Edit Profile (opens in new tab) Volkmann, Lutz Co-Author Distance Author ID: volkmann.lutz Published as: Volkmann, Lutz; Volkmann, L. Homepage: http://www.math2.rwth-aachen.de/volkmann External Links: MGP · dblp Documents Indexed: 489 Publications since 1974, including 6 Books and 1 Additional arXiv Preprint Reviewing Activity: 185 Reviews Biographic References: 3 Publications Co-Authors: 140 Co-Authors with 351 Joint Publications 2,564 Co-Co-Authors all top 5 Co-Authors 137 single-authored 88 Sheikholeslami, Seyed Mahmoud 27 Rautenbach, Dieter 26 Jafari Rad, Nader 22 Hansberg, Adriana 22 Meierling, Dirk 20 Chellali, Mustapha 18 Winzen, Stefan 16 Amjadi, Jafar 16 Dehgardi, Nasrin 16 Fischermann, Miranca 15 Guo, Yubao 15 Hellwig, Angelika 13 Dankelmann, Peter 11 Jank, Gerhard 11 Topp, Jerzy 10 Atapour, Maryam 9 Randerath, Bert 8 Hoffmann, Arne 8 Tewes, Meike 7 Ahangar, Hossein Abdollahzadeh 7 Aram, Hamideh 7 Mojdeh, Doost Ali 6 Samadi, Babak 5 Blidia, Mostafa 5 Favaron, Odile 5 Haynes, Teresa W. 5 Karami, Hossein 5 Khoeilar, Rana 4 Asgharsharghi, Leila 4 Holtkamp, Andreas 4 Nazari-Moghaddam, Sakineh 3 Bahremandpour, A. 3 Ghameshlou, Arezoo Nazi 3 Hao, Guoliang 3 Henning, Michael Anthony 3 Hong, Zhenmu 3 Klinkenberg, Sabine 3 Kosari, Saeed 3 Soroudi, Marzieh 3 Stella, Irene 3 Volkmann, Peter 3 Yeo, Anders 2 Bang-Jensen, Jørgen 2 Bergweiler, Walter 2 Bouchou, Ahmed 2 Chen, Xiaodan 2 Dahme, Franz 2 Dohmen, Lothar 2 Flach, Peter A. 2 He, Zhihong 2 Hosseini Moghaddam, Seyyed Mehdi 2 Kämmerling, Karsten 2 Khan, Aysha 2 Khodkar, Abdollah 2 Korneffel, Torsten 2 Milz, Sebastian 2 Norouzian, Sepideh 2 Ouldrabah, Lyes 2 Samodivkin, Vladimir D. 2 Schiermeyer, Ingo 2 Shao, Zehui 2 Su, Guifu 2 Tong, Jie 2 Ueffing, Nicola 2 Wang, Haichao 2 Zingsem, Axel 2 Zverovich, Vadim E. 1 Akhoundi, Maryam 1 Alibeigi, Zeinab 1 Arumugam, Subramanian 1 Azvin, Farzaneh 1 Bodaghli, Asghar 1 Bongard, Kerstin 1 Bonsma, Paul S. 1 Brosch, Gunnar 1 Brüggemann, Franz 1 Butzer, Paul Leo 1 Chellalil, M. 1 Chen, Fuyuan 1 Chen, Yaojun 1 Chen, Zhibing 1 Doppel, Karl 1 Dunbar, Jean E. 1 Ebrahimi Targhi, E. 1 Escuadro, Henry 1 Falahat, Mohyedin 1 Fujisawa, Jun 1 Furuya, Michitaka 1 Gera, Ralucca 1 Golmohammadi, Hamidreza 1 Guo, Jia 1 Guo, Litao 1 Gutin, Gregory Z. 1 Hajian, Majid 1 Hajypory, Rana 1 Hasni, Roslan 1 Jafari, Rad Nader 1 Joentgen, Arno 1 Kazemi, Adel P. 1 Kubo, Takahiro ...and 40 more Co-Authors all top 5 Serials 69 Discrete Mathematics 36 JCMCC. The Journal of Combinatorial Mathematics and Combinatorial Computing 34 The Australasian Journal of Combinatorics 32 Ars Combinatoria 29 Discrete Applied Mathematics 28 Discussiones Mathematicae. Graph Theory 24 Utilitas Mathematica 23 Communications in Combinatorics and Optimization 18 Journal of Graph Theory 10 Complex Variables. Theory and Application 10 Graphs and Combinatorics 9 AKCE International Journal of Graphs and Combinatorics 8 Applied Mathematics Letters 7 Journal of Combinatorial Optimization 6 Results in Mathematics 6 Aequationes Mathematicae 6 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 5 Tamkang Journal of Mathematics 5 Filomat 5 Opuscula Mathematica 5 RAIRO. Operations Research 4 Information Processing Letters 4 Analele Universității București. Matematică 4 Czechoslovak Mathematical Journal 4 Acta Mathematica Universitatis Comenianae. New Series 4 The Electronic Journal of Combinatorics 4 Acta Mathematica Sinica. English Series 3 Bulletin Mathématique de la Société des Sciences Mathématiques de la République Socialiste de Roumanie. Nouvelle Série 3 Kyungpook Mathematical Journal 3 Analele Științifice ale Universității “Ovidius” Constanța. Seria: Matematică 3 Kragujevac Journal of Mathematics 3 Annales Mathematicae et Informaticae 3 Discrete Mathematics, Algorithms and Applications 2 Revue Roumaine de Mathématiques Pures et Appliquées 2 Analele Științifice ale Universității Al. I. Cuza din Iași. (Serie Nouă.) Secțiunea Ia. Matematică-Informatică 2 Annales Academiae Scientiarum Fennicae. Series A I. Mathematica 2 Archiv der Mathematik 2 Journal of Combinatorial Theory. Series B 2 Journal of the Korean Mathematical Society 2 Matematički Vesnik 2 Mathematica Slovaca 2 Bulletin of the Iranian Mathematical Society 2 International Journal of Computer Mathematics 2 Central European Journal of Mathematics 2 Miskolc Mathematical Notes 2 Contributions to Discrete Mathematics 2 Asian-European Journal of Mathematics 2 Transactions on Combinatorics 2 Electronic Journal of Graph Theory and