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
Volkmann, Lutz Weak signed Roman \(k\)-domination in digraphs. (English) Zbl 07797540 Opusc. Math. 44, No. 2, 285-296 (2024). MSC: 05C20 05C69 PDFBibTeX XMLCite \textit{L. Volkmann}, Opusc. Math. 44, No. 2, 285--296 (2024; Zbl 07797540) 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
Volkmann, Lutz Weak signed Roman domination in digraphs. (English) Zbl 1479.05131 Tamkang J. Math. 52, No. 4, 497-508 (2021). MSC: 05C20 05C69 PDFBibTeX XMLCite \textit{L. Volkmann}, Tamkang J. Math. 52, No. 4, 497--508 (2021; Zbl 1479.05131) Full Text: DOI
Volkmann, Lutz Double Italian and double Roman domination in digraphs. (English) Zbl 1464.05299 J. Comb. Math. Comb. Comput. 113, 97-108 (2020). Reviewer: Sandi Klavžar (Ljubljana) MSC: 05C69 05C20 PDFBibTeX XMLCite \textit{L. Volkmann}, J. Comb. Math. Comb. Comput. 113, 97--108 (2020; Zbl 1464.05299)
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
Ouldrabah, Lyes; Blidia, Mostafa; Bouchou, Ahmed; Volkmann, Lutz Extremal digraphs for an upper bound on the double Roman domination number. (English) Zbl 1434.05064 Bull. Malays. Math. Sci. Soc. (2) 43, No. 2, 1153-1162 (2020). MSC: 05C20 05C35 05C69 PDFBibTeX XMLCite \textit{L. Ouldrabah} et al., Bull. Malays. Math. Sci. Soc. (2) 43, No. 2, 1153--1162 (2020; Zbl 1434.05064) 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 Italian domination in digraphs. (English) Zbl 1452.05132 J. Comb. Math. Comb. Comput. 111, 269-278 (2019). MSC: 05C69 05C20 PDFBibTeX XMLCite \textit{L. Volkmann}, J. Comb. Math. Comb. Comput. 111, 269--278 (2019; Zbl 1452.05132)
Hao, Guoliang; Chen, Xiaodan; Volkmann, Lutz Double Roman domination in digraphs. (English) Zbl 1419.05091 Bull. Malays. Math. Sci. Soc. (2) 42, No. 5, 1907-1920 (2019). MSC: 05C20 05C69 PDFBibTeX XMLCite \textit{G. Hao} et al., Bull. Malays. Math. Sci. Soc. (2) 42, No. 5, 1907--1920 (2019; Zbl 1419.05091) Full Text: DOI
Chen, Xiaodan; Hao, Guoliang; Volkmann, Lutz Bounds on the signed Roman \(k\)-domination number of a digraph. (English) Zbl 1401.05213 Discuss. Math., Graph Theory 39, No. 1, 67-79 (2019). MSC: 05C69 05C20 PDFBibTeX XMLCite \textit{X. Chen} et al., Discuss. Math., Graph Theory 39, No. 1, 67--79 (2019; Zbl 1401.05213) Full Text: DOI
Hong, Zhenmu; Volkmann, Lutz; Xu, Junming Sufficient conditions for digraphs to be maximally connected and super-connected. (English) Zbl 1424.05117 J. Univ. Sci. Technol. China 48, No. 8, 612-617 (2018). MSC: 05C20 05C40 PDFBibTeX XMLCite \textit{Z. Hong} et al., J. Univ. Sci. Technol. China 48, No. 8, 612--617 (2018; Zbl 1424.05117) Full Text: DOI
Volkmann, Lutz Signed total 2-independence in digraphs. (English) Zbl 1383.05151 Util. Math. 104, 295-306 (2017). MSC: 05C22 05C20 05C69 PDFBibTeX XMLCite \textit{L. Volkmann}, Util. Math. 104, 295--306 (2017; Zbl 1383.05151)
