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Extension of Paul Erdős graph on hypergroups Cover

References

  1. Abdollahi, A., Akbari, S. and Maimani, H. R., Non-commuting graph of a group, J. Algebra, 298 (2006) 468–492.
  2. Angheluţă, C., Cristea, I., Fuzzy grade of the complete hypergroups, Iran. J. Fuzzy Syst., 9(6) (2012) 43–56.
  3. Al Tahan, M., Hoskova-Mayerova S. and Davvaz, B., An overview of topological hypergroupoids, J. Intell. Fuzzy Syst. 34(3) (2018) 1907–1916.
  4. Antampoufis, N. and Hošková-Mayerová, Š., A Brief Survey on the two Different Approaches of Fundamental Equivalence Relations on Hyper-structures, Ratio Math., 33 (2017) 47–60.
  5. Arabpour F, Jafarpour M, Aminizadeh M and Hoskova-Mayerova S., On geometric polygroups. An. St. Univ. Ovidius Const., Ser. Mat., 28(1) (2020) 17–33.
  6. Bondy, J. A .and Murty, U. S., Graph Theory, Springer, 2008.
  7. Cameron, P. J., Graphs defined on groups, Int. J. Group Theory 11, (2) (2022) 53–107.
  8. Cristea, I. and Bordbar, H., Preface to the Special Issue Algebraic Structures and Graph Theory, Mathematics, 11(15) (2023) 3259. https://doi.org/10.3390/math11153259.
  9. Corsini, P., Prolegomena of Hypergroup Theory, Aviani Editore, Tricesimo, 1993.
  10. Corsini, P., Leoreanu, V., Applications of Hyperstructure Theory, Kluwer Academical Publications, Dordrecht, 2003.
  11. Davvaz, B., Leoreanu-Fotea, V., Hyperring Theory and Applications, International Academic Press, USA, 2007.
  12. Golmohamadian, M. and Zahedi, M. M., Color hypergroup and join space obtained by the vertex colouring of a graph, Filomat, 31(20) (2017) 6501–6513.
  13. Hamidi, M. and Borumand Saied, A., Creating and computing graphs from hypergraphs, Krag. J. Math., 43(1) (2019) 139–164.
  14. Hamidi, M., Saeid, A. B. and Leoreanu-Fotea, V., Divisible groups derived from divisible hypergroups, U.P.B. Sci. Bull., Series A, Appl. Math. Phys., 79(2) (2017) 59–70.
  15. Hamidi, M. and Cristea, I. Hyperideal-based zero-divisor graph of the general hyperring Zn, AIMS Mathematics, 9(6) (2024) 15891-15910. https://doi.org/10.3934/math.2024768
  16. Heidari, D., Amooshahi, M., and Davvaz, B., Generalized Cayley graphs over polygroups. Communications in Algebra, 47(5)(2019) 22092219. https://doi.org/10.1080/00927872.2018.1530254.
  17. Iranmanesh, M. Jafarpour M. and Cristea, I. The non-commuting graph of a non-central hypergroup Open Mathematics, (17)(1) (2019) 1035–1044. https://doi.org/10.1515/math-2019-0084.
  18. Kalampakas, A. and Spartalis, S., Path hypergroupoids: Commutativity and graph connectivity, European J. Combin., 44 (2015) 257–264.
  19. Kalampakas, A., Spartalis, S. and Skoulariki, K., Directed Graphs representing isomorphism classes of C-Hypergroupoids, Ratio Math., 23 (2012) 51–64.
  20. Kalampakas, A., Spartalis, S. and Tsigkas, A., The Path Hyperoperation, An. St. Univ. Ovidius Const., Ser. Mat., 22 (2014) 141–153.
  21. Massouros, Ch. G., On path hypercompositions in graphs and automata, MATEC Web of Conferences, 41 (2016) 05003.
  22. Neumann, B. H., A problem of Paul Erdos on groups, J. Aust. Math. Soc. Ser. A, 21 (1976) 467–472.
  23. Novák, M., Křehlík,Š. and Cristea, I., Cyclicity in EL–hypergroups, Symmetry, 10(11) (2018) 611.
  24. Sanjabi, A., Jafarpour, M., Hoskova-Mayerova, S., Aghabozorgi, H. and Vagaska, A., Study of Cayley Digraphs over Polygroups, Mathematics, 12(17)(2024), 2711.
  25. Sullivan, B. W., An invitation to pursuit-evasion games and graph theory, Amer. Math. Monthly, 130(4) (2023) 395–400.
  26. Vougiouklis, T., Hyperstructures and Their Representations, Hadronic Press, Palm Harbour, FL, 1994.
DOI: https://doi.org/10.2478/auom-2025-0033 | Journal eISSN: 1844-0835 | Journal ISSN: 1224-1784
Language: English
Page range: 145 - 164
Submitted on: Jan 23, 2025
Accepted on: Jun 14, 2025
Published on: Nov 29, 2025
Published by: Ovidius University of Constanta
In partnership with: Paradigm Publishing Services
Publication frequency: 3 issues per year

© 2025 S. Shamsadini, H. Aghabozorgi, M. Jafarpour, S. Hoskova-Mayerova, published by Ovidius University of Constanta
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.