Applications 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Periodica Mathematica Hungarica 1 Bulletin of the London Mathematical Society 1 Fasciculi Mathematici 1 Journal of Approximation Theory 1 Journal of Combinatorics, Information & System Sciences 1 Mathematische Annalen 1 Mathématica – Revue d’Analyse Numérique et de Théorie de l’Approximation. Mathématica 1 Mathematica Scandinavica 1 Networks 1 Quaestiones Mathematicae 1 Combinatorica 1 Mathematica Bohemica 1 Mathematica Pannonica 1 Discussiones Mathematicae 1 Bulletin of the Institute of Combinatorics and its Applications 1 Mathematical Communications 1 Mathematical Methods of Operations Research 1 Acta Universitatis Apulensis. Mathematics - Informatics 1 Journal of University of Science and Technology of China 1 Algebra and Discrete Mathematics 1 Advanced Studies in Contemporary Mathematics (Kyungshang) 1 Aachener Beiträge zur Mathematik 1 Applicable Analysis and Discrete Mathematics all top 5 Fields 455 Combinatorics (05-XX) 26 Functions of a complex variable (30-XX) 8 Computer science (68-XX) 4 Ordinary differential equations (34-XX) 3 Difference and functional equations (39-XX) 2 General and overarching topics; collections (00-XX) 2 Real functions (26-XX) 2 Operations research, mathematical programming (90-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 History and biography (01-XX) 1 Number theory (11-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Probability theory and stochastic processes (60-XX) 1 Biology and other natural sciences (92-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 383 Publications have been cited 2,816 times in 1,386 Documents Cited by ▼ Year ▼ Introduction to the theory of entire and meromorphic functions with applications to differential equations. (Einführung in die Theorie der ganzen und meromorphen Funktionen mit Anwendungen auf Differentialgleichungen.) Zbl 0682.30001 Jank, Gerhard; Volkmann, Lutz 87 1985 \(k\)-domination and \(k\)-independence in graphs: A survey. Zbl 1234.05174 Chellali, Mustapha; Favaron, Odile; Hansberg, Adriana; Volkmann, Lutz 82 2012 Maximally edge-connected and vertex-connected graphs and digraphs: A survey. Zbl 1160.05038 Hellwig, Angelika; Volkmann, Lutz 80 2008 Edge-cuts leaving components of order at least three. Zbl 1017.05063 Bonsma, Paul; Ueffing, Nicola; Volkmann, Lutz 57 2002 Meromorphe Funktionen, die mit ihrer ersten und zweiten Ableitung einen endlichen Wert teilen. (Meromorphic functions which share some finite value with its first and second derivative). Zbl 0603.30037 Jank, Gerhard; Mues, Erwin; Volkmann, Lutz 55 1986 Wiener index versus maximum degree in trees. Zbl 0993.05061 Fischermann, Miranca; Hoffmann, Arne; Rautenbach, Dieter; Székely, László; Volkmann, Lutz 55 2002 Varieties of Roman domination. II. Zbl 1468.05202 Chellali, M.; Jafari Rad, N.; Sheikholeslami, S. M.; Volkmann, L. 46 2020 Roman domination in graphs. Zbl 1479.05255 Chellali, Mustapha; Rad, Nader Jafari; Sheikholeslami, Seyed Mahmoud; Volkmann, Lutz 45 2020 Double Roman domination and domatic numbers of graphs. Zbl 1384.05128 Volkmann, Lutz 40 2018 Sufficient conditions for graphs to be \(\lambda'\)-optimal, super-edge-connected, and maximally edge-connected. Zbl 1062.05084 Hellwig, Angelika; Volkmann, Lutz 39 2005 A classification of locally semicomplete digraphs. Zbl 0873.05072 Bang-Jensen, Jørgen; Guo, Yubao; Gutin, Gregory; Volkmann, Lutz 35 1997 Varieties of Roman domination. Zbl 1479.05253 Chellali, M.; Rad, N. Jafari; Sheikholeslami, S. M.; Volkmann, L. 35 2021 Cycles in multipartite tournaments: Results and problems. Zbl 0996.05063 Volkmann, Lutz 34 2002 New bounds on the \(k\)-domination number and the \(k\)-tuple domination number. Zbl 1137.05054 Rautenbach, Dieter; Volkmann, Lutz 31 2007 Multipartite tournaments: a survey. Zbl 1134.05033 Volkmann, Lutz 30 2007 Sufficient conditions for \(\lambda'\)-optimality in graphs of diameter 2. Zbl 1042.05056 Hellwig, Angelika; Volkmann, Lutz 28 2004 Upper bounds on the \(k\)-domination number and the \(k\)-Roman domination number. Zbl 1179.05081 Hansberg, Adriana; Volkmann, Lutz 27 2009 Bondage, insensitivity, and reinforcement. Zbl 0894.05025 Dunbar, Jean E.; Teschner, Ulrich; Haynes, Teresa W.; Volkmann, Lutz 27 1998 Inverse degree and edge-connectivity. Zbl 1203.05082 Dankelmann, Peter; Hellwig, Angelika; Volkmann, Lutz 26 2009 On \(k\)-domination and minimum degree in graphs. Zbl 1211.05110 Favaron, Odile; Hansberg, Adriana; Volkmann, Lutz 26 