Meng, Wei; Guo, Jia; Lu, Mei; Guo, Yubao; Volkmann, Lutz Universal arcs in local tournaments. (English) Zbl 1370.05081 Discrete Math. 340, No. 12, 2900-2915 (2017). MSC: 05C20 PDFBibTeX XMLCite \textit{W. Meng} et al., Discrete Math. 340, No. 12, 2900--2915 (2017; Zbl 1370.05081) 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
Abdollahzadeh Ahangar, H.; Amjadi, J.; Sheikholeslami, S. M.; Samodivkin, V.; Volkmann, L. Twin Roman domination number of a digraph. (English) Zbl 1389.05118 Miskolc Math. Notes 17, No. 1, 3-14 (2016). MSC: 05C69 05C20 05C78 PDFBibTeX XMLCite \textit{H. Abdollahzadeh Ahangar} et al., Miskolc Math. Notes 17, No. 1, 3--14 (2016; Zbl 1389.05118) 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
Dehgardi, N.; Meierling, D.; Sheikholeslami, S. M.; Volkmann, L. The Roman bondage number of a digraph. (English) Zbl 1362.05096 Tamkang J. Math. 47, No. 4, 421-432 (2016). MSC: 05C69 05C20 PDFBibTeX XMLCite \textit{N. Dehgardi} et al., Tamkang J. Math. 47, No. 4, 421--432 (2016; Zbl 1362.05096) Full Text: DOI
Sheikholeslami, S. M.; Volkmann, Lutz The \(k\)-rainbow domination and domatic numbers of digraphs. (English) Zbl 1342.05104 Kyungpook Math. J. 56, No. 1, 69-81 (2016). MSC: 05C69 05C20 PDFBibTeX XMLCite \textit{S. M. Sheikholeslami} and \textit{L. Volkmann}, Kyungpook Math. J. 56, No. 1, 69--81 (2016; Zbl 1342.05104) Full Text: DOI
Volkmann, Lutz Signed Roman \(k\)-domination in digraphs. (English) Zbl 1338.05104 Graphs Comb. 32, No. 3, 1217-1227 (2016). MSC: 05C20 05C69 PDFBibTeX XMLCite \textit{L. Volkmann}, Graphs Comb. 32, No. 3, 1217--1227 (2016; Zbl 1338.05104) Full Text: DOI
Sheikholeslami, Seyed Mahmoud; Volkmann, Lutz The signed Roman domatic number of a digraph. (English) Zbl 1467.05099 Electron. J. Graph Theory Appl. 3, No. 1, 85-93 (2015). MSC: 05C20 05C69 PDFBibTeX XMLCite \textit{S. M. Sheikholeslami} and \textit{L. Volkmann}, Electron. J. Graph Theory Appl. 3, No. 1, 85--93 (2015; Zbl 1467.05099) Full Text: DOI
Sheikholeslami, S. M.; Volkmann, L. Signed Roman domination in digraphs. (English) Zbl 1327.05141 J. Comb. Optim. 30, No. 3, 456-467 (2015). MSC: 05C20 05C69 PDFBibTeX XMLCite \textit{S. M. Sheikholeslami} and \textit{L. Volkmann}, J. Comb. Optim. 30, No. 3, 456--467 (2015; Zbl 1327.05141) Full Text: DOI
Sheikholeslami, S. M.; Volkmann, L. Signed star \((j,k)\)-domatic numbers of digraphs. (English) Zbl 1320.05052 Discrete Math. Algorithms Appl. 7, No. 2, Article ID 1550006, 12 p. (2015). Reviewer: Thanin Sitthiwirattham (Bangkok) MSC: 05C20 05C69 PDFBibTeX XMLCite \textit{S. M. Sheikholeslami} and \textit{L. Volkmann}, Discrete Math. Algorithms Appl. 7, No. 2, Article ID 1550006, 12 p. (2015; Zbl 1320.05052) Full Text: DOI
