Volkmann, Lutz Signed total Italian \(k\)-domination in digraphs. (English) Zbl 07814395 Commun. Comb. Optim. 9, No. 2, 339-351 (2024). MSC: 05C20 05C69 PDFBibTeX XMLCite \textit{L. Volkmann}, Commun. Comb. Optim. 9, No. 2, 339--351 (2024; Zbl 07814395) Full Text: DOI
Akhoundi, Maryam; Khan, Aysha; Shafi, Jana; Volkmann, Lutz Quasi total double Roman domination in trees. (English) Zbl 07814352 Commun. Comb. Optim. 9, No. 1, 159-168 (2024). MSC: 05C69 PDFBibTeX XMLCite \textit{M. Akhoundi} et al., Commun. Comb. Optim. 9, No. 1, 159--168 (2024; Zbl 07814352) Full Text: DOI
Amjadi, Jafar; Samadi, Babak; Volkmann, Lutz Total restrained Roman domination. (English) Zbl 07812869 Commun. Comb. Optim. 8, No. 3, 575-587 (2023). MSC: 05C69 PDFBibTeX XMLCite \textit{J. Amjadi} et al., Commun. Comb. Optim. 8, No. 3, 575--587 (2023; Zbl 07812869) Full Text: DOI
Volkmann, Lutz Signed total Italian domination in digraphs. (English) Zbl 07812861 Commun. Comb. Optim. 8, No. 3, 457-466 (2023). MSC: 05C69 PDFBibTeX XMLCite \textit{L. Volkmann}, Commun. Comb. Optim. 8, No. 3, 457--466 (2023; Zbl 07812861) Full Text: DOI
Mahmoodi, A.; Volkmann, L. Outer-independent total 2-rainbow dominating functions in graphs. (English) Zbl 1524.05220 Commun. Comb. Optim. 8, No. 2, 431-444 (2023). MSC: 05C69 05C15 PDFBibTeX XMLCite \textit{A. Mahmoodi} and \textit{L. Volkmann}, Commun. Comb. Optim. 8, No. 2, 431--444 (2023; Zbl 1524.05220) Full Text: DOI
Volkmann, Lutz Signed total Italian \(k\)-domatic number of a graph. (English) Zbl 1524.05233 Commun. Comb. Optim. 8, No. 1, 39-52 (2023). MSC: 05C69 PDFBibTeX XMLCite \textit{L. Volkmann}, Commun. Comb. Optim. 8, No. 1, 39--52 (2023; Zbl 1524.05233) Full Text: DOI
Sheikholeslami, Seyed Mahmoud; Volkmann, Lutz Nordhaus-Gaddum type inequalities on the total Italian domination number in graphs. (English) Zbl 1497.05212 RAIRO, Oper. Res. 56, No. 4, 2235-2243 (2022). Reviewer: Saeid Alikhani (Yazd) MSC: 05C69 PDFBibTeX XMLCite \textit{S. M. Sheikholeslami} and \textit{L. Volkmann}, RAIRO, Oper. Res. 56, No. 4, 2235--2243 (2022; Zbl 1497.05212) Full Text: DOI
Ahangar, H. Abdollahzadeh; Chellali, M.; Sheikholeslami, S. M.; Soroudi, M.; Volkmann, L. Total vertex-edge domination in trees. (English) Zbl 1487.05188 Acta Math. Univ. Comen., New Ser. 90, No. 2, 127-143 (2021). Reviewer: Doost Ali Mojdeh (Babolsar) MSC: 05C69 05C05 PDFBibTeX XMLCite \textit{H. A. Ahangar} et al., Acta Math. Univ. Comen., New Ser. 90, No. 2, 127--143 (2021; Zbl 1487.05188) Full Text: Link
Volkmann, Lutz Signed total Italian \(k\)-domination in graphs. (English) Zbl 1488.05400 Commun. Comb. Optim. 6, No. 2, 171-183 (2021). MSC: 05C69 PDFBibTeX XMLCite \textit{L. Volkmann}, Commun. Comb. Optim. 6, No. 2, 171--183 (2021; Zbl 1488.05400) Full Text: DOI