2008 Restricted arc-connectivity of digraphs. Zbl 1183.05046 Volkmann, Lutz 25 2007 Signed Roman domination in digraphs. Zbl 1327.05141 Sheikholeslami, S. M.; Volkmann, L. 24 2015 An upper bound on the double Roman domination number. Zbl 1437.05177 Amjadi, J.; Nazari-Moghaddam, S.; Sheikholeslami, S. M.; Volkmann, L. 24 2018 Signed total Roman domination in graphs. Zbl 1348.05159 Volkmann, Lutz 24 2016 A survey on Roman domination parameters in directed graphs. Zbl 1466.05161 Chellalil, M.; Rad, N. Jafari; Sheikholeslami, S. M.; Volkmann, L. 22 2020 Total double Roman domination in graphs. Zbl 1449.05200 Hao, Guoliang; Volkmann, Lutz; Mojdeh, Doost Ali 22 2020 Vertex pancyclic graphs. Zbl 1001.05070 Randerath, Bert; Schiermeyer, Ingo; Tewes, Meike; Volkmann, Lutz 21 2002 Roman domination perfect graphs. Zbl 1313.05284 Rad, Nader Jafari; Volkmann, Lutz 21 2011 The \(k\)-rainbow domatic number of a graph. Zbl 1255.05139 Sheikholeslami, Seyyed Mahmoud; Volkmann, Lutz 20 2012 Maximal Roman domination numbers in graphs. Zbl 1373.05133 Ahangar, H. Abdollahzadeh; Bahremandpour, A.; Sheikholeslami, S. M.; Soner, N. D.; Tahmasbzadehbaee, Z.; Volkmann, L. 20 2017 On the well coveredness of products of graphs. Zbl 0776.05090 Topp, Jerzy; Volkmann, Lutz 20 1992 Connectivity properties of locally semicomplete digraphs. Zbl 0830.05043 Guo, Yubao; Volkmann, Lutz 20 1994 Signed Roman \(k\)-domination in graphs. Zbl 1331.05170 Henning, Michael A.; Volkmann, Lutz 20 2016 Total Roman domination number of trees. Zbl 1375.05190 Amjadi, J.; Nazari-Moghaddam, S.; Sheikholeslami, S. M.; Volkmann, L. 19 2017 Restricted edge-connectivity and minimum edge-degree. Zbl 1078.05053 Ueffing, Nicola; Volkmann, Lutz 18 2003 On packing and covering numbers of graphs. Zbl 0759.05077 Topp, Jerzy; Volkmann, Lutz 18 1991 Bounds on the outer-independent double Italian domination number. Zbl 1488.05362 Azvin, Farzaneh; Jafari, Rad Nader; Volkmann, Lutz 18 2021 Characterization of graphs with equal domination and covering number. Zbl 0955.05088 Randerath, Bert; Volkmann, Lutz 17 1998 Class 1 conditions depending on the minimum degree and the number of vertices of maximum degree. Zbl 0704.05041 Niessen, Thomas; Volkmann, Lutz 17 1990 Degree sequence conditions for maximally edge-connected graphs and digraphs. Zbl 0879.05049 Dankelmann, Peter; Volkmann, Lutz 17 1997 Signed total Roman domination in digraphs. Zbl 1354.05063 Volkmann, Lutz 17 2017 New sufficient conditions for equality of minimum degree and edge-connectivity. Zbl 0839.05065 Dankelmann, Peter; Volkmann, Lutz 16 1995 Roman \(k\)-domination in graphs. Zbl 1177.05084 Kämmerling, Karsten; Volkmann, Lutz 16 2009 Well covered and well dominated block graphs and unicyclic graphs. Zbl 0728.05031 Topp, Jerzy; Volkmann, Lutz 16 1990 Nordhaus-Gaddum bounds on the \(k\)-rainbow domatic number of a graph. Zbl 1222.05200 Meierling, D.; Sheikholeslami, S. M.; Volkmann, L. 15 2011 Cuts leaving components of given minimum order. Zbl 1063.05079 Hellwig, Angelika; Rautenbach, Dieter; Volkmann, Lutz 15 2005 The Roman domination number of a digraph. Zbl 1265.05470 Sheikholeslami, S. M.; Volkmann, L. 14 2011 Signed domatic number of a graph. Zbl 1079.05071 Volkmann, Lutz; Zelinka, Bohdan 14 2005 Almost all almost regular \(c\)-partite tournaments with \(c\geq 5\) are vertex pancyclic. Zbl 0993.05083 Tewes, Meike; Volkmann, Lutz; Yeo, Anders 14 2002 Some bounds on the \(p\)-domination number in trees. Zbl 1100.05069 Blidia, Mostafa; Chellali, Mustapha; Volkmann, Lutz 14 2006 Cycles in multipartite tournaments. Zbl 0807.05034 Guo, Yubao; Volkmann, Lutz 14 1994 The rainbow domination subdivision numbers of graph. Zbl 1464.05284 Dehgardi, N.; Sheikholeslami, S. M.; Volkmann, L. 14 2015 Global Roman domination in trees. Zbl 1318.05049 Atapour, M.; Sheikholeslami, S. M.; Volkmann, L. 14 2015 Roman \(\{ 3 \}\)-domination (double Italian domination). Zbl 1442.05165 Mojdeh, Doost Ali; Volkmann, Lutz 14 2020 On the geodetic and geodetic domination numbers of a graph. Zbl 1219.05119 Hansberg, A.; Volkmann, L. 14 2010 Fundaments of graph theory. (Fundamente der Graphentheorie.) Zbl 0844.05001 Volkmann, Lutz 13 1996 On complementary cycles in locally semicomplete digraphs. Zbl 0816.05036 Guo, Yubao; Volkmann, Lutz 13 1994 A new domination conception. Zbl 0777.05074 Stracke, Christoph; Volkmann, Lutz 13 1993 A characterization of well covered block-cactus graphs. Zbl 0805.05070 Randerath, Bert; Volkmann, Lutz 13 1994 Signed Roman \(k\)-domination in trees. Zbl 1311.05150 Henning, Michael A.; Volkmann, Lutz 13 2015 Changing and unchanging the roman domination number of graph. Zbl 1273.05162 Jafari Rad, Nader; Volkmann, Lutz 13 2012 Total and connected domination in digraphs. Zbl 1244.05163 Arumugam, S.; Jacob, K.; Volkmann, Lutz 12 2007 On graphs with equal domination and 2-domination numbers. Zbl 1145.05041 Hansberg, Adriana; Volkmann, Lutz 12 2008 Vertex deletion and cycles in multipartite tournaments. Zbl 0939.05046 Tewes, Meike; Volkmann, Lutz 12 1999 New bounds on the rainbow domination subdivision number. Zbl 1464.05286 Falahat, Mohyedin; Sheikholeslami, Seyed Mahmoud; Volkmann, Lutz 12 2014 On the signed total Roman domination and domatic numbers of graphs. Zbl 1346.05221 Volkmann, Lutz 12 2016 The roman domatic number of a graph. Zbl 1193.05129 Sheikholeslami, S. M.; Volkmann, L. 12 2010 Remarks on the bondage number of planar graphs. Zbl 1009.05104 Fischermann, Miranca; Rautenbach, Dieter; Volkmann, Lutz 11 2003 On cycles through a given vertex in multipartite tournaments. Zbl 0883.05087 Guo, Yubao; Pinkernell, Axel; Volkmann, Lutz 11 1997 The \(k\)-rainbow bondage number of a graph. Zbl 1297.05080 Dehgardi, N.; Sheikholeslami, S. M.; Volkmann, L. 11 2014 Signed Roman edge domination numbers in graphs. Zbl 1331.05165 Ahangar, H. Abdollahzadeh; Amjadi, J.; Sheikholeslami, S. M.; Volkmann, L.; Zhao, Y. 11 2016 Graphs with large geodetic number. Zbl 1464.05276 Ahangar, Hossein Abdollahzadeh; Kosari, Saeed; Sheikholeslami, Seyed Mahmoud; Volkmann, Lutz 11 2015 Twin signed Roman domination numbers in directed graphs. Zbl 1358.05209 Bodaghli, Asghar; Sheikholeslami, Seyed Mahmoud; Volkmann, Lutz 11 2016 The \(k\)-rainbow reinforcement numbers in graphs. Zbl 1358.05205 Amjadi, J.; Asgharsharghi, L.; Dehgardi, N.; Furuya, M.; Sheikholeslami, S. M.; Volkmann, L. 11 2017 A linear-programming approach to the generalized Randić index. Zbl 1020.05036 Fischermann, Miranca; Hoffmann, Arne; Rautenbach, Dieter; Volkmann, Lutz 11 2003 The Roman domatic problem in graphs and digraphs: a survey. Zbl 1492.05113 Chellali, Mustapha; Rad, Nader Jafari; Sheikholeslami, Seyed Mahmoud; Volkmann, Lutz 11 2022 The double Roman domatic number of a graph. Zbl 1390.05181 Volkmann, Lutz 11 2018 Signed total Roman \(k\)-domination in graphs. Zbl 1396.05087 Volkmann, Lutz 11 2018 Roman bondage in graphs. Zbl 1255.05137 Jafari Rad, Nader; Volkmann, Lutz 10 2011 Independence and \(k\)-domination in graphs. Zbl 1210.05096 Hansberg, Adriana; Meierling, Dirk; Volkmann, Lutz 10 2011 Tree-Ramsey numbers. Zbl 0828.05043 Guo, Yubao; Volkmann, Lutz 10 1995 Degree sequence conditions for maximally edge-connected graphs depending on the clique number. Zbl 0941.05019 Dankelmann, Peter; Volkmann, Lutz 10 2000 On graphs with equal domination and independent domination numbers. Zbl 0746.05073 Topp, Jerzy; Volkmann, Lutz 10 1991 On graphs with equal domination and covering numbers. Zbl 0803.05049 Volkmann, Lutz 10 1994 Vertex and edge critical Roman domination in graphs. Zbl 1293.05264 Jafari Rad, Nader; Hansberg, Adriana; Volkmann, Lutz 10 2013 Almost regular \(c\)-partite tournaments contain a strong subtournament of order \(c\) when \(c\geqslant 5\). Zbl 1139.05028 Volkmann, Lutz; Winzen, Stefan 9 2008 Strong subtournaments of multipartite tournaments. Zbl 0935.05051 Volkmann, Lutz 9 1999 Vertex pancyclic in-tournaments. Zbl 0971.05052 Tewes, Meike; Volkmann, Lutz 9 2001 Sufficient conditions for equality of connectivity and minimum degree of a graph. Zbl 0794.05063 Topp, Jerzy; Volkmann, Lutz 9 1993 Signed total Roman \(k\)-domination in directed graphs. Zbl 1365.05218 Dehgardi, Nasrin; Volkmann, Lutz 9 2016 Signed Roman \(k\)-domination in digraphs. Zbl 1338.05104 Volkmann, Lutz 9 2016 The signed Roman domatic number of a graph. Zbl 1274.05366 Sheikholeslami, Seyed Mahmoud; Volkmann, Lutz 9 2012 Distance domination and distance irredundance in graphs. Zbl 1122.05070 Hansberg, Adriana; Meierling, Dirk; Volkmann, Lutz 8 2007 Independence and 2-domination in bipartite graphs. Zbl 1147.05052 Fujisawa, Jun; Hansberg, Adriana; Kubo, Takahiro; Saito, Akira; Sugita, Masahide; Volkmann, Lutz 8 2008 Geodetic domination in graphs. Zbl 1238.05072 Escuadro, H.; Gera, R.; Hansberg, A.; Rad, N. Jafari; Volkmann, L. 8 2011 The signed \(k\)-domination number of directed graphs. Zbl 1223.05092 Atapour, Maryam; Sheikholeslami, Seyyed Mahmoud; Hajypory, Rana; Volkmann, Lutz 8 2010 Locally semicomplete