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: 482 Publications since 1974, including 6 Books Reviewing Activity: 185 Reviews Biographic References: 3 Publications Co-Authors: 135 Co-Authors with 347 Joint Publications 2,434 Co-Co-Authors all top 5 Co-Authors 134 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 Dehgardi, Nasrin 16 Fischermann, Miranca 15 Guo, Yubao 15 Hellwig, Angelika 14 Amjadi, Jafar 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 5 Blidia, Mostafa 5 Favaron, Odile 5 Haynes, Teresa W. 5 Karami, Hossein 5 Khoeilar, Rana 5 Samadi, Babak 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 Klinkenberg, Sabine 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 Hong, Zhenmu 2 Hosseini Moghaddam, Seyyed Mehdi 2 Kämmerling, Karsten 2 Khodkar, Abdollah 2 Korneffel, Torsten 2 Kosari, Saeed 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 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, 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 1 Küpper, Beate 1 Lenkewitz, Ursula 1 Liu, Xinmiao ...and 35 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 18 Journal of Graph Theory 18 Communications in Combinatorics and Optimization 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 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 Opuscula Mathematica 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 448 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 378 Publications have been cited 2,654 times in 1,327 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 0682.30001Jank, Gerhard; Volkmann, Lutz 84 1985 \(k\)-domination and \(k\)-independence in graphs: A survey. Zbl 1234.05174Chellali, Mustapha; Favaron, Odile; Hansberg, Adriana; Volkmann, Lutz 80 2012 Maximally edge-connected and vertex-connected graphs and digraphs: A survey. Zbl 1160.05038Hellwig, Angelika; Volkmann, Lutz 75 2008 Edge-cuts leaving components of order at least three. Zbl 1017.05063Bonsma, Paul; Ueffing, Nicola; Volkmann, Lutz 56 2002 Wiener index versus maximum degree in trees. Zbl 0993.05061Fischermann, Miranca; Hoffmann, Arne; Rautenbach, Dieter; Székely, László; Volkmann, Lutz 55 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 0603.30037Jank, Gerhard; Mues, Erwin; Volkmann, Lutz 53 1986 Sufficient conditions for graphs to be \(\lambda'\)-optimal, super-edge-connected, and maximally edge-connected. Zbl 1062.05084Hellwig, Angelika; Volkmann, Lutz 39 2005 Double Roman domination and domatic numbers of graphs. Zbl 1384.05128Volkmann, Lutz 37 2018 Varieties of Roman domination. II. Zbl 1468.05202Chellali, M.; Jafari Rad, N.; Sheikholeslami, S. M.; Volkmann, L. 36 2020 A classification of locally semicomplete digraphs. Zbl 0873.05072Bang-Jensen, Jørgen; Guo, Yubao; Gutin, Gregory; Volkmann, Lutz 35 1997 Cycles in multipartite tournaments: Results and problems. Zbl 0996.05063Volkmann, Lutz 34 2002 Roman domination in graphs. Zbl 1479.05255Chellali, Mustapha; Rad, Nader Jafari; Sheikholeslami, Seyed Mahmoud; Volkmann, Lutz 33 2020 New bounds on the \(k\)-domination number and the \(k\)-tuple domination number. Zbl 1137.05054Rautenbach, Dieter; Volkmann, Lutz 31 2007 Multipartite tournaments: a survey. Zbl 1134.05033Volkmann, Lutz 30 2007 Sufficient conditions for \(\lambda'\)-optimality in graphs of diameter 2. Zbl 1042.05056Hellwig, Angelika; Volkmann, Lutz 28 2004 Upper bounds on the \(k\)-domination number and the \(k\)-Roman domination number. Zbl 1179.05081Hansberg, Adriana; Volkmann, Lutz 27 2009 Bondage, insensitivity, and reinforcement. Zbl 0894.05025Dunbar, Jean E.; Teschner, Ulrich; Haynes, Teresa W.; Volkmann, Lutz 27 1998 On \(k\)-domination and