Abu-Khzam, Faisal N.; Fernau, Henning; Mann, Kevin Minimal Roman dominating functions: extensions and enumeration. (English) Zbl 07682397 Bekos, Michael A. (ed.) et al., Graph-theoretic concepts in computer science. 48th international workshop, WG 2022, Tübingen, Germany, June 22–24, 2022. Revised selected papers. Cham: Springer. Lect. Notes Comput. Sci. 13453, 1-15 (2022). MSC: 68R10 PDF BibTeX XML Cite \textit{F. N. Abu-Khzam} et al., Lect. Notes Comput. Sci. 13453, 1--15 (2022; Zbl 07682397) Full Text: DOI arXiv
Cai, Qingqiong; Fan, Neng; Shi, Yongtang; Yao, Shunyu Integer linear programming formulations for double Roman domination problem. (English) Zbl 1501.90050 Optim. Methods Softw. 37, No. 1, 1-22 (2022). MSC: 90C10 68W25 PDF BibTeX XML Cite \textit{Q. Cai} et al., Optim. Methods Softw. 37, No. 1, 1--22 (2022; Zbl 1501.90050) Full Text: DOI arXiv
Pushpam, P. Roushini Leely; Mahavir, B.; Kamalam, M. Restrained weak Roman domination in graphs. (English) Zbl 1499.05490 South East Asian J. Math. Math. Sci. 17, No. 1, 273-284 (2021). MSC: 05C69 PDF BibTeX XML Cite \textit{P. R. L. Pushpam} et al., South East Asian J. Math. Math. Sci. 17, No. 1, 273--284 (2021; Zbl 1499.05490) Full Text: Link
Kartel, Aleksandar; Grbić, Milana; Matić, Dragan; Filipović, Vladimir The Roman domination number of some special classes of graphs – convex polytopes. (English) Zbl 1499.05470 Appl. Anal. Discrete Math. 15, No. 2, 393-412 (2021). MSC: 05C69 05C90 PDF BibTeX XML Cite \textit{A. Kartel} et al., Appl. Anal. Discrete Math. 15, No. 2, 393--412 (2021; Zbl 1499.05470) Full Text: DOI
Maimani, H. R.; Momeni, M.; Rahimi Mahid, F.; Sheikholeslami, S. M. Independent double Roman domination in graphs. (English) Zbl 1468.05213 AKCE Int. J. Graphs Comb. 17, No. 3, 905-910 (2020). MSC: 05C69 PDF BibTeX XML Cite \textit{H. R. Maimani} et al., AKCE Int. J. Graphs Comb. 17, No. 3, 905--910 (2020; Zbl 1468.05213) Full Text: DOI
Bouchou, Ahmed; Blidia, Mostafa; Chellali, Mustapha Extremal graphs for a bound on the Roman domination number. (English) Zbl 1439.05175 Discuss. Math., Graph Theory 40, No. 3, 771-785 (2020). MSC: 05C69 05C35 PDF BibTeX XML Cite \textit{A. Bouchou} et al., Discuss. Math., Graph Theory 40, No. 3, 771--785 (2020; Zbl 1439.05175) Full Text: DOI
Maimani, Hamidreza; Momeni, Mostafa; Nazari Moghaddam, Sakineh; Rahimi Mahid, Farhad; Sheikholeslami, Seyed Mahmoud Independent double Roman domination in graphs. (English) Zbl 1434.05114 Bull. Iran. Math. Soc. 46, No. 2, 543-555 (2020). MSC: 05C69 PDF BibTeX XML Cite \textit{H. Maimani} et al., Bull. Iran. Math. Soc. 46, No. 2, 543--555 (2020; Zbl 1434.05114) Full Text: DOI
Amjadi, J.; Sheikholeslami, S. M.; Valinavaz, M.; Dehgardi, N. Independent Roman domination and 2-independence in trees. (English) Zbl 1393.05194 Discrete Math. Algorithms Appl. 10, No. 4, Article ID 1850052, 10 p. (2018). MSC: 05C69 PDF BibTeX XML Cite \textit{J. Amjadi} et al., Discrete Math. Algorithms Appl. 10, No. 4, Article ID 1850052, 10 p. (2018; Zbl 1393.05194) Full Text: DOI
Ahangar, H. Abdollahzadeh On the global Roman domination number in graphs. (English) Zbl 1382.05051 Iran. J. Sci. Technol., Trans. A, Sci. 40, No. 3, 157-163 (2016). MSC: 05C69 05C12 PDF BibTeX XML Cite \textit{H. A. Ahangar}, Iran. J. Sci. Technol., Trans. A, Sci. 40, No. 3, 157--163 (2016; Zbl 1382.05051) Full Text: DOI
Gunawan, Andreas Dwi Maryanto; Koh, Khee Meng The \(\mathbb{N}_k\)-valued Roman domination and its boundaries. (English) Zbl 1347.05185 Arumugam, S. (ed.) et al., Proceedings of the 8th international workshop on graph labelings (IWOGL 2014), Krishnankoil, Tamil Nadu, India, December 3–6, 2014. Amsterdam: Elsevier. Electronic Notes in Discrete Mathematics 48, 95-102, electronic only (2015). MSC: 05C78 05C69 05C12 PDF BibTeX XML Cite \textit{A. D. M. Gunawan} and \textit{K. M. Koh}, Electron. Notes Discrete Math. 48, 95--102 (2015; Zbl 1347.05185) Full Text: DOI