digraphs that are complementary \(m\)-pancyclic. Zbl 0845.05048 Guo, Yubao; Volkmann, Lutz 8 1996 The connectivity of a graph and its complement. Zbl 1178.05055 Hellwig, Angelika; Volkmann, Lutz 8 2008 A note on the number of matchings and independent sets in trees. Zbl 1056.05035 Fischermann, Miranca; Volkmann, Lutz; Rautenbach, Dieter 8 2005 Complementary cycles in regular multipartite tournaments, where one cycle has length four. Zbl 1063.05064 Volkmann, Lutz 8 2004 Restrained double Italian domination in graphs. Zbl 1524.05232 Volkmann, Lutz 4 2023 Remarks on the restrained Italian domination number in graphs. Zbl 1524.05234 Volkmann, Lutz 4 2023 The Roman domatic problem in graphs and digraphs: a survey. Zbl 1492.05113 Chellali, Mustapha; Rad, Nader Jafari; Sheikholeslami, Seyed Mahmoud; Volkmann, Lutz 11 2022 Restrained double Roman domination of a graph. Zbl 1497.05210 Mojdeh, Doost Ali; Masoumi, Iman; Volkmann, Lutz 3 2022 Varieties of Roman domination. Zbl 1479.05253 Chellali, M.; Rad, N. Jafari; Sheikholeslami, S. M.; Volkmann, L. 35 2021 Bounds on the outer-independent double Italian domination number. Zbl 1488.05362 Azvin, Farzaneh; Jafari, Rad Nader; Volkmann, Lutz 18 2021 Oriented diameter of maximal outerplanar graphs. Zbl 1522.05085 Wang, Xiaolin; Chen, Yaojun; Dankelmann, Peter; Guo, Yubao; Surmacs, Michel; Volkmann, Lutz 4 2021 Weak signed Roman \(k\)-domination in graphs. Zbl 1488.05399 Volkmann, Lutz 3 2021 Signed total Italian \(k\)-domination in graphs. Zbl 1488.05400 Volkmann, Lutz 3 2021 Total vertex-edge domination in trees. Zbl 1487.05188 Ahangar, H. Abdollahzadeh; Chellali, M.; Sheikholeslami, S. M.; Soroudi, M.; Volkmann, L. 2 2021 Domination number, independent domination number and 2-independence number in trees. Zbl 1453.05089 Dehgardi, Nasrin; Sheikholeslami, Seyed Mahmoud; Valinavaz, Mina; Aram, Hamideh; Volkmann, Lutz 1 2021 Weak signed Roman domination in digraphs. Zbl 1479.05131 Volkmann, Lutz 1 2021 Remarks on the outer-independent double Italian domination number. Zbl 1469.05138 Volkmann, Lutz 1 2021 Nordhaus-Gaddum type results for connected and total domination. Zbl 1469.05133 Khoeilar, Rana; Karami, Hossein; Chellali, Mustapha; Sheikholeslami, Seyed Mahmoud; Volkmann, Lutz 1 2021 Varieties of Roman domination. II. Zbl 1468.05202 Chellali, M.; Jafari Rad, N.; Sheikholeslami, S. M.; Volkmann, L. 46 2020 Roman domination in graphs. Zbl 1479.05255 Chellali, Mustapha; Rad, Nader Jafari; Sheikholeslami, Seyed Mahmoud; Volkmann, Lutz 45 2020 A survey on Roman domination parameters in directed graphs. Zbl 1466.05161 Chellalil, M.; Rad, N. Jafari; Sheikholeslami, S. M.; Volkmann, L. 22 2020 Total double Roman domination in graphs. Zbl 1449.05200 Hao, Guoliang; Volkmann, Lutz; Mojdeh, Doost Ali 22 2020 Roman \(\{ 3 \}\)-domination (double Italian domination). Zbl 1442.05165 Mojdeh, Doost Ali; Volkmann, Lutz 14 2020 Graphs with large Italian domination number. Zbl 1451.05174 Haynes, Teresa W.; Henning, Michael A.; Volkmann, Lutz 7 2020 Weak signed Roman domination in graphs. Zbl 1488.05398 Volkmann, Lutz 6 2020 Multiple domination. Zbl 1479.05267 Hansberg, Adriana; Volkmann, Lutz 5 2020 On the signed Roman \(k\)-domination in graphs. Zbl 1452.05115 Amjadi, J.; Nazari-Moghaddam, S.; Sheikholeslami, S. M.; Volkmann, L. 3 2020 Signed total Italian domination in graphs. Zbl 1466.05172 Volkmann, Lutz 3 2020 Nordhaus-Gaddum type inequalities for multiple domination and packing parameters in graphs. Zbl 1508.05131 Mojdeh, Doost Ali; Samadi, Babak; Volkmann, Lutz 1 2020 The double Roman domatic number of a digraph. Zbl 1446.05074 Volkmann, Lutz 1 2020 Critical concept for double Roman domination in graphs. Zbl 1456.05125 Nazari-Moghaddam, S.; Volkmann, L. 1 2020 A note on the Roman domatic number of a digraph. Zbl 1449.05205 Volkmann, Lutz; Meierling, D. 1 2020 Nonnegative signed total Roman domination in graphs. Zbl 1488.05373 Dehgardi, Nasrin; Volkmann, Lutz 1 2020 The Italian domatic number of a digraph. Zbl 1412.05085 Volkmann, Lutz 8 2019 The Roman \(\{2 \}\)-domatic number of graphs. Zbl 1407.05185 Volkmann, Lutz 6 2019 Double Roman domination in digraphs. Zbl 1419.05091 Hao, Guoliang; Chen, Xiaodan; Volkmann, Lutz 6 2019 Nonnegative signed Roman domination in graphs. Zbl 1452.05119 Dehgardi, Nasrin; Volkmann, L. 5 2019 Italian domination in digraphs. Zbl 1452.05132 Volkmann, Lutz 4 2019 Bounds on the signed Roman \(k\)-domination number of a digraph. Zbl 1401.05213 Chen, Xiaodan; Hao, Guoliang; Volkmann, Lutz 