minimum degree in graphs. Zbl 1211.05110Favaron, Odile; Hansberg, Adriana; Volkmann, Lutz 26 2008 Varieties of Roman domination. Zbl 1479.05253Chellali, M.; Rad, N. Jafari; Sheikholeslami, S. M.; Volkmann, L. 25 2021 Inverse degree and edge-connectivity. Zbl 1203.05082Dankelmann, Peter; Hellwig, Angelika; Volkmann, Lutz 25 2009 Restricted arc-connectivity of digraphs. Zbl 1183.05046Volkmann, Lutz 24 2007 An upper bound on the double Roman domination number. Zbl 1437.05177Amjadi, J.; Nazari-Moghaddam, S.; Sheikholeslami, S. M.; Volkmann, L. 23 2018 Signed Roman domination in digraphs. Zbl 1327.05141Sheikholeslami, S. M.; Volkmann, L. 22 2015 Signed total Roman domination in graphs. Zbl 1348.05159Volkmann, Lutz 22 2016 Vertex pancyclic graphs. Zbl 1001.05070Randerath, Bert; Schiermeyer, Ingo; Tewes, Meike; Volkmann, Lutz 21 2002 The \(k\)-rainbow domatic number of a graph. Zbl 1255.05139Sheikholeslami, Seyyed Mahmoud; Volkmann, Lutz 20 2012 Roman domination perfect graphs. Zbl 1313.05284Rad, Nader Jafari; Volkmann, Lutz 20 2011 Maximal Roman domination numbers in graphs. Zbl 1373.05133Ahangar, H. Abdollahzadeh; Bahremandpour, A.; Sheikholeslami, S. M.; Soner, N. D.; Tahmasbzadehbaee, Z.; Volkmann, L. 20 2017 Connectivity properties of locally semicomplete digraphs. Zbl 0830.05043Guo, Yubao; Volkmann, Lutz 20 1994 On the well coveredness of products of graphs. Zbl 0776.05090Topp, Jerzy; Volkmann, Lutz 19 1992 Total Roman domination number of trees. Zbl 1375.05190Amjadi, J.; Nazari-Moghaddam, S.; Sheikholeslami, S. M.; Volkmann, L. 19 2017 Restricted edge-connectivity and minimum edge-degree. Zbl 1078.05053Ueffing, Nicola; Volkmann, Lutz 18 2003 Signed Roman \(k\)-domination in graphs. Zbl 1331.05170Henning, Michael A.; Volkmann, Lutz 18 2016 On packing and covering numbers of graphs. Zbl 0759.05077Topp, Jerzy; Volkmann, Lutz 17 1991 Characterization of graphs with equal domination and covering number. Zbl 0955.05088Randerath, Bert; Volkmann, Lutz 17 1998 Degree sequence conditions for maximally edge-connected graphs and digraphs. Zbl 0879.05049Dankelmann, Peter; Volkmann, Lutz 17 1997 Class 1 conditions depending on the minimum degree and the number of vertices of maximum degree. Zbl 0704.05041Niessen, Thomas; Volkmann, Lutz 16 1990 New sufficient conditions for equality of minimum degree and edge-connectivity. Zbl 0839.05065Dankelmann, Peter; Volkmann, Lutz 16 1995 Total double Roman domination in graphs. Zbl 1449.05200Hao, Guoliang; Volkmann, Lutz; Mojdeh, Doost Ali 15 2020 Cuts leaving components of given minimum order. Zbl 1063.05079Hellwig, Angelika; Rautenbach, Dieter; Volkmann, Lutz 15 2005 Nordhaus-Gaddum bounds on the \(k\)-rainbow domatic number of a graph. Zbl 1222.05200Meierling, D.; Sheikholeslami, S. M.; Volkmann, L. 15 2011 Roman \(k\)-domination in graphs. Zbl 1177.05084Kämmerling, Karsten; Volkmann, Lutz 15 2009 A survey on Roman domination parameters in directed graphs. Zbl 1466.05161Chellalil, M.; Rad, N. Jafari; Sheikholeslami, S. M.; Volkmann, L. 15 2020 Well covered and well dominated block graphs and unicyclic graphs. Zbl 0728.05031Topp, Jerzy; Volkmann, Lutz 14 1990 On the geodetic and geodetic domination numbers of a graph. Zbl 1219.05119Hansberg, A.; Volkmann, L. 14 2010 The Roman domination number of a digraph. Zbl 1265.05470Sheikholeslami, S. M.; Volkmann, L. 14 2011 Cycles in multipartite tournaments. Zbl 0807.05034Guo, Yubao; Volkmann, Lutz 14 1994 Almost all almost regular \(c\)-partite tournaments with \(c\geq 5\) are vertex pancyclic. Zbl 0993.05083Tewes, Meike; Volkmann, Lutz; Yeo, Anders 14 2002 Signed domatic number of a graph. Zbl 