Khoeilar, Rana; Karami, Hossein; Chellali, Mustapha; Sheikholeslami, Seyed Mahmoud; Volkmann, Lutz Nordhaus-Gaddum type results for connected and total domination. (English) Zbl 1469.05133 RAIRO, Oper. Res. 55, Suppl., S853-S862 (2021). MSC: 05C69 PDFBibTeX XMLCite \textit{R. Khoeilar} et al., RAIRO, Oper. Res. 55, S853--S862 (2021; Zbl 1469.05133) Full Text: DOI
Hansberg, Adriana; Volkmann, Lutz Multiple domination. (English) Zbl 1479.05267 Haynes, Teresa W. (ed.) et al., Topics in domination in graphs. Cham: Springer. Dev. Math. 64, 151-203 (2020). MSC: 05C69 PDFBibTeX XMLCite \textit{A. Hansberg} and \textit{L. Volkmann}, Dev. Math. 64, 151--203 (2020; Zbl 1479.05267) Full Text: DOI
Dehgardi, Nasrin; Volkmann, Lutz Nonnegative signed total Roman domination in graphs. (English) Zbl 1488.05373 Commun. Comb. Optim. 5, No. 2, 139-155 (2020). MSC: 05C69 PDFBibTeX XMLCite \textit{N. Dehgardi} and \textit{L. Volkmann}, Commun. Comb. Optim. 5, No. 2, 139--155 (2020; Zbl 1488.05373) Full Text: DOI
Volkmann, Lutz Signed total Italian domination in graphs. (English) Zbl 1466.05172 J. Comb. Math. Comb. Comput. 115, 291-305 (2020). MSC: 05C69 PDFBibTeX XMLCite \textit{L. Volkmann}, J. Comb. Math. Comb. Comput. 115, 291--305 (2020; Zbl 1466.05172)
Mojdeh, Doost Ali; Samadi, Babak; Volkmann, Lutz Nordhaus-Gaddum type inequalities for multiple domination and packing parameters in graphs. (English) Zbl 1508.05131 Contrib. Discrete Math. 15, No. 1, 154-162 (2020). MSC: 05C69 05A19 PDFBibTeX XMLCite \textit{D. A. Mojdeh} et al., Contrib. Discrete Math. 15, No. 1, 154--162 (2020; Zbl 1508.05131) Full Text: DOI arXiv
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
Volkmann, L. The signed total Roman domatic number of a digraph. (English) Zbl 1452.05076 J. Comb. Math. Comb. Comput. 110, 205-216 (2019). MSC: 05C20 05C69 PDFBibTeX XMLCite \textit{L. Volkmann}, J. Comb. Math. Comb. Comput. 110, 205--216 (2019; Zbl 1452.05076)
Volkmann, Lutz Signed total Roman \(k\)-domination in graphs. (English) Zbl 1396.05087 J. Comb. Math. Comb. Comput. 105, 105-116 (2018). MSC: 05C69 PDFBibTeX XMLCite \textit{L. Volkmann}, J. Comb. Math. Comb. Comput. 105, 105--116 (2018; Zbl 1396.05087)
Atapour, Maryam; Dehgardi, Nasrin; Volkmann, L. An introduction to the twin signed total -domination numbers in directed graphs. (English) Zbl 1393.05195 RAIRO, Oper. Res. 51, No. 4, 1331-1343 (2017). MSC: 05C69 PDFBibTeX XMLCite \textit{M. Atapour} et al., RAIRO, Oper. Res. 51, No. 4, 1331--1343 (2017; Zbl 1393.05195) Full Text: DOI
Volkmann, Lutz The signed total Roman \(k\)-domatic number of a graph. (English) Zbl 1372.05165 Discuss. Math., Graph Theory 37, No. 4, 1027-1038 (2017). MSC: 05C69 PDFBibTeX XMLCite \textit{L. Volkmann}, Discuss. Math., Graph Theory 37, No. 4, 1027--1038 (2017; Zbl 1372.05165) Full Text: DOI