Amjadi, Jafar; Mohammadi, Negar; Sheikholeslami, Seyed Mahmoud; Volkmann, Lutz The \(k\)-rainbow bondage number of a digraph. (English) Zbl 1311.05142 Discuss. Math., Graph Theory 35, No. 2, 261-270 (2015). MSC: 05C69 05C20 05C15 PDFBibTeX XMLCite \textit{J. Amjadi} et al., Discuss. Math., Graph Theory 35, No. 2, 261--270 (2015; Zbl 1311.05142) Full Text: DOI
Volkmann, Lutz Signed total \(k\)-independence in digraphs. (English) Zbl 1464.05169 Filomat 28, No. 10, 2121-2130 (2014). MSC: 05C20 05C69 PDFBibTeX XMLCite \textit{L. Volkmann}, Filomat 28, No. 10, 2121--2130 (2014; Zbl 1464.05169) Full Text: DOI
Dehgardi, N.; Sheikholeslami, S. M.; Meierling, D.; Volkmann, L. Roman reinforcement numbers of digraphs. (English) Zbl 1300.05215 J. Comb. Math. Comb. Comput. 89, 53-64 (2014). MSC: 05C69 05C20 PDFBibTeX XMLCite \textit{N. Dehgardi} et al., J. Comb. Math. Comb. Comput. 89, 53--64 (2014; Zbl 1300.05215)
Holtkamp, Andreas; Volkmann, Lutz Solution of a conjecture of Vandell on decycling bipartite tournaments by deleting arcs. (English) Zbl 1408.05066 J. Comb. Math. Comb. Comput. 87, 3-19 (2013). MSC: 05C20 05C38 PDFBibTeX XMLCite \textit{A. Holtkamp} and \textit{L. Volkmann}, J. Comb. Math. Comb. Comput. 87, 3--19 (2013; Zbl 1408.05066)
Aram, H.; Atapour, M.; Sheikholeslami, S. M.; Volkmann, L. Signed \(k\)-domatic numbers of digraphs. (English) Zbl 1317.05067 Bull. Malays. Math. Sci. Soc. (2) 36, No. 1, 143-150 (2013). Reviewer: Kolja Knauer (Montpellier) MSC: 05C20 05C69 05C45 PDFBibTeX XMLCite \textit{H. Aram} et al., Bull. Malays. Math. Sci. Soc. (2) 36, No. 1, 143--150 (2013; Zbl 1317.05067) Full Text: Link
Sheikholeslami, Seyed Mahmoud; Volkmann, Lutz The signed \((k,k)\)-domatic number of digraphs. (English) Zbl 1257.05052 Math. Commun. 17, No. 2, 537-546 (2012). MSC: 05C20 05C69 05C45 PDFBibTeX XMLCite \textit{S. M. Sheikholeslami} and \textit{L. Volkmann}, Math. Commun. 17, No. 2, 537--546 (2012; Zbl 1257.05052) Full Text: Link
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 \((k,k)\)-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
Volkmann, Lutz Signed domination and signed domatic numbers of digraphs. (English) Zbl 1227.05207 Discuss. Math., Graph Theory 31, No. 3, 415-427 (2011). MSC: 05C69 05C20 05C22 PDFBibTeX XMLCite \textit{L. Volkmann}, Discuss. Math., Graph Theory 31, No. 3, 415--427 (2011; Zbl 1227.05207) Full Text: DOI Link
Dankelmann, Peter; Volkmann, L. The diameter of almost Eulerian digraphs. (English) Zbl 1204.05042 Electron. J. Comb. 17, No. 1, Research Paper R157, 11 p. (2010). MSC: 05C12 05C20 PDFBibTeX XMLCite \textit{P. Dankelmann} and \textit{L. Volkmann}, Electron. J. Comb. 17, No. 1, Research Paper R157, 11 p. (2010; Zbl 1204.05042) Full Text: EuDML EMIS
Dankelmann, Peter; Volkmann, Lutz Minimum size of a graph or digraph of given radius. (English) Zbl 1197.05076 Inf. Process. Lett. 109, No. 16, 971-973 (2009). MSC: 05C35 05C20 05C12 PDFBibTeX XMLCite \textit{P. Dankelmann} and \textit{L. Volkmann}, Inf. Process. Lett. 109, No. 16, 971--973 (2009; Zbl 1197.05076) Full Text: DOI