1079.05071Volkmann, Lutz; Zelinka, Bohdan 14 2005 Some bounds on the \(p\)-domination number in trees. Zbl 1100.05069Blidia, Mostafa; Chellali, Mustapha; Volkmann, Lutz 14 2006 Signed total Roman domination in digraphs. Zbl 1354.05063Volkmann, Lutz 14 2017 Global Roman domination in trees. Zbl 1318.05049Atapour, M.; Sheikholeslami, S. M.; Volkmann, L. 14 2015 The rainbow domination subdivision numbers of graph. Zbl 1464.05284Dehgardi, N.; Sheikholeslami, S. M.; Volkmann, L. 14 2015 Bounds on the outer-independent double Italian domination number. Zbl 1488.05362Azvin, Farzaneh; Jafari, Rad Nader; Volkmann, Lutz 13 2021 A new domination conception. Zbl 0777.05074Stracke, Christoph; Volkmann, Lutz 13 1993 On complementary cycles in locally semicomplete digraphs. Zbl 0816.05036Guo, Yubao; Volkmann, Lutz 13 1994 Fundaments of graph theory. (Fundamente der Graphentheorie.) Zbl 0844.05001Volkmann, Lutz 13 1996 The roman domatic number of a graph. Zbl 1193.05129Sheikholeslami, S. M.; Volkmann, L. 12 2010 Changing and unchanging the roman domination number of graph. Zbl 1273.05162Jafari Rad, Nader; Volkmann, Lutz 12 2012 Total and connected domination in digraphs. Zbl 1244.05163Arumugam, S.; Jacob, K.; Volkmann, Lutz 12 2007 Signed Roman \(k\)-domination in trees. Zbl 1311.05150Henning, Michael A.; Volkmann, Lutz 12 2015 Vertex deletion and cycles in multipartite tournaments. Zbl 0939.05046Tewes, Meike; Volkmann, Lutz 12 1999 On graphs with equal domination and 2-domination numbers. Zbl 1145.05041Hansberg, Adriana; Volkmann, Lutz 12 2008 A characterization of well covered block-cactus graphs. Zbl 0805.05070Randerath, Bert; Volkmann, Lutz 12 1994 New bounds on the rainbow domination subdivision number. Zbl 1464.05286Falahat, Mohyedin; Sheikholeslami, Seyed Mahmoud; Volkmann, Lutz 12 2014 The double Roman domatic number of a graph. Zbl 1390.05181Volkmann, Lutz 11 2018 On cycles through a given vertex in multipartite tournaments. Zbl 0883.05087Guo, Yubao; Pinkernell, Axel; Volkmann, Lutz 11 1997 A linear-programming approach to the generalized Randić index. Zbl 1020.05036Fischermann, Miranca; Hoffmann, Arne; Rautenbach, Dieter; Volkmann, Lutz 11 2003 Remarks on the bondage number of planar graphs. Zbl 1009.05104Fischermann, Miranca; Rautenbach, Dieter; Volkmann, Lutz 11 2003 Signed Roman edge domination numbers in graphs. Zbl 1331.05165Ahangar, H. Abdollahzadeh; Amjadi, J.; Sheikholeslami, S. M.; Volkmann, L.; Zhao, Y. 11 2016 The \(k\)-rainbow bondage number of a graph. Zbl 1297.05080Dehgardi, N.; Sheikholeslami, S. M.; Volkmann, L. 11 2014 Roman \(\{ 3 \}\)-domination (double Italian domination). Zbl 1442.05165Mojdeh, Doost Ali; Volkmann, Lutz 10 2020 Vertex and edge critical Roman domination in graphs. Zbl 1293.05264Jafari Rad, Nader; Hansberg, Adriana; Volkmann, Lutz 10 2013 On graphs with equal domination and covering numbers. Zbl 0803.05049Volkmann, Lutz 10 1994 Tree-Ramsey numbers. Zbl 0828.05043Guo, Yubao; Volkmann, Lutz 10 1995 On the signed total Roman domination and domatic numbers of graphs. Zbl 1346.05221Volkmann, Lutz 10 2016 Twin signed Roman domination numbers in directed graphs. Zbl 1358.05209Bodaghli, Asghar; Sheikholeslami, Seyed Mahmoud; Volkmann, Lutz 10 2016 Independence and \(k\)-domination in graphs. Zbl 1210.05096Hansberg, Adriana; Meierling, Dirk; Volkmann, Lutz 10 2011 Signed total Roman \(k\)-domination in graphs. Zbl 1396.05087Volkmann, Lutz 9 2018 The signed Roman domatic number of a graph. Zbl 1274.05366Sheikholeslami, Seyed Mahmoud; Volkmann, Lutz 9 2012 Strong subtournaments of multipartite tournaments. Zbl 0935.05051Volkmann, Lutz 9 1999 Degree sequence conditions for maximally