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AKCE International Journal of Graphs and Combinatorics Volume 20, 2023 - Issue 3
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Research Articles

Restrained Italian reinforcement number in graphs

N. Ebrahimia Department of Mathematics, Azarbaijan Shahid Madani University, Tabriz, I.R. Iran
,
J. Amjadia Department of Mathematics, Azarbaijan Shahid Madani University, Tabriz, I.R. Iran
,
M. Chellalib LAMDA-RO Laboratory, Department of Mathematics, University of Blida, Blida, Algeria
&
S. M. Sheikholeslamia Department of Mathematics, Azarbaijan Shahid Madani University, Tabriz, I.R. IranCorrespondence[email protected]
Pages 227-234 | Received 10 Jan 2022, Accepted 02 Dec 2022, Published online: 08 Jun 2023

References

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  • Amjadi, J., Asgharsharghi, L., Dehgardi, N., Furuya, M., Sheikholeslami, S. M., Volkmann, L. (2017). The k-rainbow reinforcement numbers in graphs. Discrete Appl. Math. 217: 394–404.
  • Amjadi, J., Sadeghi, H. (2021). Double Roman reinforcement number in graphs. AKCE Int. J. Graphs Comb. 18(1): 191–199.
  • Azvin, F., Jafari Rad, N. (2022). Bounds on the double Italian domination number of a graph. Discuss. Math. Graph Theory 42(4): 1129–1137.
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  • Jafari Rad, N., Sheikholeslami, S. M. (2011). Roman reinforcement in graphs. Bull. Inst. Combin. Appl. 61: 81–90.
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  • Mojdeh, D. A., Volkmann, L. (2020). Roman {3}–domination (double Italian domination). Discrete Appl. Math. 283: 555–564.
  • Samadi, B., Alishahi, M., Masoumi, I., Mojdeh, D. A. (2021). Restrained Italian domination in graphs. RAIRO-Oper. Res. 55: 319–332.
  • Shahbazi, L., Abdollahzadeh Ahangar, H., Khoeilar, R., Shekholeslami, S. M. (2021). Total k-rainbow reinforcement number in graphs. Discrete Math. Algorithms Appl. 13(1): ID2050101 (16 pages).
  • Volkmann, L. (2023). Remarks on the restrained Italian domination number in graphs, Commun. Comb. Optim. 8(1): 183–191.
  • Volkmann, L. (2023). Restrained double Italian domination in graphs, Commun. Comb. Optim. 8(1): 1–11.

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