Volkmann, Lutz; Winzen, Stefan Every cycle-connected multipartite tournament has a universal arc. (English) Zbl 1161.05041 Discrete Math. 309, No. 4, 1013-1017 (2009). MSC: 05C20 05C40 05C38 PDFBibTeX XMLCite \textit{L. Volkmann} and \textit{S. Winzen}, Discrete Math. 309, No. 4, 1013--1017 (2009; Zbl 1161.05041) Full Text: DOI
Meierling, Dirk; Volkmann, Lutz On arc-traceable local tournaments. (English) Zbl 1160.05028 Discrete Math. 308, No. 24, 6513-6526 (2008). MSC: 05C20 05C38 PDFBibTeX XMLCite \textit{D. Meierling} and \textit{L. Volkmann}, Discrete Math. 308, No. 24, 6513--6526 (2008; Zbl 1160.05028) Full Text: DOI
Dankelmann, P.; Volkmann, L. Average distance in bipartite tournaments. (English) Zbl 1174.05050 Ars Comb. 83, 295-306 (2007). MSC: 05C20 05C12 PDFBibTeX XMLCite \textit{P. Dankelmann} and \textit{L. Volkmann}, Ars Comb. 83, 295--306 (2007; Zbl 1174.05050)
Volkmann, Lutz Local-edge-connectivity in digraphs and oriented graphs. (English) Zbl 1133.05055 Discrete Math. 307, No. 24, 3207-3212 (2007). Reviewer: Ján Plesník (Bratislava) MSC: 05C40 05C20 05C12 PDFBibTeX XMLCite \textit{L. Volkmann}, Discrete Math. 307, No. 24, 3207--3212 (2007; Zbl 1133.05055) Full Text: DOI
Volkmann, Lutz; Winzen, Stefan On the connectivity of close to regular multipartite tournaments. (English) Zbl 1099.05053 Discrete Appl. Math. 154, No. 9, 1437-1452 (2006). Reviewer: M. Hager (Leonberg) MSC: 05C40 05C20 PDFBibTeX XMLCite \textit{L. Volkmann} and \textit{S. Winzen}, Discrete Appl. Math. 154, No. 9, 1437--1452 (2006; Zbl 1099.05053) Full Text: DOI
Dankelmann, P.; Volkmann, L. Average distance in \(k\)-connected tournaments. (English) Zbl 1164.05371 Ars Comb. 77, 289-294 (2005). MSC: 05C20 05C12 PDFBibTeX XMLCite \textit{P. Dankelmann} and \textit{L. Volkmann}, Ars Comb. 77, 289--294 (2005; Zbl 1164.05371)
Volkmann, Lutz; Winzen, Stefan Almost regular \(c\)-partite tournaments with \(c\geq 8\) contain an \(n\)-cycle through a given arc for \(4\leq n\leq c\). (English) Zbl 1062.05067 Australas. J. Comb. 31, 61-84 (2005). Reviewer: Wai-Kai Chen (Fremont) MSC: 05C20 PDFBibTeX XMLCite \textit{L. Volkmann} and \textit{S. Winzen}, Australas. J. Comb. 31, 61--84 (2005; Zbl 1062.05067)
Volkmann, Lutz All regular multipartite tournaments that are cycle complementary. (English) Zbl 1049.05043 Discrete Math. 281, No. 1-3, 255-266 (2004). Reviewer: Gregory Gutin (Egham, Surrey) MSC: 05C20 PDFBibTeX XMLCite \textit{L. Volkmann}, Discrete Math. 281, No. 1--3, 255--266 (2004; Zbl 1049.05043) Full Text: DOI
Tewes, Meike; Volkmann, Lutz; Yeo, Anders Almost all almost regular \(c\)-partite tournaments with \(c\geq 5\) are vertex pancyclic. (English) Zbl 0993.05083 Discrete Math. 242, No. 1-3, 201-228 (2002). Reviewer: Gregory Gutin (Egham) MSC: 05C20 05C38 PDFBibTeX XMLCite \textit{M. Tewes} et al., Discrete Math. 242, No. 1--3, 201--228 (2002; Zbl 0993.05083) Full Text: DOI
