Acknowledgement
The authors express their gratitude to the dear referees, who wish to remain anonymous, and to the editors, for their helpful suggestions, all of which improved the final version of this paper.
References
- A. Al-Husban, D. Al-Sharoa, M. Al-Kaseasbeh, and R.M.S. Mahmood, Structures of fibers of groups actions on graphs, WSEAS Trans. Math. 7 (2022), 650-658. https://doi.org/10.37394/23206.2022.21.76
- A. Al-Husban, M. Al-Qadri, R. Saadeh, A. Qazza, & H. Almomani, Multi-Fuzzy Rings, WSEAS Trans. Math. 21 (2022), 701-706. https://doi.org/10.37394/23206.2022.21.82
- L. Hawawsheh, A. Qazza, A.R. Saadeh, A. Zraiqat, & I. Batiha, Lp-Mapping Properties of a Class of Spherical Integral Operators, Axioms 12 (2023), 802.
- A. Hazaymeh, R. Saadeh, H. Hatamleh, M. Alomari, & A. Qazza, A Perturbed Milne's Quadrature Rule for n-Times Differentiable Functions with Lp-Error Estimates, Axioms 12 (2023), 803.
- A. Hazaymeh, A. Qazza, R. Hatamleh, M. Alomari, & R. Saadeh, On Further Refinements of Numerical Radius Inequalities, Axioms 12 (2023), 807.
- T. Qawasmeh, A. Qazza, R. Hatamleh, M. Alomari, & R. Saadeh, Further Accurate Numerical Radius Inequalities, Axioms 12 (2023), 801.
- W. Dicks and M.J. Dunwoody, Groups Acting on Graphs, Cambridge University Press, 1989.
- A. Karrass and D. Solitar, The subgroups of a free product of two groups with an amalgamated subgroup, Trans. Amer. Math. Soc. 150 (1970), 227-255. https://doi.org/10.1090/S0002-9947-1970-0260879-9
- M.I. Khanfar and R.M.S. Mahmud, A note on groups acting on connected graphs, J. Univ. Kuwait Sci. 16 (1989), 205-208.
- R.M.S. Mahmood, On the converse of the theory of groups acting on trees with inversions, Mediterr. J. of Math. 1 (2009), 89-106.
- R.M.S. Mahmud, Presentation of groups acting on trees with inversions, Proc. R. Soc. Edinb. Sect. A 113 (1989), 235-241. https://doi.org/10.1017/S0308210500024100
- J.P. Serre, Trees, Translated by John Stillwell, Springer-Verlag, 1980.