Volkmann, Lutz Signed total Roman domination in digraphs. (English) Zbl 1354.05063 Discuss. Math., Graph Theory 37, No. 1, 261-272 (2017). MSC: 05C20 05C69 PDFBibTeX XMLCite \textit{L. Volkmann}, Discuss. Math., Graph Theory 37, No. 1, 261--272 (2017; Zbl 1354.05063) Full Text: DOI
Dehgardi, Nasrin; Volkmann, Lutz Signed total Roman \(k\)-domination in directed graphs. (English) Zbl 1365.05218 Commun. Comb. Optim. 1, No. 2, 165-178 (2016). MSC: 05C69 PDFBibTeX XMLCite \textit{N. Dehgardi} and \textit{L. Volkmann}, Commun. Comb. Optim. 1, No. 2, 165--178 (2016; Zbl 1365.05218) Full Text: DOI
Jafari Rad, Nader; Volkmann, Lutz Matchings in \(4\)-total restrained domination vertex critical graphs. (English) Zbl 1413.05291 Ars Comb. 128, 415-428 (2016). MSC: 05C69 PDFBibTeX XMLCite \textit{N. Jafari Rad} and \textit{L. Volkmann}, Ars Comb. 128, 415--428 (2016; Zbl 1413.05291)
Rad, Nader Jafari; Volkmann, Lutz Total restrained reinforcement in graphs. (English) Zbl 1346.05219 AKCE Int. J. Graphs Comb. 13, No. 1, 16-21 (2016). MSC: 05C69 05C35 PDFBibTeX XMLCite \textit{N. J. Rad} and \textit{L. Volkmann}, AKCE Int. J. Graphs Comb. 13, No. 1, 16--21 (2016; Zbl 1346.05219) Full Text: DOI
Volkmann, Lutz Signed total Roman domination in graphs. (English) Zbl 1348.05159 J. Comb. Optim. 32, No. 3, 855-871 (2016). MSC: 05C69 PDFBibTeX XMLCite \textit{L. Volkmann}, J. Comb. Optim. 32, No. 3, 855--871 (2016; Zbl 1348.05159) Full Text: DOI
Volkmann, Lutz On the signed total Roman domination and domatic numbers of graphs. (English) Zbl 1346.05221 Discrete Appl. Math. 214, 179-186 (2016). MSC: 05C69 PDFBibTeX XMLCite \textit{L. Volkmann}, Discrete Appl. Math. 214, 179--186 (2016; Zbl 1346.05221) Full Text: DOI
Atapour, M.; Norouzian, S.; Sheikholeslami, S. M.; Volkmann, L. Bounds on the inverse signed total domination numbers in graphs. (English) Zbl 1336.05099 Opusc. Math. 36, No. 2, 145-152 (2016). MSC: 05C69 05C22 05C07 PDFBibTeX XMLCite \textit{M. Atapour} et al., Opusc. Math. 36, No. 2, 145--152 (2016; Zbl 1336.05099) Full Text: DOI
Volkmann, Lutz Lower bounds on the signed total \(k\)-domination number of graphs. (English) Zbl 1336.05105 Aequationes Math. 90, No. 2, 271-279 (2016). MSC: 05C69 PDFBibTeX XMLCite \textit{L. Volkmann}, Aequationes Math. 90, No. 2, 271--279 (2016; Zbl 1336.05105) Full Text: DOI
Rad, Nader Jafari; Volkmann, Lutz Generalization of the total outer-connected domination in graphs. (English) Zbl 1335.05134 RAIRO, Oper. Res. 50, No. 2, 233-239 (2016). MSC: 05C69 05C40 PDFBibTeX XMLCite \textit{N. J. Rad} and \textit{L. Volkmann}, RAIRO, Oper. Res. 50, No. 2, 233--239 (2016; Zbl 1335.05134) Full Text: DOI