3 2019 Bounds on the fair total domination number in trees and unicyclic graphs. Zbl 1419.05168 Hajian, Majid; Rad, Nader Jafari; Volkmann, Lutz 2 2019 On the co-Roman domination in graphs. Zbl 1404.05158 Shao, Zehui; Sheikholeslami, Seyed Mahmoud; Soroudi, Marzieh; Volkmann, Lutz; Liu, Xinmiao 2 2019 Signed edge \(k\)-independence in graphs. Zbl 1428.05231 Dehgardi, Nasrin; Volkmann, Lutz 1 2019 Locating Roman domination in graphs. Zbl 1427.05168 Rad, Nader Jafari; Rahbani, Hadi; Volkmann, Lutz 1 2019 Nonnegative signed edge domination in graphs. Zbl 1488.05374 Dehgardi, N.; Volkmann, L. 1 2019 Double Roman domination and domatic numbers of graphs. Zbl 1384.05128 Volkmann, Lutz 40 2018 An upper bound on the double Roman domination number. Zbl 1437.05177 Amjadi, J.; Nazari-Moghaddam, S.; Sheikholeslami, S. M.; Volkmann, L. 24 2018 The double Roman domatic number of a graph. Zbl 1390.05181 Volkmann, Lutz 11 2018 Signed total Roman \(k\)-domination in graphs. Zbl 1396.05087 Volkmann, Lutz 11 2018 Relating the annihilation number and the Roman domination number. Zbl 1413.05278 Aram, H.; Khoeilar, R.; Sheikholeslami, S. M.; Volkmann, L. 3 2018 The restrained rainbow bondage number of a graph. Zbl 1400.05168 Amjadi, J.; Dehgardi, N.; Khoeilar, R.; Sheikholeslami, S. M.; Volkmann, L. 2 2018 Degree sequence conditions for maximally edge-connected and super-edge-connected digraphs depending on the clique number. Zbl 1376.05065 Milz, Sebastian; Volkmann, Lutz 1 2018 Maximal Roman domination numbers in graphs. Zbl 1373.05133 Ahangar, H. Abdollahzadeh; Bahremandpour, A.; Sheikholeslami, S. M.; Soner, N. D.; Tahmasbzadehbaee, Z.; Volkmann, L. 20 2017 Total Roman domination number of trees. Zbl 1375.05190 Amjadi, J.; Nazari-Moghaddam, S.; Sheikholeslami, S. M.; Volkmann, L. 19 2017 Signed total Roman domination in digraphs. Zbl 1354.05063 Volkmann, Lutz 17 2017 The \(k\)-rainbow reinforcement numbers in graphs. Zbl 1358.05205 Amjadi, J.; Asgharsharghi, L.; Dehgardi, N.; Furuya, M.; Sheikholeslami, S. M.; Volkmann, L. 11 2017 Sufficient conditions on the zeroth-order general Randić index for maximally edge-connected graphs. Zbl 1352.05098 Chen, Zhibing; Su, Guifu; Volkmann, Lutz 7 2017 Twin signed domination numbers in directed graphs. Zbl 1386.05130 Atapour, Maryam; Norouzian, Sepideh; Sheikholeslami, Seyed Mahmoud; Volkmann, Lutz 5 2017 The signed total Roman \(k\)-domatic number of a graph. Zbl 1372.05165 Volkmann, Lutz 4 2017 Sufficient conditions for maximally edge-connected and super-edge-connected. Zbl 1386.05098 Volkmann, Lutz; Hong, Zhen-Mu 3 2017 Roman game domination number of a graph. Zbl 1409.91056 Bahremandpour, A.; Sheikholeslami, S. M.; Volkmann, L. 2 2017 On the signed \(2\)-independence number of graphs. Zbl 1467.05189 Hosseini Moghaddam, S. M.; Mojdeh, D. A.; Samadi, Babak; Volkmann, Lutz 2 2017 Bounds on the \(l\)-total \(k\)-domatic number of a graph. Zbl 1383.05247 Volkmann, Lutz 1 2017 Signed Roman edge \(k\)-domination in graphs. Zbl 1354.05102 Asgharsharghi, Leila; Sheikholeslami, Seyed Mahmoud; Volkmann, Lutz 1 2017 Twin signed Roman domatic numbers in digraphs. Zbl 1377.05146 Sheikholeslami, Seyed Mahmoud; Volkmann, Lutz 1 2017 Lower bounds on the signed \(k\)-domination number of graphs. Zbl 1463.05427 Volkmann, Lutz 1 2017 An introduction to the twin signed total -domination numbers in directed graphs. Zbl 1393.05195 Atapour, Maryam; Dehgardi, Nasrin; Volkmann, L. 1 2017 Universal arcs in local tournaments. Zbl 1370.05081 Meng, Wei; Guo, Jia; Lu, Mei; Guo, Yubao; Volkmann, Lutz 1 2017 Signed total Roman domination in graphs. Zbl 1348.05159 Volkmann, Lutz 24 2016 Signed Roman \(k\)-domination in graphs. Zbl 1331.05170 Henning, Michael A.; Volkmann, Lutz 20 2016 On the signed total Roman domination and domatic numbers of graphs. Zbl 1346.05221 Volkmann, Lutz 12 2016 Signed Roman edge domination numbers in graphs. Zbl 1331.05165 Ahangar, H. Abdollahzadeh; Amjadi, J.; Sheikholeslami, S. M.; Volkmann, L.; Zhao, Y. 11 2016 Twin signed Roman domination numbers in directed graphs. Zbl 1358.05209 Bodaghli, Asghar; Sheikholeslami, Seyed Mahmoud; Volkmann, Lutz 11 2016 Signed total Roman \(k\)-domination in directed graphs. Zbl 1365.05218 Dehgardi, Nasrin; Volkmann, Lutz 9 2016 Signed Roman \(k\)-domination in digraphs. Zbl 1338.05104 Volkmann, Lutz 9 2016 Claw-free graphs with equal 2-domination and domination numbers. Zbl 1462.05277 Hansberg, Adriana; Randerath, Bert; Volkmann, Lutz 7 2016 