Poureidi, Abolfazl Double Roman domination in graphs: algorithmic complexity. (English) Zbl 07812864 Commun. Comb. Optim. 8, No. 3, 491-503 (2023). MSC: 05C78 05C76 PDFBibTeX XMLCite \textit{A. Poureidi}, Commun. Comb. Optim. 8, No. 3, 491--503 (2023; Zbl 07812864) Full Text: DOI
D’ Souza, Wilma Laveena; Chaitra, V.; Kumara, M. Inverse double Roman domination in graphs. (English) Zbl 1516.05164 Discrete Math. Algorithms Appl. 15, No. 6, Article ID 2250144, 13 p. (2023). MSC: 05C69 05C90 PDFBibTeX XMLCite \textit{W. L. D' Souza} et al., Discrete Math. Algorithms Appl. 15, No. 6, Article ID 2250144, 13 p. (2023; Zbl 1516.05164) Full Text: DOI
Jalaei, R.; Mojdeh, D. A. Outer independent double Italian domination: complexity, characterization. (English) Zbl 1516.05170 Discrete Math. Algorithms Appl. 15, No. 3, Article ID 2250085, 13 p. (2023). MSC: 05C69 68Q17 PDFBibTeX XMLCite \textit{R. Jalaei} and \textit{D. A. Mojdeh}, Discrete Math. Algorithms Appl. 15, No. 3, Article ID 2250085, 13 p. (2023; Zbl 1516.05170) Full Text: DOI
Teymourzadeh, Atieh; Mojdeh, Doost Ali Covering total double Roman domination in graphs. (English) Zbl 1524.05229 Commun. Comb. Optim. 8, No. 1, 115-125 (2023). MSC: 05C69 05C10 68Q17 PDFBibTeX XMLCite \textit{A. Teymourzadeh} and \textit{D. A. Mojdeh}, Commun. Comb. Optim. 8, No. 1, 115--125 (2023; Zbl 1524.05229) Full Text: DOI
Xi, Changqing; Yue, Jun The restrained double Roman domination in graphs. (English) Zbl 1514.05125 Bull. Malays. Math. Sci. Soc. (2) 46, No. 1, Paper No. 6, 13 p. (2023). Reviewer: Baoyindureng Wu (Urumqi) MSC: 05C69 05C85 PDFBibTeX XMLCite \textit{C. Xi} and \textit{J. Yue}, Bull. Malays. Math. Sci. Soc. (2) 46, No. 1, Paper No. 6, 13 p. (2023; Zbl 1514.05125) Full Text: DOI
Rad, N. Jafari; Maimani, H. R.; Momeni, M.; Mahid, F. Rahimi On the double Roman bondage numbers of graphs. (English) Zbl 1516.05177 Discrete Math. Algorithms Appl. 14, No. 8, Article ID 2250046, 14 p. (2022). MSC: 05C69 PDFBibTeX XMLCite \textit{N. J. Rad} et al., Discrete Math. Algorithms Appl. 14, No. 8, Article ID 2250046, 14 p. (2022; Zbl 1516.05177) 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 PDFBibTeX XMLCite \textit{Q. Cai} et al., Optim. Methods Softw. 37, No. 1, 1--22 (2022; Zbl 1501.90050) Full Text: DOI arXiv
Mojdeh, Doost Ali; Samadi, Babak; Shao, Zehui; Yero, Ismael G. On the outer independent double Roman domination number. (English) Zbl 1493.05234 Bull. Iran. Math. Soc. 48, No. 4, 1789-1803 (2022). MSC: 05C69 PDFBibTeX XMLCite \textit{D. A. Mojdeh} et al., Bull. Iran. Math. Soc. 48, No. 4, 1789--1803 (2022; Zbl 1493.05234) Full Text: DOI arXiv
Poureidi, Abolfazl Algorithm and hardness results in double Roman domination of graphs. (English) Zbl 07496387 Theor. Comput. Sci. 911, 70-79 (2022). MSC: 68Qxx PDFBibTeX XMLCite \textit{A. Poureidi}, Theor. Comput. Sci. 911, 70--79 (2022; Zbl 07496387) Full Text: DOI
Kosari, Saeed; Shao, Zehui; Sheikholeslami, Seyed Mahmoud; Chellali, Mustapha; Khoeilar, Rana; Karami, Hossein Double Roman domination in graphs with minimum degree at least two and no \(C_5\)-cycle. (English) Zbl 1484.05158 Graphs Comb. 38, No. 2, Paper No. 39, 16 p. (2022). MSC: 05C69 05C07 05C35 05C75 PDFBibTeX XMLCite \textit{S. Kosari} et al., Graphs Comb. 38, No. 2, Paper No. 39, 16 p. (2022; Zbl 1484.05158) Full Text: DOI
Chellali, M.; Rad, N. Jafari; Sheikholeslami, S. M.; Volkmann, L. Varieties of Roman domination. (English) Zbl 1479.05253 Haynes, Teresa W. (ed.) et al., Structures of domination in graphs. Cham: Springer. Dev. Math. 66, 273-307 (2021). MSC: 05C69 PDFBibTeX XMLCite \textit{M. Chellali} et al., Dev. Math. 66, 273--307 (2021; Zbl 1479.05253) Full Text: DOI
Ouldrabah, Lyes; Volkmann, Lutz An upper bound on the double Roman domination number. (English) Zbl 1473.05230 Bull. Iran. Math. Soc. 47, No. 5, 1315-1323 (2021). MSC: 05C69 05C70 68Q17 PDFBibTeX XMLCite \textit{L. Ouldrabah} and \textit{L. Volkmann}, Bull. Iran. Math. Soc. 47, No. 5, 1315--1323 (2021; Zbl 1473.05230) Full Text: DOI