edge-connected graphs depending on the clique number. Zbl 0941.05019Dankelmann, Peter; Volkmann, Lutz 9 2000 Almost regular \(c\)-partite tournaments contain a strong subtournament of order \(c\) when \(c\geqslant 5\). Zbl 1139.05028Volkmann, Lutz; Winzen, Stefan 9 2008 Vertex pancyclic in-tournaments. Zbl 0971.05052Tewes, Meike; Volkmann, Lutz 9 2001 Sufficient conditions for equality of connectivity and minimum degree of a graph. Zbl 0794.05063Topp, Jerzy; Volkmann, Lutz 9 1993 The \(k\)-rainbow reinforcement numbers in graphs. Zbl 1358.05205Amjadi, J.; Asgharsharghi, L.; Dehgardi, N.; Furuya, M.; Sheikholeslami, S. M.; Volkmann, L. 9 2017 Graphs with large geodetic number. Zbl 1464.05276Ahangar, Hossein Abdollahzadeh; Kosari, Saeed; Sheikholeslami, Seyed Mahmoud; Volkmann, Lutz 9 2015 On graphs with equal domination and independent domination numbers. Zbl 0746.05073Topp, Jerzy; Volkmann, Lutz 8 1991 Estimations for the domination number of a graph. Zbl 0699.05055Flach, Peter; Volkmann, Lutz 8 1990 Roman bondage in graphs. Zbl 1255.05137Jafari Rad, Nader; Volkmann, Lutz 8 2011 Distance domination and distance irredundance in graphs. Zbl 1122.05070Hansberg, Adriana; Meierling, Dirk; Volkmann, Lutz 8 2007 Locally semicomplete digraphs that are complementary \(m\)-pancyclic. Zbl 0845.05048Guo, Yubao; Volkmann, Lutz 8 1996 A note on the number of matchings and independent sets in trees. Zbl 1056.05035Fischermann, Miranca; Volkmann, Lutz; Rautenbach, Dieter 8 2005 Complementary cycles in regular multipartite tournaments, where one cycle has length four. Zbl 1063.05064Volkmann, Lutz 8 2004 The connectivity of a graph and its complement. Zbl 1178.05055Hellwig, Angelika; Volkmann, Lutz 8 2008 Geodetic domination in graphs. Zbl 1238.05072Escuadro, H.; Gera, R.; Hansberg, A.; Rad, N. Jafari; Volkmann, L. 8 2011 Estimations for the number of cycles in a graph. Zbl 0880.05057Volkmann, L. 8 1996 On the Roman bondage number of planar graphs. Zbl 1235.05105Jafari Rad, Nader; Volkmann, Lutz 7 2011 Signed star domatic number of a graph. Zbl 1226.05189Atapour, M.; Sheikholeslami, S. M.; Ghameshlou, A. N.; Volkmann, L. 7 2010 Note on the connectivity of line graphs. Zbl 1178.68088Hellwig, Angelika; Rautenbach, Dieter; Volkmann, Lutz 7 2004 The Roman domatic problem in graphs and digraphs: a survey. Zbl 1492.05113Chellali, Mustapha; Rad, Nader Jafari; Sheikholeslami, Seyed Mahmoud; Volkmann, Lutz 6 2022 Restrained double Roman domination of a graph. Zbl 1497.05210Mojdeh, Doost Ali; Masoumi, Iman; Volkmann, Lutz 2 2022 Varieties of Roman domination. Zbl 1479.05253Chellali, M.; Rad, N. Jafari; Sheikholeslami, S. M.; Volkmann, L. 25 2021 Bounds on the outer-independent double Italian domination number. Zbl 1488.05362Azvin, Farzaneh; Jafari, Rad Nader; Volkmann, Lutz 13 2021 Signed total Italian \(k\)-domination in graphs. Zbl 1488.05400Volkmann, Lutz 2 2021 Total vertex-edge domination in trees. Zbl 1487.05188Ahangar, H. Abdollahzadeh; Chellali, M.; Sheikholeslami, S. M.; Soroudi, M.; Volkmann, L. 1 2021 Remarks on the outer-independent double Italian domination number. Zbl 1469.05138Volkmann, Lutz 1 2021 Weak signed Roman \(k\)-domination in graphs. Zbl 1488.05399Volkmann, Lutz 1 2021 Domination number, independent domination number and 2-independence number in trees. Zbl 1453.05089Dehgardi, Nasrin; Sheikholeslami, Seyed Mahmoud; Valinavaz, Mina; Aram, Hamideh; Volkmann, Lutz 1 2021 Varieties of Roman domination. II. Zbl 1468.05202Chellali, M.; Jafari Rad, N.; Sheikholeslami, S. M.; Volkmann, L. 36 2020 Roman domination in graphs. Zbl 1479.05255Chellali, Mustapha; Rad, Nader Jafari; Sheikholeslami, Seyed