Sufficient conditions on the zeroth-order general Randić index for maximally edge-connected digraphs. Zbl 1365.05114 Volkmann, L. 5 2016 The signed Roman \(k\)-domatic number of digraphs. Zbl 1333.05232 Volkmann, Lutz 4 2016 Global rainbow domination in graphs. Zbl 1389.05119 Amjadi, J.; Sheikholeslami, S. M.; Volkmann, L. 4 2016 Signed mixed Roman domination numbers in graphs. Zbl 1352.05140 Abdollahzadeh Ahangar, H.; Asgharsharghi, L.; Sheikholeslami, S. M.; Volkmann, L. 3 2016 Rainbow restrained domination numbers in graphs. Zbl 1413.05275 Amjadi, J.; Sheikholeslami, S. M.; Volkmann, L. 3 2016 On the rainbow restrained domination number. Zbl 1413.05271 Ahangar, H. Abdollahzadeh; Amjadi, J.; Sheikholeslami, S. M.; Samodivkin, V.; Volkmann, L. 3 2016 Lower bounds on the signed total \(k\)-domination number of graphs. Zbl 1336.05105 Volkmann, Lutz 3 2016 Edge-removal and edge-addition in \(\alpha \)-domination. Zbl 1338.05203 Jafari Rad, Nader; Volkmann, Lutz 3 2016 The \(k\)-rainbow domination and domatic numbers of digraphs. Zbl 1342.05104 Sheikholeslami, S. M.; Volkmann, Lutz 2 2016 New bounds on the signed total domination number of graphs. Zbl 1334.05103 Hosseini Moghaddam, Seyyed Mehdi; Mojdeh, Doost Ali; Samadi, Babak; Volkmann, Lutz 1 2016 Total restrained reinforcement in graphs. Zbl 1346.05219 Rad, Nader Jafari; Volkmann, Lutz 1 2016 Signed Roman domination in digraphs. Zbl 1327.05141 Sheikholeslami, S. M.; Volkmann, L. 24 2015 The rainbow domination subdivision numbers of graph. Zbl 1464.05284 Dehgardi, N.; Sheikholeslami, S. M.; Volkmann, L. 14 2015 Global Roman domination in trees. Zbl 1318.05049 Atapour, M.; Sheikholeslami, S. M.; Volkmann, L. 14 2015 Signed Roman \(k\)-domination in trees. Zbl 1311.05150 Henning, Michael A.; Volkmann, Lutz 13 2015 Graphs with large geodetic number. Zbl 1464.05276 Ahangar, Hossein Abdollahzadeh; Kosari, Saeed; Sheikholeslami, Seyed Mahmoud; Volkmann, Lutz 11 2015 The signed Roman domatic number of a digraph. Zbl 1467.05099 Sheikholeslami, Seyed Mahmoud; Volkmann, Lutz 7 2015 The signed Roman \(k\)-domatic number of a graph. Zbl 1303.05147 Volkmann, Lutz 6 2015 The \(k\)-rainbow bondage number of a digraph. Zbl 1311.05142 Amjadi, Jafar; Mohammadi, Negar; Sheikholeslami, Seyed Mahmoud; Volkmann, Lutz 2 2015 Upper bounds on the signed \((k,k)\)-domatic number of digraphs. Zbl 1322.05067 Volkmann, Lutz 1 2015 On the signed (total) \(k\)-independence number in graphs. Zbl 1327.05261 Khodkar, Abdollah; Samadi, Babak; Volkmann, Lutz 1 2015 New bounds on the rainbow domination subdivision number. Zbl 1464.05286 Falahat, Mohyedin; Sheikholeslami, Seyed Mahmoud; Volkmann, Lutz 12 2014 The \(k\)-rainbow bondage number of a graph. Zbl 1297.05080 Dehgardi, N.; Sheikholeslami, S. M.; Volkmann, L. 11 2014 \(k\)-tuple total domatic number of a graph. Zbl 1310.05164 Sheikholeslami, S. M.; Volkmann, L. 3 2014 Upper bounds for the domination number in graphs of diameter two. Zbl 1293.05270 Meierling, Dirk; Volkmann, Lutz 3 2014 Bounds on the \(k\)-independence and \(k\)-chromatic numbers of graphs. Zbl 1313.05106 Blidia, Mostafa; Bouchou, Ahmed; Volkmann, Lutz 1 2014 Complementary cycles in almost regular multipartite tournaments. Zbl 1324.05078 He, Zhihong; Volkmann, Lutz; Wang, Yan 1 2014 Signed star \((k,k)\)-domatic number of a graph. Zbl 1328.05143 Sheikholeslami, S. M.; Volkmann, L. 1 2014 Signed \(k\)-independence in graphs. Zbl 1284.05205 Volkmann, Lutz 1 2014 ...and 283 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,470 Authors 164 Volkmann, Lutz 85 Sheikholeslami, Seyed Mahmoud 55 Chellali, Mustapha 42 Henning, Michael Anthony 39 Amjadi, Jafar 37 Jafari Rad, Nader 28 Ahangar, Hossein Abdollahzadeh 27 Rautenbach, Dieter 21 Wang, Shiying 21 Zhang, Zhao 20 Meng, Jixiang 20 Xu, Junming 19 Guo, Yubao 19 Mojdeh, Doost Ali 18 Balbuena, Camino 17 Dankelmann, Peter 17 Shao, Zehui 16 García-Vázquez, Pedro 16 Hao, Guoliang 16 Meierling, Dirk 15 Dehgardi, Nasrin 15 Wang, Hua 15 Yi, Hongxun 14 Khoeilar, Rana 14 Nazari-Moghaddam, Sakineh 13 Bang-Jensen, Jørgen 12 Hansberg, Adriana 12 Lin, Shangwei 11 Bergweiler, Walter 11 Cabrera Martínez, Abel 11 Haynes, Teresa W. 11 Klavžar, Sandi 11 Li, Xiaomin 11 Shan, Erfang 11 Wang, Jun 10 Blidia, Mostafa 10 Bujtás, Csilla 10 Hellwig, Angelika 10 Levit, Vadim E. 10 Montejano, Luis Pedro 10 Samadi, Babak 10 Samodivkin, Vladimir D. 10 Winzen, Stefan 10 Yeo, Anders 9 Guo, Qiaoping 9 Li, Ruijuan 9 Lu, Mei 9 Mandrescu, Eugen 9 Ou, Jianping 9 Vatandoost, Ebrahim 