Poureidi, A. Algorithmic aspects of Roman graphs. (English) Zbl 1468.05285 J. Algebr. Syst. 9, No. 1, 119-135 (2021). MSC: 05C85 05C69 PDFBibTeX XMLCite \textit{A. Poureidi}, J. Algebr. Syst. 9, No. 1, 119--135 (2021; Zbl 1468.05285) Full Text: DOI
Henning, Michael A.; Rad, Nader Jafari Upper bounds on the \(k\)-tuple (Roman) domination number of a graph. (English) Zbl 1459.05239 Graphs Comb. 37, No. 1, 325-336 (2021). MSC: 05C69 PDFBibTeX XMLCite \textit{M. A. Henning} and \textit{N. J. Rad}, Graphs Comb. 37, No. 1, 325--336 (2021; Zbl 1459.05239) Full Text: DOI
Poureidi, Abolfazl Total Roman domination for proper interval graphs. (English) Zbl 1468.05218 Electron. J. Graph Theory Appl. 8, No. 2, 401-413 (2020). MSC: 05C69 PDFBibTeX XMLCite \textit{A. Poureidi}, Electron. J. Graph Theory Appl. 8, No. 2, 401--413 (2020; Zbl 1468.05218) Full Text: DOI
Poureidi, Abolfazl; Jafari Rad, Nader On algorithmic complexity of double Roman domination. (English) Zbl 1453.05093 Discrete Appl. Math. 285, 539-551 (2020). Reviewer: Venkatakrishnan Yanamandram (Tiruchirappalli) MSC: 05C69 PDFBibTeX XMLCite \textit{A. Poureidi} and \textit{N. Jafari Rad}, Discrete Appl. Math. 285, 539--551 (2020; Zbl 1453.05093) Full Text: DOI
Volkmann, Lutz The double Roman domatic number of a digraph. (English) Zbl 1446.05074 Discuss. Math., Graph Theory 40, No. 4, 995-1004 (2020). MSC: 05C69 05C20 05C40 PDFBibTeX XMLCite \textit{L. Volkmann}, Discuss. Math., Graph Theory 40, No. 4, 995--1004 (2020; Zbl 1446.05074) Full Text: DOI
Egunjobi, Ayotunde T.; Haynes, Teresa W. Perfect double Roman domination of trees. (English) Zbl 1442.05153 Discrete Appl. Math. 284, 71-85 (2020). MSC: 05C69 05C05 PDFBibTeX XMLCite \textit{A. T. Egunjobi} and \textit{T. W. Haynes}, Discrete Appl. Math. 284, 71--85 (2020; Zbl 1442.05153) Full Text: DOI Link
Mojdeh, Doost Ali; Volkmann, Lutz Roman \(\{ 3 \}\)-domination (double Italian domination). (English) Zbl 1442.05165 Discrete Appl. Math. 283, 555-564 (2020). MSC: 05C69 PDFBibTeX XMLCite \textit{D. A. Mojdeh} and \textit{L. Volkmann}, Discrete Appl. Math. 283, 555--564 (2020; Zbl 1442.05165) Full Text: DOI
Hao, Guoliang; Chen, Xiaodan On the global double Roman domination of graphs. (English) Zbl 1441.05170 Bull. Malays. Math. Sci. Soc. (2) 43, No. 4, 3007-3018 (2020). MSC: 05C69 05C05 PDFBibTeX XMLCite \textit{G. Hao} and \textit{X. Chen}, Bull. Malays. Math. Sci. Soc. (2) 43, No. 4, 3007--3018 (2020; Zbl 1441.05170) Full Text: DOI
Banerjee, Sumanta; Henning, Michael A.; Pradhan, D. Algorithmic results on double Roman domination in graphs. (English) Zbl 1434.05105 J. Comb. Optim. 39, No. 1, 90-114 (2020). MSC: 05C69 90C35 05C35 68Q17 PDFBibTeX XMLCite \textit{S. Banerjee} et al., J. Comb. Optim. 39, No. 1, 90--114 (2020; Zbl 1434.05105) Full Text: DOI
Hao, Guoliang; Volkmann, Lutz; Mojdeh, Doost Ali Total double Roman domination in graphs. (English) Zbl 1449.05200 Commun. Comb. Optim. 5, No. 1, 27-39 (2020). MSC: 05C69 PDFBibTeX XMLCite \textit{G. Hao} et al., Commun. Comb. Optim. 5, No. 1, 27--39 (2020; Zbl 1449.05200) Full Text: DOI
Khoeilar, Rana; Karami, Hossein; Chellali, Mustapha; Sheikholeslami, Seyed Mahmoud An improved upper bound on the double Roman domination number of graphs with minimum degree at least two. (English) Zbl 1426.05131 Discrete Appl. Math. 270, 159-167 (2019). MSC: 05C69 05C75 PDFBibTeX XMLCite \textit{R. Khoeilar} et al., Discrete Appl. Math. 270, 159--167 (2019; Zbl 1426.05131) Full Text: DOI
Henning, Michael A.; Rad, Nader Jafari A characterization of double Roman trees. (English) Zbl 1407.05179 Discrete Appl. Math. 259, 100-111 (2019). MSC: 05C69 PDFBibTeX XMLCite \textit{M. A. Henning} and \textit{N. J. Rad}, Discrete Appl. Math. 259, 100--111 (2019; Zbl 1407.05179) Full Text: DOI