Mahmoud; Volkmann, Lutz 33 2020 Total double Roman domination in graphs. Zbl 1449.05200Hao, Guoliang; Volkmann, Lutz; Mojdeh, Doost Ali 15 2020 A survey on Roman domination parameters in directed graphs. Zbl 1466.05161Chellalil, M.; Rad, N. Jafari; Sheikholeslami, S. M.; Volkmann, L. 15 2020 Roman \(\{ 3 \}\)-domination (double Italian domination). Zbl 1442.05165Mojdeh, Doost Ali; Volkmann, Lutz 10 2020 Graphs with large Italian domination number. Zbl 1451.05174Haynes, Teresa W.; Henning, Michael A.; Volkmann, Lutz 7 2020 Weak signed Roman domination in graphs. Zbl 1488.05398Volkmann, Lutz 5 2020 On the signed Roman \(k\)-domination in graphs. Zbl 1452.05115Amjadi, J.; Nazari-Moghaddam, S.; Sheikholeslami, S. M.; Volkmann, L. 3 2020 Multiple domination. Zbl 1479.05267Hansberg, Adriana; Volkmann, Lutz 3 2020 A note on the Roman domatic number of a digraph. Zbl 1449.05205Volkmann, Lutz; Meierling, D. 1 2020 Nordhaus-Gaddum type inequalities for multiple domination and packing parameters in graphs. Zbl 1508.05131Mojdeh, Doost Ali; Samadi, Babak; Volkmann, Lutz 1 2020 The double Roman domatic number of a digraph. Zbl 1446.05074Volkmann, Lutz 1 2020 Nonnegative signed total Roman domination in graphs. Zbl 1488.05373Dehgardi, Nasrin; Volkmann, Lutz 1 2020 Critical concept for double Roman domination in graphs. Zbl 1456.05125Nazari-Moghaddam, S.; Volkmann, L. 1 2020 Signed total Italian domination in graphs. Zbl 1466.05172Volkmann, Lutz 1 2020 The Italian domatic number of a digraph. Zbl 1412.05085Volkmann, Lutz 6 2019 The Roman \(\{2 \}\)-domatic number of graphs. Zbl 1407.05185Volkmann, Lutz 6 2019 Double Roman domination in digraphs. Zbl 1419.05091Hao, Guoliang; Chen, Xiaodan; Volkmann, Lutz 6 2019 Nonnegative signed Roman domination in graphs. Zbl 1452.05119Dehgardi, Nasrin; Volkmann, L. 5 2019 Italian domination in digraphs. Zbl 1452.05132Volkmann, Lutz 4 2019 On the co-Roman domination in graphs. Zbl 1404.05158Shao, Zehui; Sheikholeslami, Seyed Mahmoud; Soroudi, Marzieh; Volkmann, Lutz; Liu, Xinmiao 2 2019 Bounds on the fair total domination number in trees and unicyclic graphs. Zbl 1419.05168Hajian, Majid; Rad, Nader Jafari; Volkmann, Lutz 2 2019 Locating Roman domination in graphs. Zbl 1427.05168Rad, Nader Jafari; Rahbani, Hadi; Volkmann, Lutz 1 2019 Bounds on the signed Roman \(k\)-domination number of a digraph. Zbl 1401.05213Chen, Xiaodan; Hao, Guoliang; Volkmann, Lutz 1 2019 Signed edge \(k\)-independence in graphs. Zbl 1428.05231Dehgardi, Nasrin; Volkmann, Lutz 1 2019 Nonnegative signed edge domination in graphs. Zbl 1488.05374Dehgardi, N.; Volkmann, L. 1 2019 Double Roman domination and domatic numbers of graphs. Zbl 1384.05128Volkmann, Lutz 37 2018 An upper bound on the double Roman domination number. Zbl 1437.05177Amjadi, J.; Nazari-Moghaddam, S.; Sheikholeslami, S. M.; Volkmann, L. 23 2018 The double Roman domatic number of a graph. Zbl 1390.05181Volkmann, Lutz 11 2018 Signed total Roman \(k\)-domination in graphs. Zbl 1396.05087Volkmann, Lutz 9 2018 Relating the annihilation number and the Roman domination number. Zbl 1413.05278Aram, H.; Khoeilar, R.; Sheikholeslami, S. M.; Volkmann, L. 3 2018 The restrained rainbow bondage number of a graph. Zbl 1400.05168Amjadi, J.; Dehgardi, N.; Khoeilar, R.; Sheikholeslami, S. M.; Volkmann, L. 1 2018 Degree sequence conditions for maximally edge-connected and super-edge-connected digraphs depending on the clique number. Zbl 1376.05065Milz, Sebastian; Volkmann, Lutz 1 2018 Maximal Roman domination numbers in graphs. Zbl 1373.05133Ahangar, H. Abdollahzadeh; Bahremandpour, A.; Sheikholeslami, S. M.; Soner, N. D.; Tahmasbzadehbaee, Z.; Volkmann, L. 