8 Fang, Mingliang 8 Lahiri, Indrajit 8 Li, Shengjia 8 Meng, Wei 8 Poureidi, Abolfazl 8 Yang, Weihua 8 Yero, Ismael Gonzalez 7 Chen, Xiaodan 7 Diánez, Ana 7 Gutin, Gregory Z. 7 He, Zhihong 7 Hedetniemi, Stephen Travis 7 Kang, Liying 7 Laine, Ilpo 7 Liu, Qinghai 7 Rall, Douglas F. 7 Sigarreta Almira, José María 7 Souza, Uéverton S. 7 Tian, Yingzhi 7 Topp, Jerzy 7 Wu, Pu 7 Zhao, Shuang 6 Atapour, Maryam 6 Bouchou, Ahmed 6 Caro, Yair 6 Das, Kinkar Chandra 6 Faria, Luerbio 6 Favaron, Odile 6 Galeana-Sánchez, Hortensia 6 Hong, Yanmei 6 Hu, Futao 6 Huang, Jia 6 Kheddouci, Hamamache 6 Kuenzel, Kirsti 6 Li, Chunfang 6 Lu, You 6 Marcote, Xavier 6 Olsen, Mika 6 Valenzuela Tripodoro, Juan Carlos 6 Wu, Baoyindureng 6 Zhang, Heping 6 Zverovich, Vadim E. 5 Andriantiana, Eric Ould Dadah 5 Asgharsharghi, Leila 5 Cera, Martín 5 Cheng, Eddie 5 Davila, Randy Ryan 5 Dettlaff, Magda 5 Figueroa, Ana Paulina 5 Gagarin, Andrei ...and 1,370 more Authors all top 5 Cited in 204 Serials 178 Discrete Applied Mathematics 176 Discrete Mathematics 73 Graphs and Combinatorics 53 Communications in Combinatorics and Optimization 49 Discrete Mathematics, Algorithms and Applications 47 Discussiones Mathematicae. Graph Theory 37 Journal of Combinatorial Optimization 35 Theoretical Computer Science 34 Applied Mathematics and Computation 29 Journal of Mathematical Analysis and Applications 25 Information Processing Letters 23 AKCE International Journal of Graphs and Combinatorics 22 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 19 Journal of Graph Theory 19 The Australasian Journal of Combinatorics 18 Applied Mathematics Letters 16 Acta Mathematica Sinica. 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DMTCS 3 Parallel Processing Letters 3 Proyecciones 3 Contributions to Discrete Mathematics 3 Advances and Applications in Discrete Mathematics 3 International Journal of Combinatorics 3 Science China. Mathematics 3 AIMS Mathematics 2 Analysis Mathematica 2 Communications in Algebra 2 Houston Journal of Mathematics 2 Israel Journal of Mathematics 2 Journal d’Analyse Mathématique 2 Kyungpook Mathematical Journal 2 Monatshefte für Mathematik 2 Tamkang Journal of Mathematics 2 Transactions of the American Mathematical Society 2 Acta Mathematica Hungarica 2 SIAM Journal on Discrete Mathematics 2 Science in China. Series A 2 Mathematica Bohemica 2 Designs, Codes and Cryptography 2 European Journal of Operational Research 2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 2 Boletín de la Sociedad Matemática Mexicana. Third Series 2 Computer Science Journal of Moldova 2 Annales Academiae Scientiarum Fennicae. Mathematica 2 Taiwanese Journal of Mathematics 2 Journal of Inequalities and Applications 2 Discrete Dynamics in Nature and Society 2 Communications of the Korean Mathematical Society 2 Proceedings of the National Academy of Sciences, India. Section A. Physical Sciences 2 Mediterranean Journal of Mathematics 2 Complex Variables and Elliptic Equations 2 Complex Analysis and Operator Theory 2 Journal of Commutative Algebra 2 Diskretnyĭ Analiz i Issledovanie Operatsiĭ ...and 104 more Serials all top 5 Cited in 35 Fields 1,171 Combinatorics (05-XX) 162 Computer science (68-XX) 135 Functions of a complex variable (30-XX) 44 Ordinary differential equations (34-XX) 37 Biology and other natural sciences (92-XX) 32 Operations research, mathematical programming (90-XX) 21 Difference and functional equations (39-XX) 11 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 9 Information and communication theory, circuits (94-XX) 8 Commutative algebra (13-XX) 6 Dynamical systems and ergodic theory (37-XX) 5 Group theory and generalizations (20-XX) 4 History and biography (01-XX) 3 Number theory (11-XX) 3 Real functions (26-XX) 3 Special functions (33-XX) 3 General topology (54-XX) 3 Systems theory; control (93-XX) 2 General and overarching topics; collections (00-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Potential theory (31-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Geometry (51-XX) 2 Convex and discrete geometry (52-XX) 2 Algebraic topology (55-XX) 2 Probability theory and stochastic processes (60-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Mathematical logic and foundations (03-XX) 1 Partial differential equations (35-XX) 1 Approximations and expansions (41-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX) 1 Manifolds and cell complexes (57-XX) 1 Statistics (62-XX) 1 Numerical analysis (65-XX) Citations by Year