, and M. A. Gondal, “Distance-based and bond additive topological indices of certain repurposed antiviral drug compounds tested for treating COVID-19,” Int. J. Quantum Chem., vol. 121, no. 10, p. e26617 (2021).
[18] G. H. Shirdel, H. Rezapour, and R. Nasiri, “Lower and upper bounds for Hyper-Zagreb index of graphs,” Iraqi J. Sci., vol. 61, no. 6, pp. 1401–1406 (2020).
[19] H. Ahmad, A. A. Almagrabi, R. A. Saeed, and M. M. A. Alobaidi, “Exploring the distance-based topological indices for total graphs via numerical comparison,” J. Math., vol. 2024, no. 1 (2024), doi: 10.1155/jom/4423113.
[20] X. Zhang, Q. Zheng, K. Ch. Das, J. Cao, and M. Imran, “On degree-based topological properties of two carbon nanotubes,” Polycycl. Aromat. Compd., vol. 42, no. 3, pp. 866–884 (2022).
[21] A. H. Ahmed, A. Alwardi, and M. R. Salestina, “On domination topological indices of graphs,” Int. J. Analysis Appl., vol. 19, no. 1, pp. 47-64 (2021).
[22] I. Gutman, B. Furtula, and M. S. Oz, “Geometric approach to vertex-degree-based topological indices–Elliptic Sombor index, theory and application,” Int. J. Quantum Chem., vol. 124, no. 2, p. e27346 (2024).
[23] H. Ali, M. Shafiq, I. N. Mehmood, M. Imran, and S. N. Baig, “On the Degree-Based Topological Indices of Some Derived Networks,” Mathematics, vol. 7, no. 7, p. 612 (2019), doi: 10.3390/math7070612.
[24] J. L. Palacios, “More on Topological Indices and Their Reciprocals,” MATCH Commun. Math. Comput. Chem., vol. 92, pp. 55-63 (2024).
[25] A. Granados, S. Cabello, J. Rada, and J. A. Rodríguez-Velázquez, “New bounds for variable topological indices and applications,” J. Math. Chem., pp. 1-19 (2024).
[26] J. Kumar, R. P. Panda, and P. Parveen, “On the difference graph of power graphs of finite groups,” Quaestiones Mathematicae, vol. 47, no. 5, pp. 997-1018 (2024).
[27] J. M. Sigarreta, “Mathematical properties of variable topological indices,” Symmetry, vol. 13, no. 1, p. 43 (2020).