20 2017 Total Roman domination number of trees. Zbl 1375.05190Amjadi, J.; Nazari-Moghaddam, S.; Sheikholeslami, S. M.; Volkmann, L. 19 2017 Signed total Roman domination in digraphs. Zbl 1354.05063Volkmann, Lutz 14 2017 The \(k\)-rainbow reinforcement numbers in graphs. Zbl 1358.05205Amjadi, J.; Asgharsharghi, L.; Dehgardi, N.; Furuya, M.; Sheikholeslami, S. M.; Volkmann, L. 9 2017 Sufficient conditions on the zeroth-order general Randić index for maximally edge-connected graphs. Zbl 1352.05098Chen, Zhibing; Su, Guifu; Volkmann, Lutz 7 2017 Twin signed domination numbers in directed graphs. Zbl 1386.05130Atapour, Maryam; Norouzian, Sepideh; Sheikholeslami, Seyed Mahmoud; Volkmann, Lutz 4 2017 The signed total Roman \(k\)-domatic number of a graph. Zbl 1372.05165Volkmann, Lutz 4 2017 Sufficient conditions for maximally edge-connected and super-edge-connected. Zbl 1386.05098Volkmann, Lutz; Hong, Zhen-Mu 3 2017 On the signed \(2\)-independence number of graphs. Zbl 1467.05189Hosseini Moghaddam, S. M.; Mojdeh, D. A.; Samadi, Babak; Volkmann, Lutz 2 2017 Roman game domination number of a graph. Zbl 1409.91056Bahremandpour, A.; Sheikholeslami, S. M.; Volkmann, L. 2 2017 Bounds on the \(l\)-total \(k\)-domatic number of a graph. Zbl 1383.05247Volkmann, Lutz 1 2017 An introduction to the twin signed total -domination numbers in directed graphs. Zbl 1393.05195Atapour, Maryam; Dehgardi, Nasrin; Volkmann, L. 1 2017 Universal arcs in local tournaments. Zbl 1370.05081Meng, Wei; Guo, Jia; Lu, Mei; Guo, Yubao; Volkmann, Lutz 1 2017 Twin signed Roman domatic numbers in digraphs. Zbl 1377.05146Sheikholeslami, Seyed Mahmoud; Volkmann, Lutz 1 2017 Lower bounds on the signed \(k\)-domination number of graphs. Zbl 1463.05427Volkmann, Lutz 1 2017 Signed Roman edge \(k\)-domination in graphs. Zbl 1354.05102Asgharsharghi, Leila; Sheikholeslami, Seyed Mahmoud; Volkmann, Lutz 1 2017 Signed total Roman domination in graphs. Zbl 1348.05159Volkmann, Lutz 22 2016 Signed Roman \(k\)-domination in graphs. Zbl 1331.05170Henning, Michael A.; Volkmann, Lutz 18 2016 Signed Roman edge domination numbers in graphs. Zbl 1331.05165Ahangar, H. Abdollahzadeh; Amjadi, J.; Sheikholeslami, S. M.; Volkmann, L.; Zhao, Y. 11 2016 On the signed total Roman domination and domatic numbers of graphs. Zbl 1346.05221Volkmann, Lutz 10 2016 Twin signed Roman domination numbers in directed graphs. Zbl 1358.05209Bodaghli, Asghar; Sheikholeslami, Seyed Mahmoud; Volkmann, Lutz 10 2016 Signed Roman \(k\)-domination in digraphs. Zbl 1338.05104Volkmann, Lutz 7 2016 Signed total Roman \(k\)-domination in directed graphs. Zbl 1365.05218Dehgardi, Nasrin; Volkmann, Lutz 7 2016 Claw-free graphs with equal 2-domination and domination numbers. Zbl 1462.05277Hansberg, Adriana; Randerath, Bert; Volkmann, Lutz 6 2016 Sufficient conditions on the zeroth-order general Randić index for maximally edge-connected digraphs. Zbl 1365.05114Volkmann, L. 5 2016 Global rainbow domination in graphs. Zbl 1389.05119Amjadi, J.; Sheikholeslami, S. M.; Volkmann, L. 4 2016 The signed Roman \(k\)-domatic number of digraphs. Zbl 1333.05232Volkmann, Lutz 4 2016 Signed mixed Roman domination numbers in graphs. Zbl 1352.05140Abdollahzadeh Ahangar, H.; Asgharsharghi, L.; Sheikholeslami, S. M.; Volkmann, L. 3 2016 Lower bounds on the signed total \(k\)-domination number of graphs. Zbl 1336.05105Volkmann, Lutz 3 2016 Edge-removal and edge-addition in \(\alpha \)-domination. Zbl 1338.05203Jafari Rad, Nader; Volkmann, Lutz 3 2016 The \(k\)-rainbow domination and domatic numbers of digraphs. Zbl 1342.05104Sheikholeslami, S. M.; Volkmann, Lutz 2 2016 New bounds on the signed total