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AKCE International Journal of Graphs and Combinatorics Volume 19, 2022 - Issue 3
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Articles

Further results on independent double roman trees

A. Rahmounia LAMDA-RO Laboratory, Department of Mathematics, University of Blida, Blida, Algeria
,
H. Abdollahzadeh Ahangarb Department of Mathematics, Babol Noshirvani University of Technology, Babol, I.R. IranCorrespondence[email protected]
,
M. Chellalia LAMDA-RO Laboratory, Department of Mathematics, University of Blida, Blida, Algeria
&
S. M. Sheikholeslamic Department of Mathematics, Azarbaijan Shahid Madani University, Tabriz, Iran
Pages 311-315 | Received 27 Jul 2022, Accepted 10 Nov 2022, Published online: 28 Nov 2022

References

  • Abdollahzadeh Ahangar, H., Chellali, M. Sheikholeslami, S. M. (2020). Outer independent double Roman domination. Appl. Math. Comput. 364: 124617.
  • Abdollahzadeh Ahangar, H., Chellali, M., Sheikholeslami, S. M, Valenzuela-Tripodoro, J. C. (2022). Maximal double Roman domination in graphs. Appl. Math. Comput. 414: 126662.
  • Abdollahzadeh Ahangar, H., Chellali, M., Sheikholeslami, S. M, Valenzuela-Tripodoro, J. C. (2020). Total Roman {2}-dominating functions in graphs. Discuss. Math. Graph Theory 42(3): 937–958.
  • Beeler, R. A., Haynes, T. W, Hedetniemi, S. T. (2016). Double Roman domination. Discrete Appl. Math. 211: 23–29.
  • Chellali, M., Jafari Rad, N., Sheikholeslami, S. M, Volkmann, L. (2020). Roman Domination in Graphs, Topics in Domination in Graphs, T. W. Haynes, S. T. Hedetniemi, and M. A. Henning, (eds.), Springer, Berlin/Heidelberg, pp. 365–409.
  • Chellali, M., Jafari Rad, N., Sheikholeslami, S. M, Volkmann, L. (2021). Varieties of Roman domination in: Structures of Domination in Graphs, T.W. Haynes, S.T. Hedetniemi and M.A. Henning, (eds), Springer, Berlin/Heidelberg, pp. 273–307.
  • Chellali, M., Jafari Rad, N., Sheikholeslami, S. M, Volkmann, L. (2020). Varieties of Roman domination II. AKCE Int. J. Graphs Comb 17(3): 966–984.
  • Cockayne, E. J., Dreyer, P. M., Jr., Hedetniemi, S. M, Hedetniemi, S. T. (2004). On Roman domination in graphs. Discrete Math. 278(1–3): 11–22.
  • Hajjari, M., Abdollahzadeh Ahangar, H., Khoeilar, R., Shao, Z, Sheikholeslami, S. M. An upper bound on triple Roman domination. Commun. Comb. Optim. In press.
  • Kheibari, M., Abdollahzadeh Ahangar, H., Khoeilar, R, Sheikholeslami, S. M. (2022). Lower and upper bounds on independent double Roman domination in trees. Electron. J. Graph Theory Appl. 10(2): 447–460.
  • Maimani, M., Momeni, M., Nazari-Moghaddam, S., Rahimi-Mahid, F, Sheikholeslami, S. M. (2020). Independent double Roman domination in graphs. Bull. Iran. Math. Soc. 46(2): 543–555.
  • Maimani, M., Momeni, M., Rahimi-Mahid, F, Sheikholeslami, S. M. (2020). Independent double Roman domination in graphs. AKCE Int. J. Graphs Combin. 17(3): 905–910.
  • Nahani Pour, F., Abdollahzadeh Ahangar, H., Chellali, M, Sheikholeslami, S. M. An improved upper bound on the independent double Roman domination number of trees. AKCE Int. J. Graphs Combin. In press.

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