Open Access
Issue
RAIRO-Theor. Inf. Appl.
Volume 59, 2025
Article Number 6
Number of page(s) 22
DOI https://doi.org/10.1051/ita/2025006
Published online 29 August 2025
  1. D.B. West et al., Introduction to Graph Theory, vol. 2. Prentice hall Upper Saddle River (2001). [Google Scholar]
  2. T.W. Haynes, S. Hedetniemi and P. Slater, Fundamentals of Domination in Graphs. CRC Press (2013). [Google Scholar]
  3. E.J. Cockayne, P.A. Dreyer Jr, S.M. Hedetniemi and S.T. Hedetniemi, Roman domination in graphs. Discrete Math. 278 (2004) 11–22. [CrossRef] [MathSciNet] [Google Scholar]
  4. G. Hao, L. Volkmann and D.A. Mojdeh, Total double roman domination in Graphs. Commun. Comb. Optim. 5 (2020) 27–39. [Google Scholar]
  5. S. Kosari, S. Babaei, J. Amjadi, M. Chellali and S. Sheikholeslami, Quasi total double roman domination in graphs. AKCE Int. J. Graphs Comb. 21 (2024) 171–180. [Google Scholar]
  6. A. Khandelwal, K. Srivastava and G. Saran, On roman domination of graphs using a genetic algorithm, in Computational Methods and Data Engineering: Proc. of ICMDE 2020, vol. 1. Springer (2020) 133–147. [Google Scholar]
  7. J. Greilhuber, S. Schober, E. Iurlano and G.R. Raidl, A simulated annealing based approach for the roman domination problem, in International Conference on Metaheuristics and Nature Inspired Computing. Springer (2023) 28–43. [Google Scholar]
  8. R.S. Banovoth and K. Kadambari, Roman domination-based spiking neural network for optimized eeg signal classification of four class motor imagery. Comput. Biol. Med. 194 (2025) 110397. [Google Scholar]
  9. S.N. Chaurasia and A. Singh, A hybrid evolutionary algorithm with guided mutation for minimum weight dominating set. Appl. Intell. 43 (2015) 512–529. [Google Scholar]
  10. H. Aggarwal and P.V.S. Reddy, Meta-heuristic algorithms for double roman domination problem. Appl. Soft Comput. 154 (2024) 111306. [Google Scholar]
  11. M.A. Raju and P.V.S. Reddy, Metaheuristic algorithms for solving roman (2)-domination problem. RAIRO Oper. Res. 58 (2024) 2107–2121. [Google Scholar]
  12. J.H. Holland, Adaptation in Natural and Artificial Systems. University of Michigan Press, Ann Arbor (1975). [Google Scholar]
  13. D.E. Goldberg, Genetic Algorithms in Search, Optimization, and Machine Learning. Addison-Wesley, Reading, MA (1989). [Google Scholar]
  14. M. Mitchell, An Introduction to Genetic Algorithms. MIT Press, Cambridge, MA (1996). [Google Scholar]
  15. D. Karaboga and B. Basturk, A powerful and efficient algorithm for numerical function optimization: artificial bee colony (abc) algorithm. J. Global Optim. 39 (2007) 459–471. [Google Scholar]
  16. B. Akay and D. Karaboga, A Modified Artificial Bee Colony Algorithm for Real-Parameter Optimization. Elsevier (2012). [Google Scholar]
  17. W. Gao and S. Liu, Improved Artificial Bee Colony Algorithm for Global Optimization. Elsevier (2013). [Google Scholar]
  18. I.S. Duff, R.G. Grimes and J.G. Lewis, Sparse matrix test problems. ACM Trans. Math. Softw. 15 (1989) 1–14. [Google Scholar]
  19. I.S. Duff, R.G. Grimes and J.G. Lewis, Users’ guide for the Harwell-Boeing sparse matrix collection (release I). Tech. Rep. RAL-92-086. Rutherford Appleton Laboratory (1992). [Google Scholar]
  20. A.-L. Barabási and R. Albert, Emergence of scaling in random networks. Science 286 (1999) 509–512. [CrossRef] [MathSciNet] [PubMed] [Google Scholar]
  21. R. Albert and A.-L. Barabási, Statistical mechanics of complex networks. Rev. Mod. Phys. 74 (2002) 47–97. [CrossRef] [Google Scholar]
  22. P. Erdős and A. Rényi, On random graphs I. Publ. Math. Debrecen 6 (1959) 290–297. [Google Scholar]
  23. B. Bollobás, Random Graphs, 2nd edn. Cambridge University Press (2001). [Google Scholar]
  24. D.J. Watts and S.H. Strogatz, Collective dynamics of ‘small-world’ Networks. Nature 393 (1998) 440–442. [NASA ADS] [CrossRef] [PubMed] [Google Scholar]
  25. M.E.J. Newman, The structure and function of complex networks. SIAM Rev. 45 (2003) 167–256. [CrossRef] [MathSciNet] [Google Scholar]
  26. J. Kleinberg, Navigation in a small world. Nature 406 (2000) 845. [Google Scholar]
  27. J. Kleinberg, Complex networks and decentralized search algorithms. Proc. Int. Congress Math. 3 (2006) 1019–1044. [Google Scholar]

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