domination number of graphs. Zbl 1334.05103Hosseini Moghaddam, Seyyed Mehdi; Mojdeh, Doost Ali; Samadi, Babak; Volkmann, Lutz 1 2016 Rainbow restrained domination numbers in graphs. Zbl 1413.05275Amjadi, J.; Sheikholeslami, S. M.; Volkmann, L. 1 2016 On the rainbow restrained domination number. Zbl 1413.05271Ahangar, H. Abdollahzadeh; Amjadi, J.; Sheikholeslami, S. M.; Samodivkin, V.; Volkmann, L. 1 2016 Total restrained reinforcement in graphs. Zbl 1346.05219Rad, Nader Jafari; Volkmann, Lutz 1 2016 Signed Roman domination in digraphs. Zbl 1327.05141Sheikholeslami, S. M.; Volkmann, L. 22 2015 Global Roman domination in trees. Zbl 1318.05049Atapour, M.; Sheikholeslami, S. M.; Volkmann, L. 14 2015 The rainbow domination subdivision numbers of graph. Zbl 1464.05284Dehgardi, N.; Sheikholeslami, S. M.; Volkmann, L. 14 2015 Signed Roman \(k\)-domination in trees. Zbl 1311.05150Henning, Michael A.; Volkmann, Lutz 12 2015 Graphs with large geodetic number. Zbl 1464.05276Ahangar, Hossein Abdollahzadeh; Kosari, Saeed; Sheikholeslami, Seyed Mahmoud; Volkmann, Lutz 9 2015 The signed Roman domatic number of a digraph. Zbl 1467.05099Sheikholeslami, Seyed Mahmoud; Volkmann, Lutz 7 2015 The signed Roman \(k\)-domatic number of a graph. Zbl 1303.05147Volkmann, Lutz 6 2015 The \(k\)-rainbow bondage number of a digraph. Zbl 1311.05142Amjadi, Jafar; Mohammadi, Negar; Sheikholeslami, Seyed Mahmoud; Volkmann, Lutz 2 2015 Upper bounds on the signed \((k,k)\)-domatic number of digraphs. Zbl 1322.05067Volkmann, Lutz 1 2015 On the signed (total) \(k\)-independence number in graphs. Zbl 1327.05261Khodkar, Abdollah; Samadi, Babak; Volkmann, Lutz 1 2015 New bounds on the rainbow domination subdivision number. Zbl 1464.05286Falahat, Mohyedin; Sheikholeslami, Seyed Mahmoud; Volkmann, Lutz 12 2014 The \(k\)-rainbow bondage number of a graph. Zbl 1297.05080Dehgardi, N.; Sheikholeslami, S. M.; Volkmann, L. 11 2014 \(k\)-tuple total domatic number of a graph. Zbl 1310.05164Sheikholeslami, S. M.; Volkmann, L. 3 2014 Upper bounds for the domination number in graphs of diameter two. Zbl 1293.05270Meierling, Dirk; Volkmann, Lutz 3 2014 Complementary cycles in almost regular multipartite tournaments. Zbl 1324.05078He, Zhihong; Volkmann, Lutz; Wang, Yan 1 2014 Signed star \((k,k)\)-domatic number of a graph. Zbl 1328.05143Sheikholeslami, S. M.; Volkmann, L. 1 2014 Signed \(k\)-independence in graphs. Zbl 1284.05205Volkmann, Lutz 1 2014 Bounds on the \(k\)-independence and \(k\)-chromatic numbers of graphs. Zbl 1313.05106Blidia, Mostafa; Bouchou, Ahmed; Volkmann, Lutz 1 2014 Vertex and edge critical Roman domination in graphs. Zbl 1293.05264Jafari Rad, Nader; Hansberg, Adriana; Volkmann, Lutz 10 2013 On the total \(\{ k\} \)-domination and total \(\{ k\} \)-domatic number of graphs. Zbl 1261.05074Aram, H.; Sheikholeslami, S. M.; Volkmann, L. 7 2013 The rainbow domination number of a digraph. Zbl 1299.05249Amjadi, J.; Bahremandpour, A.; Sheikholeslami, S. M.; Volkmann, L. 6 2013 A note on the independent domination number in graphs. Zbl 1287.05107Rad, Nader Jafari; Volkmann, Lutz 5 2013 Signed \(k\)-domatic numbers of digraphs. Zbl 1317.05067Aram, H.; Atapour, M.; Sheikholeslami, S. M.; Volkmann, L. 3 2013 ...and 278 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,406 Authors 158 Volkmann, Lutz 77 Sheikholeslami, Seyed Mahmoud 47 Chellali, Mustapha 39 Henning, Michael Anthony 37 Jafari Rad, Nader 32 Amjadi, Jafar 27 Ahangar, Hossein Abdollahzadeh 27 Rautenbach, Dieter 21 Wang, Shiying 21 Zhang, Zhao 20 Meng, Jixiang 20 Xu, Junming 19 Guo, Yubao 18 Balbuena, Camino 18 Mojdeh, Doost Ali 16 Dankelmann, Peter 16 