Volkmann, Lutz Spanning multipartite tournaments of semicomplete multipartite digraphs. (English) Zbl 1065.05047 Ars Comb. 58, 271-278 (2001). Reviewer: Bohdan Zelinka (Liberec) MSC: 05C20 PDFBibTeX XMLCite \textit{L. Volkmann}, Ars Comb. 58, 271--278 (2001; Zbl 1065.05047)
Guo, Yubao; Tewes, Meike; Volkmann, Lutz; Yeo, Anders Sufficient conditions for semicomplete multipartite digraphs to be Hamiltonian. (English) Zbl 0943.05040 Discrete Math. 212, No. 1-2, 91-100 (2000). Reviewer: G.Gutin (Odense) MSC: 05C20 05C45 PDFBibTeX XMLCite \textit{Y. Guo} et al., Discrete Math. 212, No. 1--2, 91--100 (2000; Zbl 0943.05040) Full Text: DOI
Tewes, Meike; Volkmann, Lutz Vertex deletion and cycles in multipartite tournaments. (English) Zbl 0939.05046 Discrete Math. 197-198, 769-779 (1999). Reviewer: Jörgen Bang-Jensen (Odense) MSC: 05C20 05C38 05C40 PDFBibTeX XMLCite \textit{M. Tewes} and \textit{L. Volkmann}, Discrete Math. 197--198, 769--779 (1999; Zbl 0939.05046) Full Text: DOI
Volkmann, Lutz Longest paths in semicomplete multipartite digraphs. (English) Zbl 0928.05036 Discrete Math. 199, No. 1-3, 279-284 (1999). Reviewer: G.Gutin (Odense) MSC: 05C38 05C20 PDFBibTeX XMLCite \textit{L. Volkmann}, Discrete Math. 199, No. 1--3, 279--284 (1999; Zbl 0928.05036) Full Text: DOI
Dankelmann, Peter; Volkmann, Lutz Degree sequence conditions for maximally edge-connected graphs and digraphs. (English) Zbl 0879.05049 J. Graph Theory 26, No. 1, 27-34 (1997). Reviewer: Ján Plesník (Bratislava) MSC: 05C40 05C20 PDFBibTeX XMLCite \textit{P. Dankelmann} and \textit{L. Volkmann}, J. Graph Theory 26, No. 1, 27--34 (1997; Zbl 0879.05049) Full Text: DOI
Bang-Jensen, Jørgen; Guo, Yubao; Volkmann, Lutz Weakly hamiltonian-connected locally semicomplete digraphs. (English) Zbl 0845.05047 J. Graph Theory 21, No. 2, 163-172 (1996). Reviewer: M.Hager (Leonberg) MSC: 05C20 05C75 05C45 PDFBibTeX XMLCite \textit{J. Bang-Jensen} et al., J. Graph Theory 21, No. 2, 163--172 (1996; Zbl 0845.05047) Full Text: DOI
Guo, Yubao; Volkmann, Lutz Locally semicomplete digraphs that are complementary \(m\)-pancyclic. (English) Zbl 0845.05048 J. Graph Theory 21, No. 2, 121-136 (1996). Reviewer: M.Hager (Leonberg) MSC: 05C20 05C45 PDFBibTeX XMLCite \textit{Y. Guo} and \textit{L. Volkmann}, J. Graph Theory 21, No. 2, 121--136 (1996; Zbl 0845.05048) Full Text: DOI
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)
Guo, Yubao; Volkmann, Lutz Connectivity properties of locally semicomplete digraphs. (English) Zbl 0830.05043 J. Graph Theory 18, No. 3, 269-280 (1994). Reviewer: W.Mader (Hannover) MSC: 05C40 05C20 PDFBibTeX XMLCite \textit{Y. Guo} and \textit{L. Volkmann}, J. Graph Theory 18, No. 3, 269--280 (1994; Zbl 0830.05043) Full Text: DOI