Hosseini Moghaddam, Seyyed Mehdi; Mojdeh, Doost Ali; Samadi, Babak; Volkmann, Lutz New bounds on the signed total domination number of graphs. (English) Zbl 1334.05103 Discuss. Math., Graph Theory 36, No. 2, 467-477 (2016). MSC: 05C69 05C70 PDFBibTeX XMLCite \textit{S. M. Hosseini Moghaddam} et al., Discuss. Math., Graph Theory 36, No. 2, 467--477 (2016; Zbl 1334.05103) Full Text: DOI arXiv
Volkmann, Lutz Upper bounds on the signed total \((k, k)\)-domatic number of graphs. (English) Zbl 1327.05267 Discuss. Math., Graph Theory 35, No. 4, 641-650 (2015). MSC: 05C69 PDFBibTeX XMLCite \textit{L. Volkmann}, Discuss. Math., Graph Theory 35, No. 4, 641--650 (2015; Zbl 1327.05267) Full Text: DOI
Sheikholeslami, S. M.; Volkmann, L. \(k\)-tuple total domatic number of a graph. (English) Zbl 1310.05164 Util. Math. 95, 189-197 (2014). MSC: 05C69 PDFBibTeX XMLCite \textit{S. M. Sheikholeslami} and \textit{L. Volkmann}, Util. Math. 95, 189--197 (2014; Zbl 1310.05164)
Sheikholeslami, S. M.; Volkmann, L. Signed total distance \(k\)-domatic numbers of graphs. (English) Zbl 1299.05257 Mat. Vesn. 65, No. 3, 387-393 (2013). MSC: 05C69 PDFBibTeX XMLCite \textit{S. M. Sheikholeslami} and \textit{L. Volkmann}, Mat. Vesn. 65, No. 3, 387--393 (2013; Zbl 1299.05257)
Rad, Nader Jafari; Hasni, Roslan; Raczek, Joanna; Volkmann, Lutz Total restrained bondage in graphs. (English) Zbl 1283.05208 Acta Math. Sin., Engl. Ser. 29, No. 6, 1033-1042 (2013). MSC: 05C69 PDFBibTeX XMLCite \textit{N. J. Rad} et al., Acta Math. Sin., Engl. Ser. 29, No. 6, 1033--1042 (2013; Zbl 1283.05208) Full Text: DOI
Aram, H.; Sheikholeslami, S. M.; Volkmann, L. On the total \(\{ k\} \)-domination and total \(\{ k\} \)-domatic number of graphs. (English) Zbl 1261.05074 Bull. Malays. Math. Sci. Soc. (2) 36, No. 1, 39-47 (2013). Reviewer: William G. Brown (Montréal) MSC: 05C69 PDFBibTeX XMLCite \textit{H. Aram} et al., Bull. Malays. Math. Sci. Soc. (2) 36, No. 1, 39--47 (2013; Zbl 1261.05074) Full Text: Link
Aram, H.; Sheikholeslami, S. M.; Volkmann, L. On the total domatic number of regular graphs. (English) Zbl 1293.05253 Trans. Comb. 1, No. 1, 45-51 (2012). MSC: 05C69 PDFBibTeX XMLCite \textit{H. Aram} et al., Trans. Comb. 1, No. 1, 45--51 (2012; Zbl 1293.05253)
Alibeigi, Zeinab; Jafari Rad, Nader; Meierling, Dirk; Volkmann, Lutz Total \(\alpha\)-domination in graphs. (English) Zbl 1272.05143 Bull. Inst. Comb. Appl. 66, 72-88 (2012). Reviewer: Mirko Lepović (Kragujevac) MSC: 05C69 PDFBibTeX XMLCite \textit{Z. Alibeigi} et al., Bull. Inst. Comb. Appl. 66, 72--88 (2012; Zbl 1272.05143)
Sheikholeslami, Seyed Mahmoud; Volkmann, Lutz The total \(\{k\}\)-domatic number of digraphs. (English) Zbl 1257.05123 Discuss. Math., Graph Theory 32, No. 3, 461-471 (2012). Reviewer: Sandi Klavžar (Ljubljana) MSC: 05C69 PDFBibTeX XMLCite \textit{S. M. Sheikholeslami} and \textit{L. Volkmann}, Discuss. Math., Graph Theory 32, No. 3, 461--471 (2012; Zbl 1257.05123) Full Text: DOI