García-Vázquez, Pedro 16 Meierling, Dirk 15 Dehgardi, Nasrin 15 Hao, Guoliang 15 Shao, Zehui 15 Wang, Hua 15 Yi, Hongxun 14 Nazari-Moghaddam, Sakineh 13 Bang-Jensen, Jørgen 12 Hansberg, Adriana 12 Khoeilar, Rana 12 Lin, Shangwei 11 Bergweiler, Walter 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 Montejano, Luis Pedro 10 Samodivkin, Vladimir D. 10 Winzen, Stefan 10 Yeo, Anders 9 Guo, Qiaoping 9 Levit, Vadim E. 9 Li, Ruijuan 9 Lu, Mei 9 Mandrescu, Eugen 9 Ou, Jianping 9 Samadi, Babak 9 Vatandoost, Ebrahim 8 Cabrera Martínez, Abel 8 Lahiri, Indrajit 8 Li, Shengjia 8 Meng, Wei 8 Yang, Weihua 8 Yero, Ismael Gonzalez 7 Chen, Xiaodan 7 Diánez, Ana 7 Fang, Mingliang 7 Gutin, Gregory Z. 7 He, Zhihong 7 Hedetniemi, Stephen Travis 7 Kang, Liying 7 Liu, Qinghai 7 Rall, Douglas F. 7 Tian, Yingzhi 7 Wu, Pu 7 Zhao, Shuang 6 Caro, Yair 6 Favaron, Odile 6 Galeana-Sánchez, Hortensia 6 Hong, Yanmei 6 Hu, Futao 6 Huang, Jia 6 Kheddouci, Hamamache 6 Kuenzel, Kirsti 6 Laine, Ilpo 6 Li, Chunfang 6 Lu, You 6 Marcote, Xavier 6 Olsen, Mika 6 Poureidi, Abolfazl 6 Sigarreta Almira, José María 6 Souza, Uéverton S. 6 Wu, Baoyindureng 6 Zhang, Heping 6 Zverovich, Vadim E. 5 Andriantiana, Eric Ould Dadah 5 Asgharsharghi, Leila 5 Atapour, Maryam 5 Bouchou, Ahmed 5 Cera, Martín 5 Cheng, Eddie 5 Das, Kinkar Chandra 5 Davila, Randy Ryan 5 Faria, Luerbio 5 Figueroa, Ana Paulina 5 Gagarin, Andrei 5 Goddard, Wayne Dean 5 Holtkamp, Andreas 5 Kaish, Imrul ...and 1,306 more Authors all top 5 Cited in 197 Serials 175 Discrete Mathematics 174 Discrete Applied Mathematics 72 Graphs and Combinatorics 47 Discussiones Mathematicae. Graph Theory 46 Discrete Mathematics, Algorithms and Applications 40 Communications in Combinatorics and Optimization 37 Journal of Combinatorial Optimization 34 Applied Mathematics and Computation 34 Theoretical Computer Science 29 Journal of Mathematical Analysis and Applications 25 Information Processing Letters 20 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 20 AKCE International Journal of Graphs and Combinatorics 19 The Australasian Journal of Combinatorics 18 Applied Mathematics Letters 17 Journal of Graph Theory 15 Results in Mathematics 15 Acta Mathematica Sinica. 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Series A 3 Mathematical and Computer Modelling 3 International Journal of Foundations of Computer Science 3 Turkish Journal of Mathematics 3 Discrete Mathematics and Theoretical Computer Science. 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 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 Theory of Computing Systems 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 Complex Variables and Elliptic Equations 2 Complex Analysis and Operator Theory 2 Journal of Commutative Algebra 2 Diskretnyĭ Analiz i Issledovanie Operatsiĭ 2 Iranian Journal of Mathematical Sciences and Informatics 2 Journal of the Operations Research Society of China ...and 97 more Serials all top 5 Cited in 35 Fields 1,122 Combinatorics (05-XX) 149 Computer science (68-XX) 132 Functions of a complex variable (30-XX) 41 Ordinary differential equations (34-XX) 36 Biology and other natural sciences (92-XX) 32 Operations research, mathematical programming (90-XX) 20 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 General topology (54-XX) 2 General and overarching topics; collections (00-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Real functions (26-XX) 2 Potential theory (31-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Special functions (33-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) 2 Systems theory; control (93-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