Sheikholeslami, S. M.; Volkmann, L. Signed total \(\{K\}\)-domination and \(\{K\}\)-domatic numbers of graphs. (English) Zbl 1247.05180 Discrete Math. Algorithms Appl. 4, No. 1, 1250006, 11 p. (2012). MSC: 05C69 05C22 PDFBibTeX XMLCite \textit{S. M. Sheikholeslami} and \textit{L. Volkmann}, Discrete Math. Algorithms Appl. 4, No. 1, 1250006, 11 p. (2012; Zbl 1247.05180) Full Text: DOI
Sheikholeslami, S. M.; Volkmann, L. The total \(\{k\}\)-domatic number of a graph. (English) Zbl 1243.90229 J. Comb. Optim. 23, No. 2, 252-260 (2012). MSC: 90C35 90C27 PDFBibTeX XMLCite \textit{S. M. Sheikholeslami} and \textit{L. Volkmann}, J. Comb. Optim. 23, No. 2, 252--260 (2012; Zbl 1243.90229) Full Text: DOI
Sheikholeslami, S. M.; Volkmann, L. Signed total \((k,k)\)-domatic number of digraphs. (English) Zbl 1232.05171 Aequationes Math. 83, No. 1-2, 87-96 (2012). MSC: 05C69 05C22 05C20 PDFBibTeX XMLCite \textit{S. M. Sheikholeslami} and \textit{L. Volkmann}, Aequationes Math. 83, No. 1--2, 87--96 (2012; Zbl 1232.05171) Full Text: DOI
Chellali, Mustapha; Favaron, Odile; Hansberg, Adriana; Volkmann, Lutz \(k\)-domination and \(k\)-independence in graphs: A survey. (English) Zbl 1234.05174 Graphs Comb. 28, No. 1, 1-55 (2012). MSC: 05C69 05-02 PDFBibTeX XMLCite \textit{M. Chellali} et al., Graphs Comb. 28, No. 1, 1--55 (2012; Zbl 1234.05174) Full Text: DOI
Sheikholeslami, S. M.; Volkmann, L. Signed total \(k\)-domination numbers of directed graphs. (English) Zbl 1224.05216 An. Științ. Univ. “Ovidius” Constanța, Ser. Mat. 18, No. 2, 241-252 (2010). MSC: 05C20 05C69 05C45 05C22 PDFBibTeX XMLCite \textit{S. M. Sheikholeslami} and \textit{L. Volkmann}, An. Științ. Univ. ``Ovidius'' Constanța, Ser. Mat. 18, No. 2, 241--252 (2010; Zbl 1224.05216) Full Text: EuDML
Hansberg, Adriana; Meierling, Dirk; Volkmann, Lutz A general method in the theory of domination in graphs. (English) Zbl 1214.05105 Int. J. Comput. Math. 87, No. 13, 2915-2924 (2010). MSC: 05C69 05C05 PDFBibTeX XMLCite \textit{A. Hansberg} et al., Int. J. Comput. Math. 87, No. 13, 2915--2924 (2010; Zbl 1214.05105) Full Text: DOI
Chellali, Mustapha; Favaron, Odile; Hansberg, Adriana; Volkmann, Lutz On the \(p\)-domination, the total domination and the connected domination numbers of graphs. (English) Zbl 1198.05120 J. Comb. Math. Comb. Comput. 73, 65-75 (2010). MSC: 05C69 PDFBibTeX XMLCite \textit{M. Chellali} et al., J. Comb. Math. Comb. Comput. 73, 65--75 (2010; Zbl 1198.05120)
Volkmann, Lutz Fundaments of graph theory. (Fundamente der Graphentheorie.) (German) Zbl 0844.05001 Wien: Springer-Verlag. xix, 446 S. (1996). Reviewer: O.R.Oellermann (Killarney) MSC: 05-01 05Cxx PDFBibTeX XMLCite \textit{L. Volkmann}, Fundamente der Graphentheorie. Wien: Springer-Verlag (1996; Zbl 0844.05001)